• 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
      • Moddb
      • Svmods
      • Svstmt
      • Sv-tutorial
      • Expressions
        • Rewriting
        • Svex
        • Bit-blasting
          • A4vec-operations
          • Svex-focused-equivalence-checking
          • Svexlist-eval-gl
          • Aig-symbolic-arithmetic
          • Svex-varmasks/env->aig-env-rec
          • Svex-varmasks->a4env-rec
          • Svexlist/env-list-eval-gl
          • 4vmask-to-a4vec-rec-env
          • 4vmask-to-a4vec-rec
          • Svexlist->a4vecs-for-varlist
          • Svex-varmasks/env->aig-env-stats-rec
          • Svexlist->a4vec-nrev
          • A4veclist/svex-env-list-eval
          • A4vec
          • Svexlist-x-out-unused-vars
          • Svex->a4vec-memotable-correctp
          • A4vec/svex-env-eval
          • Svex-varmasks->a4env
          • Svex-varmasks/env->aig-env-rec-log
          • 4vmask-to-a4vec-env
          • 4veclist-from-bitlist-log-rec
          • Svex-apply-aig
          • Svexlist-vars-for-symbolic-eval
          • Nat-bool-a4env-upper-boundp
          • 4vmask-to-a4vec
          • Svexlist/env-list-vars-for-symbolic-eval
          • Svex-maskbits-for-vars
          • Svexlist->a4vec-aig-env-for-varlist
          • 4vec-from-bitlist
          • Svexlist-full-masks-p
          • Svex-varmasks/env->aig-env-stats
          • Svex-varmasks/env->aig-env
          • Svexlistlist->a4vec
          • Svex-const-concat-args
          • Svex-mask-alist-extract-vars
          • Svexlist->a4vec-top
          • Nat-bool-a4vec-upper-boundp
          • Nat-bool-a4env-lower-boundp
          • Maybe-a3vec-fix
          • Svex-maskbits-ok
          • Svex-envlist-check-boolmasks
          • Svex-env-check-boolmasks
          • Nat-bool-list-upper-boundp
          • Nat-bool-a4vec-lower-boundp
          • Maybe-svexlist-rewrite-fixpoint
          • 4vmask-to-a4vec-varcount
          • A4vec-eval
          • Svexlist-nth
          • A4veclist-nth
          • Nat-bool-list-lower-boundp
          • 4veclist-from-bitlist
          • V2i-first-n
          • A4veclist-eval-gl
          • Svex-envlist-keyset
          • Svex-a4vec-env-eval
          • A4veclist/env-list-eval
          • Svexlist-variable-mask-alist
          • Sparseint-nfix
          • A4veclist-length
          • A4veclist-eval
          • 4vec-boolmaskp
          • Nat-bool-list-nats
          • Nat-bool-a4env-p
          • Nat-bool-listp
          • A4veclist->aiglist
          • Svexlist-rewrite-fixpoint-memo
          • Nat-bool-a4vec-p
          • A4vec->aiglist
          • Svex-is-const-concat
          • Nat-bool-a4env-vars
          • Svexlist-mask-alist-memo
          • Nat-bool-a4vec-vars
          • Svexlist-vars-memo
          • A4vec-constantp
          • Svex-aig-memotable
          • Svex-a4vec-env
          • A4veclistlist
          • A4veclist
          • Symbolic-params-x-out-cond
        • Functions
        • 4vmask
        • Why-infinite-width
        • Svex-vars
        • Evaluation
        • Values
      • Symbolic-test-vector
      • Vl-to-svex
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Bit-blasting

Svex-varmasks/env->aig-env-stats-rec

Signature

(svex-varmasks/env->aig-env-stats-rec vars masks boolmasks nextvar) 
  → 
(mv err new-nextvar)

Arguments

vars — Guard (svarlist-p vars).

masks — Guard (svex-mask-alist-p masks).

boolmasks — Guard (svar-boolmasks-p boolmasks).

nextvar — Guard (natp nextvar).

Returns

new-nextvar — Type (natp new-nextvar).

Definitions and Theorems

Function: svex-varmasks/env->aig-env-stats-rec

(defun svex-varmasks/env->aig-env-stats-rec
       (vars masks boolmasks nextvar)
 (declare (xargs :guard (and (svarlist-p vars)
                             (svex-mask-alist-p masks)
                             (svar-boolmasks-p boolmasks)
                             (natp nextvar))))
 (let ((__function__ 'svex-varmasks/env->aig-env-stats-rec))
  (declare (ignorable __function__))
  (b* (((when (atom vars))
        (mv nil (lnfix nextvar)))
       (mask (svex-mask-lookup (svex-var (car vars))
                               masks))
       ((when (sparseint-< mask 0))
        (mv (msg "Negative mask: ~x0~%"
                 (svar-fix (car vars)))
            (lnfix nextvar)))
       (boolmask (svar-boolmasks-lookup (car vars)
                                        boolmasks))
       (nextvar (+ (lnfix nextvar)
                   (4vmask-to-a4vec-varcount mask boolmask))))
   (svex-varmasks/env->aig-env-stats-rec (cdr vars)
                                         masks boolmasks nextvar))))

Theorem: natp-of-svex-varmasks/env->aig-env-stats-rec.new-nextvar

(defthm natp-of-svex-varmasks/env->aig-env-stats-rec.new-nextvar
  (b* (((mv ?err ?new-nextvar)
        (svex-varmasks/env->aig-env-stats-rec
             vars masks boolmasks nextvar)))
    (natp new-nextvar))
  :rule-classes :rewrite)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svarlist-fix-vars

(defthm svex-varmasks/env->aig-env-stats-rec-of-svarlist-fix-vars
 (equal
      (svex-varmasks/env->aig-env-stats-rec (svarlist-fix vars)
                                            masks boolmasks nextvar)
      (svex-varmasks/env->aig-env-stats-rec
           vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svarlist-equiv-congruence-on-vars

(defthm
 svex-varmasks/env->aig-env-stats-rec-svarlist-equiv-congruence-on-vars
 (implies (svarlist-equiv vars vars-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars-equiv masks boolmasks nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svex-mask-alist-fix-masks

(defthm
  svex-varmasks/env->aig-env-stats-rec-of-svex-mask-alist-fix-masks
  (equal (svex-varmasks/env->aig-env-stats-rec
              vars (svex-mask-alist-fix masks)
              boolmasks nextvar)
         (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svex-mask-alist-equiv-congruence-on-masks

(defthm
 svex-varmasks/env->aig-env-stats-rec-svex-mask-alist-equiv-congruence-on-masks
 (implies (svex-mask-alist-equiv masks masks-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks-equiv boolmasks nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-svar-boolmasks-fix-boolmasks

(defthm
 svex-varmasks/env->aig-env-stats-rec-of-svar-boolmasks-fix-boolmasks
 (equal (svex-varmasks/env->aig-env-stats-rec
             vars
             masks (svar-boolmasks-fix boolmasks)
             nextvar)
        (svex-varmasks/env->aig-env-stats-rec
             vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-svar-boolmasks-equiv-congruence-on-boolmasks

(defthm
 svex-varmasks/env->aig-env-stats-rec-svar-boolmasks-equiv-congruence-on-boolmasks
 (implies (svar-boolmasks-equiv boolmasks boolmasks-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks-equiv nextvar)))
 :rule-classes :congruence)

Theorem: svex-varmasks/env->aig-env-stats-rec-of-nfix-nextvar

(defthm svex-varmasks/env->aig-env-stats-rec-of-nfix-nextvar
  (equal (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks (nfix nextvar))
         (svex-varmasks/env->aig-env-stats-rec
              vars masks boolmasks nextvar)))

Theorem: svex-varmasks/env->aig-env-stats-rec-nat-equiv-congruence-on-nextvar

(defthm
 svex-varmasks/env->aig-env-stats-rec-nat-equiv-congruence-on-nextvar
 (implies (nat-equiv nextvar nextvar-equiv)
          (equal (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar)
                 (svex-varmasks/env->aig-env-stats-rec
                      vars masks boolmasks nextvar-equiv)))
 :rule-classes :congruence)