Index

This index lists all documented topics in ACL2, arranged into sections. The first section is devoted to those whose names begin with signs (and digits), such as *STANDARD-CI* and 1+. Thereafter we have one section for each of the 26 letters of the alphabet. The last section is devoted to those topics in the ACL2-PC package. By clicking on the appropriate entry of the line below you can go to the corresponding section of the index. You may use Find to search the Index. We also provide an index based on Major Topics.
Signs A B C D E F G H I J K L M N O P Q R S T U V W X Y Z ACL2-PC:: 



Signs

* -- multiplication macro

*STANDARD-CI* -- an ACL2 character-based analogue of CLTL's *standard-input*

*STANDARD-CO* -- the ACL2 analogue of CLTL's *standard-output*

*STANDARD-OI* -- an ACL2 object-based analogue of CLTL's *standard-input*

*TERMINAL-MARKUP-TABLE* -- a markup table used for printing to the terminal

+ -- addition macro

- -- macro for subtraction and negation

/ -- macro for division and reciprocal

/= -- test inequality of two numbers

1+ -- increment by 1

1- -- decrement by 1

< -- less-than

<= -- less-than-or-equal test

= -- test equality of two numbers

> -- greater-than test

>= -- greater-than-or-equal test

@ -- get the value of a global variable in state



A

A Flying Tour of ACL2 -- A Flying Tour of ACL2

A Sketch of How the Rewriter Works -- A Sketch of How the Rewriter Works

A Tiny Warning Sign -- A Tiny Warning Sign

A Trivial Proof -- A Trivial Proof

A Typical State -- A Typical State

A Walking Tour of ACL2 -- A Walking Tour of ACL2

ABORT! -- to return to the top-level of ACL2's command loop

ABS -- the absolute value of a real number

ACCUMULATED-PERSISTENCE -- to get statistics on which runes are being tried

ACKNOWLEDGMENTS -- some contributors to the well-being of ACL2

ACL2 Characters -- ACL2 Characters

ACL2 Conses or Ordered Pairs -- ACL2 Conses or Ordered Pairs

ACL2 Strings -- ACL2 Strings

ACL2 Symbols -- ACL2 Symbols

ACL2 System Architecture -- ACL2 System Architecture

ACL2 as an Interactive Theorem Prover -- ACL2 as an Interactive Theorem Prover

ACL2 as an Interactive Theorem Prover (continued) -- ACL2 as an Interactive Theorem Prover (continued)

ACL2 is an Untyped Language -- ACL2 is an Untyped Language

ACL2-COUNT -- a commonly used measure for justifying recursion

ACL2-CUSTOMIZATION -- file of initial commands for ACL2 to run at startup

ACL2-DEFAULTS-TABLE -- a table specifying certain defaults, e.g., the default defun-mode

ACL2-HELP -- the acl2-help mailing list

ACL2-NUMBERP -- recognizer for numbers

ACL2-TUTORIAL -- tutorial introduction to ACL2

ACL2-USER -- a package the ACL2 user may prefer

ACONS -- constructor for association lists

ADD-BINOP -- associate a binary function name with a macro name

ADD-DEFAULT-HINTS -- add to the default hints

ADD-DEFAULT-HINTS! -- add to the default hints non-locally

ADD-DIVE-INTO-MACRO -- associate proof-checker diving function with macro name

ADD-INCLUDE-BOOK-DIR -- associate directory to keyword for include-book's :dir argument

ADD-INVISIBLE-FNS -- make some unary functions invisible to the loop-stopper algorithm

ADD-MACRO-ALIAS -- associate a function name with a macro name

ADD-MATCH-FREE-OVERRIDE -- set :match-free value to :once or :all in existing rules

ADD-NTH-ALIAS -- associate one symbol with another for printing of nth/update-nth terms

ADD-RAW-ARITY -- add arity information for raw mode

ADD-TO-SET-EQ -- add a symbol to a list

ADD-TO-SET-EQL -- add an object to a list

ADD-TO-SET-EQUAL -- add an object to a list

ALISTP -- recognizer for association lists

ALLOCATE-FIXNUM-RANGE -- set aside fixnums in GCL

ALPHA-CHAR-P -- recognizer for alphabetic characters

ALPHORDER -- total order on atoms

AND -- conjunction

APPEND -- concatenate two or more lists

APROPOS -- searching :doc and :more-doc text

AREF1 -- access the elements of a 1-dimensional array

AREF2 -- access the elements of a 2-dimensional array

ARGS -- args, guard, type, constraint, etc., of a function symbol

ARRAY1P -- recognize a 1-dimensional array

ARRAY2P -- recognize a 2-dimensional array

ARRAYS -- an introduction to ACL2 arrays.

ARRAYS-EXAMPLE -- an example illustrating ACL2 arrays.

ASET1 -- set the elements of a 1-dimensional array

ASET2 -- set the elements of a 2-dimensional array

ASH -- arithmetic shift operation

ASSERT$ -- cause a hard error if the given test is false

ASSIGN -- assign to a global variable in state

ASSOC -- look up key in association list, using eql as test

ASSOC-EQ -- look up key in association list, using eq as test

ASSOC-EQUAL -- look up key in association list

ASSOC-KEYWORD -- look up key in a keyword-value-listp

ASSOC-STRING-EQUAL -- look up key, a string, in association list

ATOM -- recognizer for atoms

ATOM-LISTP -- recognizer for a true list of atoms

About Models -- About Models

About Types -- About Types

About the ACL2 Home Page -- About the ACL2 Home Page

About the Admission of Recursive Definitions -- About the Admission of Recursive Definitions

About the Prompt -- About the Prompt

An Example Common Lisp Function Definition -- An Example Common Lisp Function Definition

An Example of ACL2 in Use -- An Example of ACL2 in Use

Analyzing Common Lisp Models -- Analyzing Common Lisp Models



B

BACKCHAIN-LIMIT -- limiting the effort expended on relieving hypotheses

BDD -- ordered binary decision diagrams with rewriting

BDD-ALGORITHM -- summary of the BDD algorithm in ACL2

BDD-INTRODUCTION -- examples illustrating the use of BDDs in ACL2

BIBLIOGRAPHY -- reports about ACL2

BINARY-* -- multiplication function

BINARY-+ -- addition function

BINARY-APPEND -- concatenate two lists

BIND-FREE -- to bind free variables of a rewrite or linear rule

BIND-FREE-EXAMPLES -- examples pertaining to bind-free hypotheses

BINOP-TABLE -- associates binary function with the corresponding macro

BOOK-CONTENTS -- restrictions on the forms inside books

BOOK-EXAMPLE -- how to create, certify, and use a simple book

BOOK-MAKEFILES -- makefile support provided with the ACL2 distribution

BOOK-NAME -- conventions associated with book names

BOOKS -- files of ACL2 event forms

BOOLEANP -- recognizer for booleans

BREAK-LEMMA -- a quick introduction to breaking rewrite rules in ACL2

BREAK-ON-ERROR -- break when encountering a hard or soft error caused by ACL2.

BREAK-REWRITE -- the read-eval-print loop entered to monitor rewrite rules

BREAKS -- Common Lisp breaks

BRR -- to enable or disable the breaking of rewrite rules

BRR-COMMANDS -- Break-Rewrite Commands

BRR@ -- to access context sensitive information within break-rewrite

BUILT-IN-CLAUSES -- to build a clause into the simplifier

BUTLAST -- all but a final segment of a list

BY -- hints keyword :BY



C

CAAAAR -- car of the caaar

CAAADR -- car of the caadr

CAAAR -- car of the caar

CAADAR -- car of the cadar

CAADDR -- car of the caddr

CAADR -- car of the cadr

CAAR -- car of the car

CADAAR -- car of the cdaar

CADADR -- car of the cdadr

CADAR -- car of the cdar

CADDAR -- car of the cddar

CADDDR -- car of the cdddr

CADDR -- car of the cddr

CADR -- car of the cdr

CAR -- returns the first element of a non-empty list, else nil

CASE -- conditional based on if-then-else using eql

CASE-MATCH -- pattern matching or destructuring

CASE-SPLIT -- like force but immediately splits the top-level goal on the hypothesis

CASE-SPLIT-LIMITATIONS -- a list of two ``numbers'' limiting the number of cases produced at once

CASES -- hints keyword :CASES

CBD -- connected book directory string

CDAAAR -- cdr of the caaar

CDAADR -- cdr of the caadr

CDAAR -- cdr of the caar

CDADAR -- cdr of the cadar

CDADDR -- cdr of the caddr

CDADR -- cdr of the cadr

CDAR -- cdr of the car

CDDAAR -- cdr of the cdaar

CDDADR -- cdr of the cdadr

CDDAR -- cdr of the cdar

CDDDAR -- cdr of the cddar

CDDDDR -- cdr of the cdddr

CDDDR -- cdr of the cddr

CDDR -- cdr of the cdr

CDR -- returns the second element of a cons pair, else nil

CEILING -- division returning an integer by truncating toward positive infinity

CERTIFICATE -- how a book is known to be admissible and where its defpkgs reside

CERTIFY-BOOK -- how to produce a certificate for a book

CERTIFY-BOOK! -- a variant of certify-book

CHAR -- the nth element (zero-based) of a string

CHAR-CODE -- the numeric code for a given character

CHAR-DOWNCASE -- turn upper-case characters into lower-case characters

CHAR-EQUAL -- character equality without regard to case

CHAR-UPCASE -- turn lower-case characters into upper-case characters

CHAR< -- less-than test for characters

CHAR<= -- less-than-or-equal test for characters

CHAR> -- greater-than test for characters

CHAR>= -- greater-than-or-equal test for characters

CHARACTER-LISTP -- recognizer for a true list of characters

CHARACTERP -- recognizer for characters

CHARACTERS -- characters in ACL2

CHECK-SUM -- assigning ``often unique'' integers to files and objects

CHECKPOINT-FORCED-GOALS -- Cause forcing goals to be checkpointed in proof trees

CLAUSE-IDENTIFIER -- the internal form of a goal-spec

CLOSE-INPUT-CHANNEL -- See io.

CLOSE-OUTPUT-CHANNEL -- See io.

CLOSE-TRACE-FILE -- stop redirecting trace output to a file

CODE-CHAR -- the character corresponding to a given numeric code

COERCE -- coerce a character list to a string and a string to a list

COMMAND -- forms you type at the top-level, but...

COMMAND-DESCRIPTOR -- an object describing a particular command typed by the user

COMP -- compile some ACL2 functions

COMP-GCL -- compile some ACL2 functions leaving .c and .h files

COMPILATION -- compiling ACL2 functions

COMPLEX -- create an ACL2 number

COMPLEX-RATIONALP -- recognizes complex rational numbers

COMPLEX/COMPLEX-RATIONALP -- recognizer for complex numbers

COMPOUND-RECOGNIZER -- make a rule used by the typing mechanism

COMPRESS1 -- remove irrelevant pairs from a 1-dimensional array

COMPRESS2 -- remove irrelevant pairs from a 2-dimensional array

COMPUTED-HINTS -- computing advice to the theorem proving process

CONCATENATE -- concatenate lists or strings together

COND -- conditional based on if-then-else

CONGRUENCE -- the relations to maintain while simplifying arguments

CONJUGATE -- complex number conjugate

CONS -- pair and list constructor

CONSERVATIVITY-OF-DEFCHOOSE -- proof of conservativity of defchoose

CONSP -- recognizer for cons pairs

CONSTRAINT -- restrictions on certain functions introduced in encapsulate events

COPYRIGHT -- ACL2 copyright, license, sponsorship

COROLLARY -- the corollary formula of a rune

CURRENT-PACKAGE -- the package used for reading and printing

CURRENT-THEORY -- currently enabled rules as of logical name

CW -- print to the comment window

CW-GSTACK -- debug a rewriting loop or stack overflow

Common Lisp -- Common Lisp

Common Lisp as a Modeling Language -- Common Lisp as a Modeling Language

Conversion -- Conversion to Uppercase

Corroborating Models -- Corroborating Models



D

DECLARE -- declarations

DECLARE-STOBJS -- declaring a formal parameter name to be a single-threaded object

DEFABBREV -- a convenient form of macro definition for simple expansions

DEFAULT -- return the :default from the header of a 1- or 2-dimensional array

DEFAULT-BACKCHAIN-LIMIT -- specifying the backchain limit for a rule

DEFAULT-DEFUN-MODE -- the default defun-mode of defun'd functions

DEFAULT-HINTS -- a list of hints added to every proof attempt

DEFAULT-HINTS-TABLE -- a table used to provide hints for proofs

DEFAULT-PRINT-PROMPT -- the default prompt printed by ld

DEFAXIOM -- add an axiom

DEFCHOOSE -- define a Skolem (witnessing) function

DEFCONG -- prove that one equivalence relation preserves another in a given
argument position of a given function


DEFCONST -- define a constant

DEFDOC -- add a documentation topic

DEFEQUIV -- prove that a function is an equivalence relation

DEFEVALUATOR -- introduce an evaluator function

DEFEXEC -- attach a terminating executable function to a definition

DEFINE-PC-HELP -- define a macro command whose purpose is to print something

DEFINE-PC-MACRO -- define a proof-checker macro command

DEFINE-PC-META -- define a proof-checker meta command

DEFINITION -- make a rule that acts like a function definition

DEFLABEL -- build a landmark and/or add a documentation topic

DEFMACRO -- define a macro

DEFPKG -- define a new symbol package

DEFREFINEMENT -- prove that equiv1 refines equiv2

DEFSTOBJ -- define a new single-threaded object

DEFSTUB -- stub-out a function symbol

DEFTHEORY -- define a theory (to enable or disable a set of rules)

DEFTHM -- prove and name a theorem

DEFTHMD -- prove and name a theorem and then disable it

DEFUN -- define a function symbol

DEFUN-MODE -- determines whether a function definition is a logical act

DEFUN-MODE-CAVEAT -- functions with defun-mode of :program considered unsound

DEFUN-SK -- define a function whose body has an outermost quantifier

DEFUN-SK-EXAMPLE -- a simple example using defun-sk

DEFUND -- define a function symbol and then disable it

DEFUNS -- an alternative to mutual-recursion

DELETE-INCLUDE-BOOK-DIR -- remove association of keyword for include-book's :dir argument

DENOMINATOR -- divisor of a ratio in lowest terms

DIGIT-CHAR-P -- the number, if any, corresponding to a given character

DIGIT-TO-CHAR -- map a digit to a character

DIMENSIONS -- return the :dimensions from the header of a 1- or 2-dimensional array

DISABLE -- deletes names from current theory

DISABLE-FORCING -- to disallow forced case-splits

DISABLE-IMMEDIATE-FORCE-MODEP -- forced hypotheses are not attacked immediately

DISABLEDP -- determine whether a given name or rune is disabled

DIVE-INTO-MACROS-TABLE -- right-associated function information for the proof-checker

DO-NOT -- hints keyword :DO-NOT

DO-NOT-INDUCT -- hints keyword :DO-NOT-INDUCT

DOC -- brief documentation (type :doc name)

DOC! -- all the documentation for a name (type :doc! name)

DOC-STRING -- formatted documentation strings

DOCS -- available documentation topics (by section)

DOCUMENTATION -- functions that display documentation at the terminal

DOUBLE-REWRITE -- cause a term to be rewritten twice



E

E/D -- enable/disable rules

E0-ORD-< -- the old ordering function for ACL2 ordinals

E0-ORDINALP -- the old recognizer for ACL2 ordinals

EIGHTH -- eighth member of the list

ELIM -- make a destructor elimination rule

EMBEDDED-EVENT-FORM -- forms that may be embedded in other events

ENABLE -- adds names to current theory

ENABLE-FORCING -- to allow forced splits

ENABLE-IMMEDIATE-FORCE-MODEP -- forced hypotheses are attacked immediately

ENCAPSULATE -- constrain some functions and/or hide some events

ENDP -- recognizer for empty lists

ENTER-BOOT-STRAP-MODE -- The first millisecond of the Big Bang

EQ -- equality of symbols

EQL -- test equality (of two numbers, symbols, or characters)

EQLABLE-ALISTP -- recognizer for a true list of pairs whose cars are suitable for eql

EQLABLE-LISTP -- recognizer for a true list of objects each suitable for eql

EQLABLEP -- the guard for the function eql

EQUAL -- true equality

EQUIVALENCE -- mark a relation as an equivalence relation

ER -- print an error message and ``cause an error''

ER-PROGN -- perform a sequence of state-changing ``error triples''

ERROR1 -- print an error message and cause a ``soft error''

ESCAPE-TO-COMMON-LISP -- escaping to Common Lisp

EVENP -- test whether an integer is even

EVENTS -- functions that extend the logic

EVISCERATE-HIDE-TERMS -- to print (hide ...) as <hidden>

EXECUTABLE-COUNTERPART -- a rule for computing the value of a function

EXECUTABLE-COUNTERPART-THEORY -- executable counterpart rules as of logical name

EXISTS -- existential quantifier

EXIT -- quit entirely out of Lisp

EXIT-BOOT-STRAP-MODE -- the end of pre-history

EXPAND -- hints keyword :EXPAND

EXPLODE-NONNEGATIVE-INTEGER -- the list of characters in the radix-r form of a number

EXPT -- exponential function

EXTENDED-METAFUNCTIONS -- state and context sensitive metafunctions

Evaluating App on Sample Input -- Evaluating App on Sample Input



F

FAILED-FORCING -- how to deal with a proof failure in a forcing round

FAILURE -- how to deal with a proof failure

FIFTH -- fifth member of the list

FILE-READING-EXAMPLE -- example of reading files in ACL2

FIND-RULES-OF-RUNE -- find the rules named rune

FIRST -- first member of the list

FIX -- coerce to a number

FIX-TRUE-LIST -- coerce to a true list

FLOOR -- division returning an integer by truncating toward negative infinity

FLUSH-COMPRESS -- flush the under-the-hood array for the given name

FMS -- :(str alist co-channel state evisc) => state

FMS! -- :(str alist co-channel state evisc) => state

FMT -- formatted printing

FMT! -- :(str alist co-channel state evisc) => state

FMT-TO-COMMENT-WINDOW -- print to the comment window

FMT1 -- :(str alist col co-channel state evisc) => (mv col state)

FMT1! -- :(str alist col channel state evisc) => (mv col state)

FORALL -- universal quantifier

FORCE -- identity function used to force a hypothesis

FORCING-ROUND -- a section of a proof dealing with forced assumptions

FORWARD-CHAINING -- make a rule to forward chain when a certain trigger arises

FOURTH -- fourth member of the list

FREE-VARIABLES -- free variables in rules

FREE-VARIABLES-EXAMPLES -- examples pertaining to free variables in rules

FREE-VARIABLES-EXAMPLES-FORWARD-CHAINING -- examples pertaining to free variables in forward-chaining rules

FREE-VARIABLES-EXAMPLES-REWRITE -- examples pertaining to free variables in rewrite rules

FULL-BOOK-NAME -- book naming conventions assumed by ACL2

FUNCTION-THEORY -- function symbol rules as of logical name

FUNCTIONAL-INSTANTIATION-EXAMPLE -- a small proof demonstrating functional instantiation

Flawed Induction Candidates in App Example -- Flawed Induction Candidates in App Example

Free Variables in Top-Level Input -- Free Variables in Top-Level Input

Functions for Manipulating these Objects -- Functions for Manipulating these Objects



G

GC$ -- invoke the garbage collector

GCL -- tips on building and using ACL2 based on Gnu Common Lisp

GENERALIZE -- make a rule to restrict generalizations

GENERALIZED-BOOLEANS -- potential soundness issues related to ACL2 predicates

GOAL-SPEC -- to indicate where a hint is to be used

GOOD-BYE -- quit entirely out of Lisp

GROUND-ZERO -- enabled rules in the startup theory

GUARD -- restricting the domain of a function

GUARD-EXAMPLE -- a brief transcript illustrating guards in ACL2

GUARD-HINTS -- xargs keyword :GUARD-HINTS

GUARD-INTRODUCTION -- introduction to guards in ACL2

GUARD-MISCELLANY -- miscellaneous remarks about guards

GUARD-QUICK-REFERENCE -- brief summary of guard checking and guard verification

GUARDS-AND-EVALUATION -- the relationship between guards and evaluation

GUARDS-FOR-SPECIFICATION -- guards as a specification device

Guards -- Guards

Guessing the Type of a Newly Admitted Function -- Guessing the Type of a Newly Admitted Function

Guiding the ACL2 Theorem Prover -- Guiding the ACL2 Theorem Prover



H

HANDS-OFF -- hints keyword :HANDS-OFF

HARD-ERROR -- print an error message and stop execution

HEADER -- return the header of a 1- or 2-dimensional array

HELP -- brief survey of ACL2 features

HIDDEN-DEATH-PACKAGE -- handling defpkg events that are local

HIDDEN-DEFPKG -- handling defpkg events that are local

HIDE -- hide a term from the rewriter

HINTS -- advice to the theorem proving process

HISTORY -- functions that display or change history

Hey Wait! Is ACL2 Typed or Untyped(Q) -- Hey Wait! Is ACL2 Typed or Untyped?

How Long Does It Take to Become an Effective User(Q) -- How Long Does It Take to Become an Effective User?

How To Find Out about ACL2 Functions -- How To Find Out about ACL2 Functions

How To Find Out about ACL2 Functions (continued) -- How To Find Out about ACL2 Functions (continued)



I

I-AM-HERE -- a convenient marker for use with rebuild

I-CLOSE -- ACL2(r) test for whether two numbers are infinitesimally close

I-LARGE -- ACL2(r) recognizer for infinitely large numbers

I-LIMITED -- ACL2(r) recognizer for limited numbers

I-SMALL -- ACL2(r) recognizer for infinitesimal numbers

IDENTITY -- the identity function

IF -- if-then-else function

IF* -- for conditional rewriting with BDDs

IFF -- logical ``if and only if''

IFIX -- coerce to an integer

ILLEGAL -- print an error message and stop execution

IMAGPART -- imaginary part of a complex number

IMMEDIATE-FORCE-MODEP -- when executable counterpart is enabled,
forced hypotheses are attacked immediately


IMPLIES -- logical implication

IMPROPER-CONSP -- recognizer for improper (non-null-terminated) non-empty lists

IN-ARITHMETIC-THEORY -- designate ``current'' theory for some rewriting done in linear arithmetic

IN-PACKAGE -- select current package

IN-THEORY -- designate ``current'' theory (enabling its rules)

INCLUDE-BOOK -- load the events in a file

INCOMPATIBLE -- declaring that two rules should not both be enabled

INDUCT -- hints keyword :INDUCT

INDUCTION -- make a rule that suggests a certain induction

INSTRUCTIONS -- instructions to the proof checker

INT= -- test equality of two integers

INTEGER-LENGTH -- number of bits in two's complement integer representation

INTEGER-LISTP -- recognizer for a true list of integers

INTEGERP -- recognizer for whole numbers

INTERN -- create a new symbol in a given package

INTERN$ -- create a new symbol in a given package

INTERN-IN-PACKAGE-OF-SYMBOL -- create a symbol with a given name

INTERSECTION-THEORIES -- intersect two theories

INTERSECTP-EQ -- test whether two lists of symbols intersect

INTERSECTP-EQUAL -- test whether two lists intersect

INTRODUCTION -- introduction to ACL2

INVISIBLE-FNS-TABLE -- functions that are invisible to the loop-stopper algorithm

IO -- input/output facilities in ACL2

IRRELEVANT-FORMALS -- formals that are used but only insignificantly



J



K

KEEP -- how we know if include-book read the correct files

KEYWORD-COMMANDS -- how keyword commands are processed

KEYWORD-VALUE-LISTP -- recognizer for true lists whose even-position elements are keywords

KEYWORDP -- recognizer for keywords



L

LAST -- the last cons (not element) of a list

LD -- the ACL2 read-eval-print loop, file loader, and command processor

LD-ERROR-ACTION -- determines ld's response to an error

LD-ERROR-TRIPLES -- determines whether a form caused an error during ld

LD-EVISC-TUPLE -- determines whether ld suppresses details when printing

LD-KEYWORD-ALIASES -- allows the abbreviation of some keyword commands

LD-POST-EVAL-PRINT -- determines whether and how ld prints the result of evaluation

LD-PRE-EVAL-FILTER -- determines which forms ld evaluates

LD-PRE-EVAL-PRINT -- determines whether ld prints the forms to be eval'd

LD-PROMPT -- determines the prompt printed by ld

LD-QUERY-CONTROL-ALIST -- how to default answers to queries

LD-REDEFINITION-ACTION -- to allow redefinition without undoing

LD-SKIP-PROOFSP -- how carefully ACL2 processes your commands

LD-VERBOSE -- determines whether ld prints ``ACL2 Loading ...''

LEMMA-INSTANCE -- an object denoting an instance of a theorem

LEN -- length of a list

LENGTH -- length of a string or proper list

LET -- binding of lexically scoped (local) variables

LET* -- binding of lexically scoped (local) variables

LEXORDER -- total order on ACL2 objects

LINEAR -- make some arithmetic inequality rules

LINEAR-ARITHMETIC -- A description of the linear arithmetic decision procedure

LIST -- build a list

LIST* -- build a list

LISTP -- recognizer for (not necessarily proper) lists

LOCAL -- hiding an event in an encapsulation or book

LOCAL-INCOMPATIBILITY -- when non-local events won't replay in isolation

LOGAND -- bitwise logical `and' of zero or more integers

LOGANDC1 -- bitwise logical `and' of two ints, complementing the first

LOGANDC2 -- bitwise logical `and' of two ints, complementing the second

LOGBITP -- the ith bit of an integer

LOGCOUNT -- number of ``on'' bits in a two's complement number

LOGEQV -- bitwise logical equivalence of zero or more integers

LOGIC -- to set the default defun-mode to :logic

LOGICAL-NAME -- a name created by a logical event

LOGIOR -- bitwise logical inclusive or of zero or more integers

LOGNAND -- bitwise logical `nand' of two integers

LOGNOR -- bitwise logical `nor' of two integers

LOGNOT -- bitwise not of a two's complement number

LOGORC1 -- bitwise logical inclusive or of two ints, complementing the first

LOGORC2 -- bitwise logical inclusive or of two ints, complementing the second

LOGTEST -- test if two integers share a `1' bit

LOGXOR -- bitwise logical exclusive or of zero or more integers

LOOP-STOPPER -- limit application of permutative rewrite rules

LOWER-CASE-P -- recognizer for lower case characters

LP -- the Common Lisp entry to ACL2



M

MACRO-ALIASES-TABLE -- a table used to associate function names with macro names

MACRO-ARGS -- the formals list of a macro definition

MACRO-COMMAND -- compound command for the proof-checker

MAKE-CHARACTER-LIST -- coerce to a list of characters

MAKE-LIST -- make a list of a given size

MAKE-ORD -- a constructor for ordinals.

MAKEFILES -- See book-makefiles.

MARKUP -- the markup language for ACL2 documentation strings

MAX -- the larger of two numbers

MAXIMUM-LENGTH -- return the :maximum-length from the header of an array

MBE -- attach code for execution

MBT -- introduce a test not to be evaluated

MEASURE -- xargs keyword :MEASURE

MEMBER -- membership predicate, using eql as test

MEMBER-EQ -- membership predicate, using eq as test

MEMBER-EQUAL -- membership predicate

META -- make a :meta rule (a hand-written simplifier)

MIN -- the smaller of two numbers

MINIMAL-THEORY -- a minimal theory to enable

MINUSP -- test whether a number is negative

MISCELLANEOUS -- a miscellany of documented functions and concepts
(often cited in more accessible documentation)


MOD -- remainder using floor

MODE -- xargs keyword :MODE

MONITOR -- to monitor the attempted application of a rule name

MONITORED-RUNES -- print the monitored runes and their break conditions

MORE -- your response to :doc or :more's ``(type :more...)''

MORE! -- another response to ``(type :more for more, :more! for the rest)''

MORE-DOC -- a continuation of the :doc documentation

MUST-BE-EQUAL -- attach code for execution

MUTUAL-RECURSION -- define some mutually recursive functions

MUTUAL-RECURSION-PROOF-EXAMPLE -- a small proof about mutually recursive functions

MV -- returning multiple values

MV-LET -- calling multi-valued ACL2 functions

MV-NTH -- the mv-nth element (zero-based) of a list

Modeling in ACL2 -- Modeling in ACL2

Models in Engineering -- Models in Engineering

Models of Computer Hardware and Software -- Models of Computer Hardware and Software



N

NAME -- syntactic rules on logical names

NATP -- a recognizer for the natural numbers

NFIX -- coerce to a natural number

NINTH -- ninth member of the list

NO-DUPLICATESP -- check for duplicates in a list (using eql for equality)

NO-DUPLICATESP-EQUAL -- check for duplicates in a list (using equal for equality)

NON-EXECUTABLE -- xargs keyword :NON-EXECUTABLE

NON-LINEAR-ARITHMETIC -- Non-linear Arithmetic

NONLINEARP -- hints keyword :NONLINEARP

NONNEGATIVE-INTEGER-QUOTIENT -- natural number division function

NORMALIZE -- xargs keyword :NORMALIZE

NOT -- logical negation

NOTE-2-0 -- ACL2 Version 2.0 (July, 1997) Notes

NOTE-2-1 -- ACL2 Version 2.1 (December, 1997) Notes

NOTE-2-2 -- ACL2 Version 2.2 (August, 1998) Notes

NOTE-2-3 -- ACL2 Version 2.3 (October, 1998) Notes

NOTE-2-4 -- ACL2 Version 2.4 (August, 1999) Notes

NOTE-2-5 -- ACL2 Version 2.5 (June, 2000) Notes

NOTE-2-5(R) -- ACL2 Version 2.5(r) (June, 2000) Notes

NOTE-2-6 -- ACL2 Version 2.6 (November, 2001) Notes

NOTE-2-6(R) -- ACL2 Version 2.6(r) (November, 2001) Notes

NOTE-2-6-GUARDS -- ACL2 Version 2.6 Notes on Guard-related Changes

NOTE-2-6-NEW-FUNCTIONALITY -- ACL2 Version 2.6 Notes on New Functionality

NOTE-2-6-OTHER -- ACL2 Version 2.6 Notes on Other (Minor) Changes

NOTE-2-6-PROOF-CHECKER -- ACL2 Version 2.6 Notes on Proof-checker Changes

NOTE-2-6-PROOFS -- ACL2 Version 2.6 Notes on Changes in Proof Engine

NOTE-2-6-RULES -- ACL2 Version 2.6 Notes on Changes in Rules and Constants

NOTE-2-6-SYSTEM -- ACL2 Version 2.6 Notes on System-level Changes

NOTE-2-7 -- ACL2 Version 2.7 (November, 2002) Notes

NOTE-2-7(R) -- ACL2 Version 2.7(r) (November, 2002) Notes

NOTE-2-7-BUG-FIXES -- ACL2 Version 2.7 Notes on Bug Fixes

NOTE-2-7-GUARDS -- ACL2 Version 2.7 Notes on Guard-related Changes

NOTE-2-7-NEW-FUNCTIONALITY -- ACL2 Version 2.7 Notes on New Functionality

NOTE-2-7-OTHER -- ACL2 Version 2.7 Notes on Miscellaneous Changes

NOTE-2-7-PROOF-CHECKER -- ACL2 Version 2.7 Notes on Proof-checker Changes

NOTE-2-7-PROOFS -- ACL2 Version 2.7 Notes on Changes in Proof Engine

NOTE-2-7-RULES -- ACL2 Version 2.7 Notes on Changes in Rules and Constants

NOTE-2-7-SYSTEM -- ACL2 Version 2.7 Notes on System-level Changes

NOTE-2-8 -- ACL2 Version 2.8 (March, 2004) Notes

NOTE-2-8(R) -- ACL2 Version 2.8(r) (March, 2003) Notes

NOTE-2-8-BUG-FIXES -- ACL2 Version 2.8 Notes on Bug Fixes

NOTE-2-8-GUARDS -- ACL2 Version 2.8 Notes on Guard-related Changes

NOTE-2-8-NEW-FUNCTIONALITY -- ACL2 Version 2.8 Notes on New Functionality

NOTE-2-8-ORDINALS -- ACL2 Version 2.8 Notes on Changes to the Ordinals

NOTE-2-8-OTHER -- ACL2 Version 2.8 Notes on Miscellaneous Changes

NOTE-2-8-PROOF-CHECKER -- ACL2 Version 2.8 Notes on Proof-checker Changes

NOTE-2-8-PROOFS -- ACL2 Version 2.8 Notes on Changes in Proof Engine

NOTE-2-8-RULES -- ACL2 Version 2.8 Notes on Changes in Rules, Definitions, and Constants

NOTE-2-8-SYSTEM -- ACL2 Version 2.8 Notes on System-level Changes

NOTE-2-9 -- ACL2 Version 2.9 (October, 2004) Notes

NOTE-2-9(R) -- ACL2 Version 2.9(r) (October, 2004) Notes

NOTE-2-9-1 -- ACL2 Version 2.9.1 (December, 2004) Notes

NOTE-2-9-2 -- ACL2 Version 2.9.2 (April, 2005) Notes

NOTE-2-9-3 -- ACL2 Version 2.9.4 (August, 2005) Notes

NOTE-2-9-3-PPR-CHANGE -- change in pretty-printing for ACL2 Version_2.9.3

NOTE-2-9-4 -- ACL2 Version 2.9.4 (January, 2006) Notes

NOTE1 -- Acl2 Version 1.1 Notes

NOTE2 -- Acl2 Version 1.2 Notes

NOTE3 -- Acl2 Version 1.3 Notes

NOTE4 -- Acl2 Version 1.4 Notes

NOTE5 -- Acl2 Version 1.5 Notes

NOTE6 -- Acl2 Version 1.6 Notes

NOTE7 -- ACL2 Version 1.7 (released October 1994) Notes

NOTE8 -- ACL2 Version 1.8 (May, 1995) Notes

NOTE8-UPDATE -- ACL2 Version 1.8 (Summer, 1995) Notes

NOTE9 -- ACL2 Version 1.9 (Fall, 1996) Notes

NQTHM-TO-ACL2 -- ACL2 analogues of Nqthm functions and commands

NTH -- the nth element (zero-based) of a list

NTH-ALIASES-TABLE -- a table used to associate names for nth/update-nth printing

NTHCDR -- final segment of a list

NU-REWRITER -- rewriting NTH/UPDATE-NTH expressions

NULL -- recognizer for the empty list

NUMERATOR -- dividend of a ratio in lowest terms

Name the Formula Above -- Name the Formula Above

Nontautological Subgoals -- Prover output omits some details

Numbers in ACL2 -- Numbers in ACL2



O

O-FINP -- recognizes if an ordinal is finite

O-FIRST-COEFF -- returns the first coefficient of an ordinal

O-FIRST-EXPT -- the first exponent of an ordinal

O-INFP -- recognizes if an ordinal is infinite

O-P -- a recognizer for the ordinals up to epsilon-0

O-RST -- returns the rest of an infinite ordinal

O< -- the well-founded less-than relation on ordinals up to epsilon-0

O<= -- the less-than-or-equal relation for the ordinals

O> -- the greater-than relation for the ordinals

O>= -- the greater-than-or-equal relation for the ordinals

OBDD -- ordered binary decision diagrams with rewriting

ODDP -- test whether an integer is odd

OK-IF -- conditional exit from break-rewrite

OOPS -- undo a :u or :ubt

OPEN-INPUT-CHANNEL -- See io.

OPEN-INPUT-CHANNEL-P -- See io.

OPEN-OUTPUT-CHANNEL -- See io.

OPEN-OUTPUT-CHANNEL-P -- See io.

OPEN-TRACE-FILE -- redirect trace output to a file

OR -- disjunction

ORDINALS -- ordinals in ACL2

OTF-FLG -- pushing all the initial subgoals

OTHER -- other commonly used top-level functions

On the Naming of Subgoals -- On the Naming of Subgoals

Other Requirements -- Other Requirements

Overview of the Expansion of ENDP in the Base Case -- Overview of the Expansion of ENDP in the Base Case

Overview of the Expansion of ENDP in the Induction Step -- Overview of the Expansion of ENDP in the Induction Step

Overview of the Final Simplification in the Base Case -- Overview of the Final Simplification in the Base Case

Overview of the Proof of a Trivial Consequence -- Overview of the Proof of a Trivial Consequence

Overview of the Simplification of the Base Case to T -- Overview of the Simplification of the Base Case to T

Overview of the Simplification of the Induction Conclusion -- Overview of the Simplification of the Induction Conclusion

Overview of the Simplification of the Induction Step to T -- Overview of the Simplification of the Induction Step to T



P

PACKAGE-REINCARNATION-IMPORT-RESTRICTIONS -- re-defining undone defpkgs

PAIRLIS -- See pairlis$

PAIRLIS$ -- zipper together two lists

PATHNAME -- introduction to filename conventions in ACL2

PBT -- print the commands back through a command descriptor

PC -- print the command described by a command descriptor

PCB -- print the command block described by a command descriptor

PCB! -- print in full the command block described by a command descriptor

PCS -- print the sequence of commands between two command descriptors

PE -- print the events named by a logical name

PE! -- deprecated (see pe)

PEEK-CHAR$ -- See io.

PF -- print the formula corresponding to the given name

PKG-WITNESS -- return a specific symbol in the indicated package

PL -- print the rules for the given name or term

PLUSP -- test whether a number is positive

PORTCULLIS -- the gate guarding the entrance to a certified book

POSITION -- position of an item in a string or a list, using eql as test

POSITION-EQ -- position of an item in a string or a list, using eq as test

POSITION-EQUAL -- position of an item in a string or a list

POSP -- a recognizer for the positive integers

PPROGN -- evaluate a sequence of forms that return state

PR -- print the rules stored by the event with the given name

PR! -- print rules stored by the command with a given command descriptor

PRINC$ -- print a string

PRINT-DOC-START-COLUMN -- printing the one-liner

PRINT-OBJECT$ -- See io.

PROG2$ -- execute two forms and return the value of the second one

PROGN -- an abbreviation for er-progn

PROGRAM -- to set the default defun-mode to :program

PROGRAMMING -- built-in ACL2 functions

PROMPT -- the prompt printed by ld

PROOF-CHECKER -- support for low-level interaction

PROOF-CHECKER-COMMANDS -- list of commands for the proof-checker

PROOF-OF-WELL-FOUNDEDNESS -- a proof that o< is well-founded on o-ps

PROOF-TREE -- proof tree displays

PROOF-TREE-BINDINGS -- using emacs with proof trees

PROOF-TREE-DETAILS -- proof tree details not covered elsewhere

PROOF-TREE-EMACS -- using emacs with proof trees

PROOF-TREE-EXAMPLES -- proof tree example

PROOFS-CO -- the proofs character output channel

PROPER-CONSP -- recognizer for proper (null-terminated) non-empty lists

PROPS -- print the ACL2 properties on a symbol

PSEUDO-TERMP -- a predicate for recognizing term-like s-expressions

PSO -- show the most recently saved output

PSO! -- show the most recently saved output, including proof-tree output

PSTACK -- seeing what is the prover up to

PUFF -- replace a compound command by its immediate subevents

PUFF* -- replace a compound command by its subevents

PUSH-UNTOUCHABLE -- add name or list of names to the list of untouchable symbols

PUT-ASSOC-EQ -- modify an association list by associating a value with a key

PUT-ASSOC-EQL -- modify an association list by associating a value with a key

PUT-ASSOC-EQUAL -- modify an association list by associating a value with a key

Pages Written Especially for the Tours -- Pages Written Especially for the Tours

Perhaps -- Perhaps

Popping out of an Inductive Proof -- Popping out of an Inductive Proof

Proving Theorems about Models -- Proving Theorems about Models



Q

Q -- quit ACL2 (type :q) -- reenter with (lp)

QUANTIFIERS -- issues about quantification in ACL2

QUANTIFIERS-USING-DEFUN-SK -- quantification example

QUANTIFIERS-USING-DEFUN-SK-EXTENDED -- quantification example with details

QUANTIFIERS-USING-RECURSION -- recursion for implementing quantification

QUIT -- quit entirely out of Lisp



R

RASSOC -- look up value in association list, using eql as test

RASSOC-EQ -- look up value in association list, using eq as test

RASSOC-EQUAL -- look up value in association list, using equal as test

RATIONAL-LISTP -- recognizer for a true list of rational numbers

RATIONALP -- recognizer for rational numbers (ratios and integers)

READ-BYTE$ -- See io.

READ-CHAR$ -- See io.

READ-OBJECT -- See io.

REAL -- ACL2(r) support for real numbers

REAL-LISTP -- ACL2(r) recognizer for a true list of real numbers

REAL/RATIONALP -- recognizer for rational numbers (including real number in ACL2(r))

REALFIX -- coerce to a real number

REALPART -- real part of a complex number

REBUILD -- a convenient way to reconstruct your old state

REDEF -- a common way to set ld-redefinition-action

REDEF! -- system hacker's redefinition command

REDEFINED-NAMES -- to collect the names that have been redefined

REDEFINING-PROGRAMS -- an explanation of why we restrict redefinitions

REDUNDANT-EVENTS -- allowing a name to be introduced ``twice''

REFINEMENT -- record that one equivalence relation refines another

RELEASE-NOTES -- pointers to what has changed

REM -- remainder using truncate

REMOVE -- remove all occurrences, testing using eql

REMOVE-BINOP -- remove the association of a binary function name with a macro name

REMOVE-DEFAULT-HINTS -- remove from the default hints

REMOVE-DEFAULT-HINTS! -- remove from the default hints non-locally

REMOVE-DIVE-INTO-MACRO -- removes association of proof-checker diving function with macro name

REMOVE-DUPLICATES -- remove duplicates from a string or (using eql) a list

REMOVE-DUPLICATES-EQUAL -- remove duplicates from a list

REMOVE-EQ -- remove all occurrences, testing using eq

REMOVE-EQUAL -- remove all occurrences, testing using equal

REMOVE-INVISIBLE-FNS -- make some unary functions no longer invisible

REMOVE-MACRO-ALIAS -- remove the association of a function name with a macro name

REMOVE-NTH-ALIAS -- remove the association of one symbol with another for printing of nth/update-nth terms

REMOVE-RAW-ARITY -- remove arity information for raw mode

REMOVE1 -- remove first occurrences, testing using eql

REMOVE1-EQ -- remove first occurrences, testing using eq

REMOVE1-EQUAL -- remove first occurrences, testing using equal

RESET-KILL-RING -- save memory by resetting and perhaps resizing the kill ring used by oops

RESET-LD-SPECIALS -- restores initial settings of the ld specials

RESIZE-LIST -- list resizer in support of stobjs

REST -- rest (cdr) of the list

RESTRICT -- hints keyword :RESTRICT

RETRIEVE -- re-enter a (specified) proof-checker state

REVAPPEND -- concatentate the reverse of one list to another

REVERSE -- reverse a list or string

REWRITE -- make some :rewrite rules (possibly conditional ones)

REWRITE-STACK-LIMIT -- limiting the stack depth of the ACL2 rewriter

RFIX -- coerce to a rational number

ROUND -- division returning an integer by rounding off

RULE-CLASSES -- adding rules to the data base

RULE-NAMES -- How rules are named.

RUNE -- a rule name

Revisiting the Admission of App -- Revisiting the Admission of App

Rewrite Rules are Generated from DEFTHM Events -- Rewrite Rules are Generated from DEFTHM Events

Running Models -- Running Models



S

SAVE-EXEC -- save an executable image and (for most Common Lisps) a wrapper script

SAVING-AND-RESTORING -- saving and restoring your logical state

SECOND -- second member of the list

SET-ACL2-PRINT-BASE -- control radix in which number are printed

SET-ACL2-PRINT-CASE -- control whether symbols are printed in upper case or in lower case

SET-BACKCHAIN-LIMIT -- Sets the backchain-limit used by the rewriter

SET-BOGUS-MUTUAL-RECURSION-OK -- allow unnecessary ``mutual recursion''

SET-BRR-TERM-EVISC-TUPLE -- controls printing of terms inside the break-rewrite loop

SET-CASE-SPLIT-LIMITATIONS -- set the case-split-limitations

SET-CBD -- to set the connected book directory

SET-COMPILE-FNS -- have each function compiled as you go along.

SET-DEFAULT-BACKCHAIN-LIMIT -- sets the default backchain-limit used when admitting a rule

SET-DEFAULT-HINTS -- set the default hints

SET-DEFAULT-HINTS! -- set the default hints non-locally

SET-DIFFERENCE-EQ -- elements of one list that are not elements of another

SET-DIFFERENCE-EQUAL -- elements of one list that are not elements of another

SET-DIFFERENCE-THEORIES -- difference of two theories

SET-ENFORCE-REDUNDANCY -- require most events to be redundant

SET-GUARD-CHECKING -- control checking guards during execution of top-level forms

SET-IGNORE-OK -- allow unused formals and locals without an ignore declaration

SET-INHIBIT-OUTPUT-LST -- control output

SET-INHIBIT-WARNINGS -- control warnings

SET-INVISIBLE-FNS-TABLE -- set the invisible functions table

SET-IRRELEVANT-FORMALS-OK -- allow irrelevant formals in definitions

SET-LET*-ABSTRACTIONP -- to shorten many prettyprinted clauses

SET-MATCH-FREE-DEFAULT -- provide default for :match-free in future rules

SET-MATCH-FREE-ERROR -- control error vs. warning when :match-free is missing

SET-MEASURE-FUNCTION -- set the default measure function symbol

SET-NON-LINEARP -- to turn on or off non-linear arithmetic reasoning

SET-NU-REWRITER-MODE -- to turn on and off the nu-rewriter

SET-PRINT-CLAUSE-IDS -- cause subgoal numbers to be printed when 'prove output is inhibited

SET-RAW-MODE -- enter or exit ``raw mode,'' a raw Lisp environment

SET-REWRITE-STACK-LIMIT -- Sets the rewrite stack depth used by the rewriter

SET-SAVED-OUTPUT -- save proof output for later display with :pso or :pso!

SET-STATE-OK -- allow the use of STATE as a formal parameter

SET-TAINTED-OKP -- control output

SET-VERIFY-GUARDS-EAGERNESS -- the eagerness with which guard verification is tried.

SET-WELL-FOUNDED-RELATION -- set the default well-founded relation

SEVENTH -- seventh member of the list

SHOW-BDD -- inspect failed BDD proof attempts

SIGNATURE -- how to specify the arity of a constrained function

SIGNUM -- indicator for positive, negative, or zero

SIMPLE -- :definition and :rewrite rules used in preprocessing

SIXTH -- sixth member of the list

SKIP-PROOFS -- skip proofs for a given form -- a quick way to introduce unsoundness

SLOW-ARRAY-WARNING -- a warning issued when arrays are used inefficiently

SOLUTION-TO-SIMPLE-EXAMPLE -- solution to a simple example

SPECIOUS-SIMPLIFICATION -- nonproductive proof steps

STANDARD-CHAR-LISTP -- recognizer for a true list of standard characters

STANDARD-CHAR-P -- recognizer for standard characters

STANDARD-CO -- the character output channel to which ld prints

STANDARD-NUMBERP -- ACL2(r) recognizer for standard numbers

STANDARD-OI -- the standard object input ``channel''

STANDARD-PART -- ACL2(r) function mapping limited numbers to standard numbers

STANDARD-STRING-ALISTP -- recognizer for association lists with standard strings as keys

START-PROOF-TREE -- start displaying proof trees during proofs

STARTUP -- How to start using ACL2; the ACL2 command loop

STATE -- the von Neumannesque ACL2 state object

STOBJ -- single-threaded objects or ``von Neumann bottlenecks''

STOBJ-EXAMPLE-1 -- an example of the use of single-threaded objects

STOBJ-EXAMPLE-1-DEFUNS -- the defuns created by the counters stobj

STOBJ-EXAMPLE-1-IMPLEMENTATION -- the implementation of the counters stobj

STOBJ-EXAMPLE-1-PROOFS -- some proofs involving the counters stobj

STOBJ-EXAMPLE-2 -- an example of the use of arrays in single-threaded objects

STOBJ-EXAMPLE-3 -- another example of a single-threaded object

STOBJS -- xargs keyword :STOBJS

STOP-PROOF-TREE -- stop displaying proof trees during proofs

STRING -- coerce to a string

STRING-APPEND -- concatenate two strings

STRING-DOWNCASE -- in a given string, turn upper-case characters into lower-case

STRING-EQUAL -- string equality without regard to case

STRING-LISTP -- recognizer for a true list of strings

STRING-UPCASE -- in a given string, turn lower-case characters into upper-case

STRING< -- less-than test for strings

STRING<= -- less-than-or-equal test for strings

STRING> -- greater-than test for strings

STRING>= -- less-than-or-equal test for strings

STRINGP -- recognizer for strings

STRIP-CARS -- collect up all first components of pairs in a list

STRIP-CDRS -- collect up all second components of pairs in a list

SUBLIS -- substitute an alist into a tree

SUBSEQ -- subsequence of a string or list

SUBSETP -- test if every member of one list is a member of the other

SUBSETP-EQUAL -- check if all members of one list are members of the other

SUBST -- a single substitution into a tree

SUBSTITUTE -- substitute into a string or a list, using eql as test

SUBVERSIVE-INDUCTIONS -- why we restrict encapsulated recursive functions

SUBVERSIVE-RECURSIONS -- why we restrict encapsulated recursive functions

SYMBOL-< -- less-than test for symbols

SYMBOL-ALISTP -- recognizer for association lists with symbols as keys

SYMBOL-LISTP -- recognizer for a true list of symbols

SYMBOL-NAME -- the name of a symbol (a string)

SYMBOL-PACKAGE-NAME -- the name of the package of a symbol (a string)

SYMBOLP -- recognizer for symbols

SYNTAX -- the syntax of ACL2 is that of Common Lisp

SYNTAXP -- attach a heuristic filter on a :rewrite, :meta, or :linear rule

SYNTAXP-EXAMPLES -- examples pertaining to syntaxp hypotheses

SYS-CALL -- make a system call to the host operating system

SYS-CALL-STATUS -- exit status from the preceding system call

Subsumption of Induction Candidates in App Example -- Subsumption of Induction Candidates in App Example

Suggested Inductions in the Associativity of App Example -- Suggested Inductions in the Associativity of App Example

Symbolic Execution of Models -- Symbolic Execution of Models



T

TABLE -- user-managed tables

TAKE -- initial segment of a list

TENTH -- tenth member of the list

TERM -- the three senses of well-formed ACL2 expressions or formulas

TERM-ORDER -- the ordering relation on terms used by ACL2

TERM-TABLE -- a table used to validate meta rules

THE -- run-time type check

THE-METHOD -- how to find proofs

THEORIES -- sets of runes to enable/disable in concert

THEORY -- retrieve named theory

THEORY-FUNCTIONS -- functions for obtaining or producing theories

THEORY-INVARIANT -- user-specified invariants on theories

THIRD -- third member of the list

THM -- prove a theorem

TIDBITS -- some basic hints for using ACL2

TIME$ -- time a form

TIPS -- some hints for using the ACL2 prover

TOGGLE-PC-MACRO -- change an ordinary macro command to an atomic macro, or vice-versa

TRACE -- tracing functions in ACL2

TRACE$ -- trace the indicated functions

TRANS -- print the macroexpansion of a form

TRANS! -- print the macroexpansion of a form without single-threadedness concerns

TRANS1 -- print the one-step macroexpansion of a form

TRUE-LIST-LISTP -- recognizer for true (proper) lists of true lists

TRUE-LISTP -- recognizer for proper (null-terminated) lists

TRUNCATE -- division returning an integer by truncating toward 0

TTREE -- tag trees

TUTORIAL-EXAMPLES -- examples of ACL2 usage

TUTORIAL1-TOWERS-OF-HANOI -- The Towers of Hanoi Example

TUTORIAL2-EIGHTS-PROBLEM -- The Eights Problem Example

TUTORIAL3-PHONEBOOK-EXAMPLE -- A Phonebook Specification

TUTORIAL4-DEFUN-SK-EXAMPLE -- example of quantified notions

TUTORIAL5-MISCELLANEOUS-EXAMPLES -- miscellaneous ACL2 examples

TYPE-PRESCRIPTION -- make a rule that specifies the type of a term

TYPE-SET -- how type information is encoded in ACL2

TYPE-SET-INVERTER -- exhibit a new decoding for an ACL2 type-set

TYPE-SPEC -- type specifiers in declarations

The Admission of App -- The Admission of App

The Associativity of App -- The Associativity of App

The Base Case in the App Example -- The Base Case in the App Example

The End of the Flying Tour -- The End of the Flying Tour

The End of the Proof of the Associativity of App -- The End of the Proof of the Associativity of App

The End of the Walking Tour -- The End of the Walking Tour

The Event Summary -- The Event Summary

The Expansion of ENDP in the Induction Step (Step 0) -- The Expansion of ENDP in the Induction Step (Step 0)

The Expansion of ENDP in the Induction Step (Step 1) -- The Expansion of ENDP in the Induction Step (Step 1)

The Expansion of ENDP in the Induction Step (Step 2) -- The Expansion of ENDP in the Induction Step (Step 2)

The Falling Body Model -- The Falling Body Model

The Final Simplification in the Base Case (Step 0) -- the Final Simplification in the Base Case (Step 0)

The Final Simplification in the Base Case (Step 1) -- the Final Simplification in the Base Case (Step 1)

The Final Simplification in the Base Case (Step 2) -- the Final Simplification in the Base Case (Step 2)

The Final Simplification in the Base Case (Step 3) -- the Final Simplification in the Base Case (Step 3)

The First Application of the Associativity Rule -- The First Application of the Associativity Rule

The Induction Scheme Selected for the App Example -- The Induction Scheme Selected for the App Example

The Induction Step in the App Example -- The Induction Step in the App Example

The Instantiation of the Induction Scheme -- The Instantiation of the Induction Scheme

The Justification of the Induction Scheme -- The Justification of the Induction Scheme

The Proof of the Associativity of App -- The Proof of the Associativity of App

The Q.E.D. Message -- The Q.E.D. Message

The Rules used in the Associativity of App Proof -- The Rules used in the Associativity of App Proof

The Simplification of the Induction Conclusion (Step 0) -- the Simplification of the Induction Conclusion (Step 0)

The Simplification of the Induction Conclusion (Step 1) -- the Simplification of the Induction Conclusion (Step 1)

The Simplification of the Induction Conclusion (Step 10) -- the Simplification of the Induction Conclusion (Step 10)

The Simplification of the Induction Conclusion (Step 11) -- the Simplification of the Induction Conclusion (Step 11)

The Simplification of the Induction Conclusion (Step 12) -- the Simplification of the Induction Conclusion (Step 12)

The Simplification of the Induction Conclusion (Step 2) -- the Simplification of the Induction Conclusion (Step 2)

The Simplification of the Induction Conclusion (Step 3) -- the Simplification of the Induction Conclusion (Step 3)

The Simplification of the Induction Conclusion (Step 4) -- the Simplification of the Induction Conclusion (Step 4)

The Simplification of the Induction Conclusion (Step 5) -- the Simplification of the Induction Conclusion (Step 5)

The Simplification of the Induction Conclusion (Step 6) -- the Simplification of the Induction Conclusion (Step 6)

The Simplification of the Induction Conclusion (Step 7) -- the Simplification of the Induction Conclusion (Step 7)

The Simplification of the Induction Conclusion (Step 8) -- the Simplification of the Induction Conclusion (Step 8)

The Simplification of the Induction Conclusion (Step 9) -- the Simplification of the Induction Conclusion (Step 9)

The Summary of the Proof of the Trivial Consequence -- The Summary of the Proof of the Trivial Consequence

The Theorem that App is Associative -- The Theorem that App is Associative

The Time Taken to do the Associativity of App Proof -- The Time Taken to do the Associativity of App Proof

The Tours -- The Tours

The WARNING about the Trivial Consequence -- The WARNING about the Trivial Consequence



U

U -- undo last command, without a query

UBT -- undo the commands back through a command descriptor

UBT! -- undo commands, without a query or an error

UNARY-- -- arithmetic negation function

UNARY-/ -- reciprocal function

UNCERTIFIED-BOOKS -- invalid certificates and uncertified books

UNION-EQ -- union of two lists of symbols

UNION-EQUAL -- union of two lists

UNION-THEORIES -- union two theories

UNIVERSAL-THEORY -- all rules as of logical name

UNMONITOR -- to stop monitoring a rule name

UNSAVE -- remove a proof-checker state

UNTRACE$ -- untrace functions

UPDATE-NTH -- modify a list by putting the given value at the given position

UPPER-CASE-P -- recognizer for upper case characters

USE -- hints keyword :USE

USER-DEFINED-FUNCTIONS-TABLE -- an advanced table used to replace certain system functions

USING-COMPUTED-HINTS -- how to use computed hints

USING-COMPUTED-HINTS-1 -- Driving Home the Basics

USING-COMPUTED-HINTS-2 -- One Hint to Every Top-Level Goal in a Forcing Round

USING-COMPUTED-HINTS-3 -- Hints as a Function of the Goal (not its Name)

USING-COMPUTED-HINTS-4 -- Computing the Hints

USING-COMPUTED-HINTS-5 -- Debugging Computed Hints

USING-COMPUTED-HINTS-6 -- Using the computed-hint-replacement feature

USING-COMPUTED-HINTS-7 -- Using the stable-under-simplificationp flag

USING-COMPUTED-HINTS-8 -- Some Final Comments

Undocumented Topic -- Undocumented Topic

Using the Associativity of App to Prove a Trivial Consequence -- Using the Associativity of App to Prove a Trivial Consequence



V

VERBOSE-PSTACK -- seeing what is the prover up to (for advanced users)

VERIFY -- enter the interactive proof checker

VERIFY-GUARDS -- verify the guards of a function

VERIFY-TERMINATION -- convert a function from :program mode to :logic mode

VERSION -- ACL2 Version Number



W

WELL-FOUNDED-RELATION -- show that a relation is well-founded on a set

WET -- evaluate a form and print subsequent error trace

WHY-BRR -- an explanation of why ACL2 has an explicit brr mode

WITH-ERROR-TRACE -- evaluate a form and print subsequent error trace

WITH-LOCAL-STOBJ -- locally bind a single-threaded object

WITH-OUTPUT -- suppressing or turning on specified output for an event

WORLD -- ACL2 property lists and the ACL2 logical data base

WORMHOLE -- ld without state -- a short-cut to a parallel universe

WRITE-BYTE$ -- See io.

What Is ACL2(Q) -- What Is ACL2?

What is Required of the User(Q) -- What is Required of the User?

What is a Mathematical Logic(Q) -- What is a Mathematical Logic?

What is a Mechanical Theorem Prover(Q) -- What is a Mechanical Theorem Prover?

What is a Mechanical Theorem Prover(Q) (continued) -- What is a Mechanical Theorem Prover? (continued)



X

XARGS -- giving hints to defun



Y

You Must Think about the Use of a Formula as a Rule -- You Must Think about the Use of a Formula as a Rule



Z

ZERO-TEST-IDIOMS -- how to test for 0

ZEROP -- test an acl2-number against 0

ZIP -- testing an ``integer'' against 0

ZP -- testing a ``natural'' against 0

ZPF -- testing a nonnegative fixnum against 0



ACL2-PC::

ACL2-PC::= -- (atomic macro)
attempt an equality (or equivalence) substitution


ACL2-PC::ACL2-WRAP -- (macro)
same as (lisp x)


ACL2-PC::ADD-ABBREVIATION -- (primitive)
add an abbreviation


ACL2-PC::BASH -- (atomic macro)
call the ACL2 theorem prover's simplifier


ACL2-PC::BDD -- (atomic macro)
prove the current goal using bdds


ACL2-PC::BK -- (atomic macro)
move backward one argument in the enclosing term


ACL2-PC::BOOKMARK -- (macro)
insert matching ``bookends'' comments


ACL2-PC::CASESPLIT -- (primitive)
split into two cases


ACL2-PC::CG -- (macro)
change to another goal.


ACL2-PC::CHANGE-GOAL -- (primitive)
change to another goal.


ACL2-PC::CLAIM -- (atomic macro)
add a new hypothesis


ACL2-PC::COMM -- (macro)
display instructions from the current interactive session


ACL2-PC::COMMANDS -- (macro)
display instructions from the current interactive session


ACL2-PC::COMMENT -- (primitive)
insert a comment


ACL2-PC::CONTRADICT -- (macro)
same as contrapose


ACL2-PC::CONTRAPOSE -- (primitive)
switch a hypothesis with the conclusion, negating both


ACL2-PC::DEMOTE -- (primitive)
move top-level hypotheses to the conclusion


ACL2-PC::DIVE -- (primitive)
move to the indicated subterm


ACL2-PC::DO-ALL -- (macro)
run the given instructions


ACL2-PC::DO-ALL-NO-PROMPT -- (macro)
run the given instructions, halting once there is a ``failure''


ACL2-PC::DO-STRICT -- (macro)
run the given instructions, halting once there is a ``failure''


ACL2-PC::DROP -- (primitive)
drop top-level hypotheses


ACL2-PC::DV -- (atomic macro)
move to the indicated subterm


ACL2-PC::ELIM -- (atomic macro)
call the ACL2 theorem prover's elimination process


ACL2-PC::EQUIV -- (primitive)
attempt an equality (or congruence-based) substitution


ACL2-PC::EX -- (macro)
exit after possibly saving the state


ACL2-PC::EXIT -- (meta)
exit the interactive proof-checker


ACL2-PC::EXPAND -- (primitive)
expand the current function call without simplification


ACL2-PC::FAIL -- (macro)
cause a failure


ACL2-PC::FORWARDCHAIN -- (atomic macro)
forward chain from an implication in the hyps


ACL2-PC::FREE -- (atomic macro)
create a ``free variable''


ACL2-PC::GENERALIZE -- (primitive)
perform a generalization


ACL2-PC::GOALS -- (macro)
list the names of goals on the stack


ACL2-PC::HELP -- (macro)
proof-checker help facility


ACL2-PC::HELP! -- (macro)
proof-checker help facility


ACL2-PC::HELP-LONG -- (macro)
same as help!


ACL2-PC::HYPS -- (macro)
print the hypotheses


ACL2-PC::ILLEGAL -- (macro)
illegal instruction


ACL2-PC::IN-THEORY -- (primitive)
set the current proof-checker theory


ACL2-PC::INDUCT -- (atomic macro)
generate subgoals using induction


ACL2-PC::LEMMAS-USED -- (macro)
print the runes (definitions, lemmas, ...) used


ACL2-PC::LISP -- (meta)
evaluate the given form in Lisp


ACL2-PC::MORE -- (macro)
proof-checker help facility


ACL2-PC::MORE! -- (macro)
proof-checker help facility


ACL2-PC::NEGATE -- (macro)
run the given instructions, and ``succeed'' if and only if they ``fail''


ACL2-PC::NIL -- (macro)
used for interpreting control-d


ACL2-PC::NOISE -- (meta)
run instructions with output


ACL2-PC::NX -- (atomic macro)
move forward one argument in the enclosing term


ACL2-PC::ORELSE -- (macro)
run the first instruction; if (and only if) it ``fails'', run the
second


ACL2-PC::P -- (macro)
prettyprint the current term


ACL2-PC::P-TOP -- (macro)
prettyprint the conclusion, highlighting the current term


ACL2-PC::PP -- (macro)
prettyprint the current term


ACL2-PC::PRINT -- (macro)
print the result of evaluating the given form


ACL2-PC::PRINT-ALL-CONCS -- (macro)
print all the conclusions of (as yet unproved) goals


ACL2-PC::PRINT-ALL-GOALS -- (macro)
print all the (as yet unproved) goals


ACL2-PC::PRINT-MAIN -- (macro)
print the original goal


ACL2-PC::PRO -- (atomic macro)
repeatedly apply promote


ACL2-PC::PROMOTE -- (primitive)
move antecedents of conclusion's implies term to top-level
hypotheses


ACL2-PC::PROTECT -- (macro)
run the given instructions, reverting to existing state upon
failure


ACL2-PC::PROVE -- (primitive)
call the ACL2 theorem prover to prove the current goal


ACL2-PC::PSO -- (macro)
print the most recent proof attempt from inside the proof-checker


ACL2-PC::PSO! -- (macro)
print the most recent proof attempt from inside the proof-checker


ACL2-PC::PUT -- (macro)
substitute for a ``free variable''


ACL2-PC::QUIET -- (meta)
run instructions without output


ACL2-PC::R -- (macro)
same as rewrite


ACL2-PC::REDUCE -- (atomic macro)
call the ACL2 theorem prover's simplifier


ACL2-PC::REDUCE-BY-INDUCTION -- (macro)
call the ACL2 prover without induction, after going into
induction


ACL2-PC::REMOVE-ABBREVIATIONS -- (primitive)
remove one or more abbreviations


ACL2-PC::REPEAT -- (macro)
repeat the given instruction until it ``fails''


ACL2-PC::REPEAT-REC -- (macro)
auxiliary to repeat


ACL2-PC::REPLAY -- (macro)
replay one or more instructions


ACL2-PC::RESTORE -- (meta)
remove the effect of an UNDO command


ACL2-PC::RETAIN -- (atomic macro)
drop all but the indicated top-level hypotheses


ACL2-PC::RETRIEVE -- (macro)
re-enter the proof-checker


ACL2-PC::REWRITE -- (primitive)
apply a rewrite rule


ACL2-PC::RUN-INSTR-ON-GOAL -- (macro)
auxiliary to THEN


ACL2-PC::RUN-INSTR-ON-NEW-GOALS -- (macro)
auxiliary to then


ACL2-PC::RUNES -- (macro)
print the runes (definitions, lemmas, ...) used


ACL2-PC::S -- (primitive)
simplify the current subterm


ACL2-PC::S-PROP -- (atomic macro)
simplify propositionally


ACL2-PC::SAVE -- (macro)
save the proof-checker state (state-stack)


ACL2-PC::SEQUENCE -- (meta)
run the given list of instructions according to a multitude of
options


ACL2-PC::SHOW-ABBREVIATIONS -- (macro)
display the current abbreviations


ACL2-PC::SHOW-REWRITES -- (macro)
display the applicable rewrite rules


ACL2-PC::SKIP -- (macro)
``succeed'' without doing anything


ACL2-PC::SL -- (atomic macro)
simplify with lemmas


ACL2-PC::SPLIT -- (atomic macro)
split the current goal into cases


ACL2-PC::SR -- (macro)
same as SHOW-REWRITES


ACL2-PC::SUCCEED -- (macro)
run the given instructions, and ``succeed''


ACL2-PC::TH -- (macro)
print the top-level hypotheses and the current subterm


ACL2-PC::THEN -- (macro)
apply one instruction to current goal and another to new subgoals


ACL2-PC::TOP -- (atomic macro)
move to the top of the goal


ACL2-PC::TYPE-ALIST -- (macro)
display the type-alist from the current context


ACL2-PC::UNDO -- (meta)
undo some instructions


ACL2-PC::UNSAVE -- (macro)
remove a proof-checker state


ACL2-PC::UP -- (primitive)
move to the parent (or some ancestor) of the current subterm


ACL2-PC::USE -- (atomic macro)
use a lemma instance


ACL2-PC::WRAP -- (atomic macro)
execute the indicated instructions and combine all the new goals


ACL2-PC::WRAP-INDUCT -- (atomic macro)
same as induct, but create a single goal


ACL2-PC::WRAP1 -- (primitive)
combine goals into a single goal


ACL2-PC::X -- (atomic macro)
expand and (maybe) simplify function call at the current subterm


ACL2-PC::X-DUMB -- (atomic macro)
expand function call at the current subterm, without simplifying