• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
    • Sv
      • Svex-stvs
      • Svex-decomposition-methodology
      • Sv-versus-esim
      • Svex-decomp
      • Svex-compose-dfs
      • Svex-compilation
        • Alias-normalization
          • Alias-norm.lisp
            • Lhs-alias-canonicalize-replace-top
            • Aliases-bound-fix
            • Lhs-pairs-set-aliases
            • Setalias
            • Lhs-replace-range
            • Lhatom-bound-fix
            • Constraintlist-subst-from-svexarr
            • Aliases-add-pair
            • Lhs-alias-canonicalize-top
            • Lhs-varbound-fix
            • Aliases-bound-fix-aux
            • Canonicalize-alias-pairs
            • Aliases-finish-canonicalize
            • Assigns-subst
            • Aliases-put-pairs
            • Getalias
            • Lhs-alias-norm
            • Constraintlist-subst-from-svexarr-nrev
            • Assigns-subst-nrev
            • Svex-subst-from-svexarr-memo-ok
            • Collect-aliases
            • Aliases-fix
            • Aliases-empty
        • Svex-design-flatten-and-normalize
        • Svex-design-compile
        • Svex-composition
        • Compile.lisp
        • Assign->segment-drivers
        • Segment-driver-map-resolve
        • Assigns->segment-drivers
      • Moddb
      • Svmods
      • Svstmt
      • Sv-tutorial
      • Expressions
      • Symbolic-test-vector
      • Vl-to-svex
    • Fgl
    • Vwsim
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Alias-norm.lisp

Assigns-subst

Signature

(assigns-subst x aliases svexarr) → xx

Arguments

x — Guard (assigns-p x).

Returns

xx — Type (assigns-p xx).

Definitions and Theorems

Function: assigns-subst

(defun assigns-subst (x aliases svexarr)
 (declare (xargs :stobjs (aliases svexarr)))
 (declare (xargs :guard (assigns-p x)))
 (declare
    (xargs :guard (and (svarlist-boundedp (assigns-vars x)
                                          (aliass-length aliases))
                       (svarlist-boundedp (assigns-vars x)
                                          (svexs-length svexarr)))))
 (let ((__function__ 'assigns-subst))
  (declare (ignorable __function__))
  (mbe
   :logic
   (b* ((x (assigns-fix x))
        ((when (atom x)) nil)
        ((cons lhs (driver rhs)) (car x))
        (lhs (lhs-alias-norm lhs aliases))
        (val (svex-subst-from-svexarr rhs.value svexarr)))
     (cons (cons lhs (change-driver rhs :value val))
           (assigns-subst (cdr x)
                          aliases svexarr)))
   :exec
   (if (atom x)
       nil
    (with-local-stobj
     nrev
     (mv-let (ans nrev)
             (b* ((nrev (assigns-subst-nrev x aliases svexarr nrev))
                  ((mv ans nrev)
                   (acl2::nrev-finish nrev)))
               (mv ans nrev))
       ans))))))

Theorem: assigns-p-of-assigns-subst

(defthm assigns-p-of-assigns-subst
  (b* ((xx (assigns-subst x aliases svexarr)))
    (assigns-p xx))
  :rule-classes :rewrite)

Theorem: assigns-subst-of-assigns-fix-x

(defthm assigns-subst-of-assigns-fix-x
  (equal (assigns-subst (assigns-fix x)
                        aliases svexarr)
         (assigns-subst x aliases svexarr)))

Theorem: assigns-subst-assigns-equiv-congruence-on-x

(defthm assigns-subst-assigns-equiv-congruence-on-x
  (implies (assigns-equiv x x-equiv)
           (equal (assigns-subst x aliases svexarr)
                  (assigns-subst x-equiv aliases svexarr)))
  :rule-classes :congruence)

Theorem: assigns-subst-of-lhslist-fix-aliases

(defthm assigns-subst-of-lhslist-fix-aliases
  (equal (assigns-subst x (lhslist-fix aliases)
                        svexarr)
         (assigns-subst x aliases svexarr)))

Theorem: assigns-subst-lhslist-equiv-congruence-on-aliases

(defthm assigns-subst-lhslist-equiv-congruence-on-aliases
  (implies (lhslist-equiv aliases aliases-equiv)
           (equal (assigns-subst x aliases svexarr)
                  (assigns-subst x aliases-equiv svexarr)))
  :rule-classes :congruence)

Theorem: svarlist-addr-p-of-assigns-subst

(defthm svarlist-addr-p-of-assigns-subst
  (implies (and (svarlist-addr-p (svexarr-vars svexarr))
                (svarlist-addr-p (aliases-vars aliases)))
           (svarlist-addr-p
                (assigns-vars (assigns-subst x aliases svexarr)))))