• Top
    • Documentation
    • Books
    • Boolean-reasoning
    • Projects
      • Apt
      • Zfc
      • Acre
      • Milawa
      • Smtlink
      • Abnf
      • Vwsim
      • Isar
      • Wp-gen
      • Dimacs-reader
      • Pfcs
      • Legacy-defrstobj
      • Proof-checker-array
      • Soft
      • C
        • Syntax-for-tools
        • Atc
        • Language
          • Abstract-syntax
          • Integer-ranges
          • Implementation-environments
          • Dynamic-semantics
          • Static-semantics
          • Grammar
            • Cst-statement-conc?
            • Cst-white-space-conc?
            • Cst-token-conc?
            • Cst-external-declaration-conc?
            • Cst-list-list-conc-matchp$
            • Cst-lexeme-conc?
            • Cst-list-list-alt-matchp$
            • Cst-block-item-conc?
            • Cst-list-rep-matchp$
            • Cst-list-elem-matchp$
            • Cst-constant-conc?
            • Cst-comment-conc?
            • Cst-external-declaration-conc2-rep-elem
            • Cst-external-declaration-conc1-rep-elem
            • Cst-struct-declarator-list-conc-rep-elem
            • Cst-storage-class-specifier-conc-rep-elem
            • Cst-matchp$
            • Cst-external-declaration-conc2-rep
            • Cst-external-declaration-conc1-rep
            • Cst-white-space-conc5-rep-elem
            • Cst-white-space-conc4-rep-elem
            • Cst-white-space-conc3-rep-elem
            • Cst-white-space-conc2-rep-elem
            • Cst-white-space-conc1-rep-elem
            • Cst-struct-declarator-list-conc-rep
            • Cst-struct-declarator-conc-rep-elem
            • Cst-storage-class-specifier-conc-rep
            • Cst-storage-class-specifier-conc
            • Cst-specifier-qualifier-list-conc
            • Cst-parameter-type-list-conc-rep-elem
            • Cst-init-declarator-list-conc-rep-elem
            • Cst-init-declarator-list-conc-rep
            • Cst-identifier-nondigit-conc-rep-elem
            • Cst-hexadecimal-prefix-conc-rep-elem
            • Cst-external-declaration-conc2
            • Cst-external-declaration-conc1
            • Cst-enumeration-constant-conc-rep-elem
            • Cst-enumeration-constant-conc-rep
            • Cst-constant-expression-conc-rep-elem
            • Cst-constant-expression-conc-rep
            • Cst-block-item-conc2-rep-elem
            • Cst-block-item-conc1-rep-elem
            • *grammar*
              • *grammar*-tree-operations
            • Cst-white-space-conc5-rep
            • Cst-white-space-conc5
            • Cst-white-space-conc4-rep
            • Cst-white-space-conc4
            • Cst-white-space-conc3-rep
            • Cst-white-space-conc3
            • Cst-white-space-conc2-rep
            • Cst-white-space-conc2
            • Cst-white-space-conc1-rep
            • Cst-white-space-conc1
            • Cst-vertical-tab-conc-rep-elem
            • Cst-unsigned-suffix-conc-rep-elem
            • Cst-unsigned-suffix-conc-rep
            • Cst-typedef-name-conc-rep-elem
            • Cst-struct-declarator-list-conc
            • Cst-struct-declarator-conc-rep
            • Cst-struct-declaration-conc
            • Cst-statement-conc6-rep-elem
            • Cst-statement-conc6-rep
            • Cst-statement-conc5-rep-elem
            • Cst-statement-conc5-rep
            • Cst-statement-conc4-rep-elem
            • Cst-statement-conc4-rep
            • Cst-statement-conc3-rep-elem
            • Cst-statement-conc3-rep
            • Cst-statement-conc2-rep-elem
            • Cst-statement-conc2-rep
            • Cst-statement-conc1-rep-elem
            • Cst-statement-conc1-rep
            • Cst-parameter-type-list-conc-rep
            • Cst-parameter-type-list-conc
            • Cst-parameter-declaration-conc
            • Cst-lexeme-conc3-rep-elem
            • Cst-lexeme-conc2-rep-elem
            • Cst-lexeme-conc1-rep-elem
            • Cst-init-declarator-list-conc
            • Cst-identifier-nondigit-conc-rep
            • Cst-identifier-nondigit-conc
            • Cst-horizontal-tab-conc-rep-elem
            • Cst-hexadecimal-prefix-conc-rep
            • Cst-hexadecimal-prefix-conc
            • Cst-function-definition-conc
            • Cst-expression-statement-conc
            • Cst-enumeration-constant-conc
            • Cst-double-quote-conc-rep-elem
            • Cst-constant-expression-conc
            • Cst-constant-conc2-rep-elem
            • Cst-constant-conc1-rep-elem
            • Cst-compound-statement-conc
            • Cst-comment-conc2-rep-elem
            • Cst-comment-conc1-rep-elem
            • Cst-carriage-return-conc-rep-elem
            • Cst-carriage-return-conc-rep
            • Cst-block-item-conc2-rep
            • Cst-block-item-conc1-rep
            • Cst-vertical-tab-conc-rep
            • Cst-unsigned-suffix-conc
            • Cst-typedef-name-conc-rep
            • Cst-token-conc4-rep-elem
            • Cst-token-conc3-rep-elem
            • Cst-token-conc2-rep-elem
            • Cst-token-conc1-rep-elem
            • Cst-struct-declarator-conc
            • Cst-statement-conc6
            • Cst-statement-conc5
            • Cst-statement-conc4
            • Cst-statement-conc3
            • Cst-statement-conc2
            • Cst-statement-conc1
            • Cst-long-suffix-conc-rep-elem
            • Cst-long-suffix-conc-rep
            • Cst-line-feed-conc-rep-elem
            • Cst-line-comment-conc
            • Cst-lexeme-conc3-rep
            • Cst-lexeme-conc2-rep
            • Cst-lexeme-conc1-rep
            • Cst-horizontal-tab-conc-rep
            • Cst-horizontal-tab-conc
            • Cst-form-feed-conc-rep-elem
            • Cst-expression-conc-rep-elem
            • Cst-expression-conc-rep
            • Cst-enum-specifier-conc
            • Cst-double-quote-conc-rep
            • Cst-constant-conc2-rep
            • Cst-constant-conc2
            • Cst-constant-conc1-rep
            • Cst-constant-conc1
            • Cst-comment-conc2-rep
            • Cst-comment-conc2
            • Cst-comment-conc1-rep
            • Cst-comment-conc1
            • Cst-character-conc-rep-elem
            • Cst-carriage-return-conc
            • Cst-block-item-conc2
            • Cst-block-item-conc1
            • Cst-block-comment-conc
            • Cst-vertical-tab-conc
            • Cst-typedef-name-conc
            • Cst-type-name-conc
            • Cst-token-conc4-rep
            • Cst-token-conc4
            • Cst-token-conc3-rep
            • Cst-token-conc3
            • Cst-token-conc2-rep
            • Cst-token-conc2
            • Cst-token-conc1-rep
            • Cst-token-conc1
            • Cst-space-conc-rep-elem
            • Cst-new-line-conc
            • Cst-long-suffix-conc
            • Cst-line-feed-conc-rep
            • Cst-line-feed-conc
            • Cst-lexeme-conc3
            • Cst-lexeme-conc2
            • Cst-lexeme-conc1
            • Cst-form-feed-conc-rep
            • Cst-form-feed-conc
            • Cst-expression-conc
            • Cst-double-quote-conc
            • Cst-declarator-conc
            • Cst-declaration-conc
            • Cst-character-conc-rep
            • Cst-character-conc
            • Cst-space-conc-rep
            • Cst-space-conc
            • Cst-%xe-7f-nat
            • Cst-%xe-29-nat
            • Cst-%xb-c-nat
            • Cst-%x30-7f-nat
            • Cst-%x2b-7f-nat
            • Cst-%x2b-2e-nat
            • Cst-%x0-9-nat
            • Cst-%x0-7f-nat
          • Integer-formats
          • Types
          • Portable-ascii-identifiers
          • Values
          • Integer-operations
          • Computation-states
          • Object-designators
          • Operations
          • Errors
          • Tag-environments
          • Function-environments
          • Character-sets
          • Flexible-array-member-removal
          • Arithmetic-operations
          • Pointer-operations
          • Bytes
          • Keywords
          • Real-operations
          • Array-operations
          • Scalar-operations
          • Structure-operations
        • Representation
        • Transformation-tools
        • Insertion-sort
        • Pack
      • Farray
      • Rp-rewriter
      • Instant-runoff-voting
      • Imp-language
      • Sidekick
      • Leftist-trees
      • Java
      • Taspi
      • Bitcoin
      • Riscv
      • Des
      • Ethereum
      • X86isa
      • Sha-2
      • Yul
      • Zcash
      • Proof-checker-itp13
      • Regex
      • ACL2-programming-language
      • Json
      • Jfkr
      • Equational
      • Cryptography
      • Poseidon
      • Where-do-i-place-my-book
      • Axe
      • Bigmems
      • Builtins
      • Execloader
      • Aleo
      • Solidity
      • Paco
      • Concurrent-programs
      • Bls12-377-curves
    • Debugging
    • Std
    • Proof-automation
    • Macro-libraries
    • ACL2
    • Interfacing-tools
    • Hardware-verification
    • Software-verification
    • Math
    • Testing-utilities
  • Grammar

*grammar*

The grammar of C, in ACL2.

We use our verified grammar parser and our abstractor to turn the grammar in the grammar.abnf file into an ACL2 representation.

We use ACL2::add-const-to-untranslate-preprocess to keep this constant unexpanded in output.

We show that the grammar is well-formed, closed, and ASCII.

Definitions and Theorems

Function: untranslate-preprocess-*grammar*

(defun untranslate-preprocess-*grammar* (acl2::term acl2::wrld)
  (if (equal acl2::term (list 'quote *grammar*))
      '*grammar*
    (abnf::untranslate-preprocess-*grammar* acl2::term acl2::wrld)))

Theorem: rulelist-wfp-of-*grammar*

(defthm rulelist-wfp-of-*grammar*
  (abnf::rulelist-wfp *grammar*))

Theorem: rulelist-closedp-of-*grammar*

(defthm rulelist-closedp-of-*grammar*
  (abnf::rulelist-closedp *grammar*))

Theorem: ascii-only-*grammar*

(defthm ascii-only-*grammar*
  (abnf::rulelist-in-termset-p *grammar* (integers-from-to 0 127)))

Subtopics

*grammar*-tree-operations
Tree operations specialized to *grammar*.