• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Set
      • Soft
      • C
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
        • Transformations
        • Language
          • Abstract-syntax
          • Dynamic-semantics
            • Exec
            • Find-fun
            • Init-local
            • Write-vars-values
            • Add-vars-values
            • Add-funs
            • Eoutcome
            • Soutcome
            • Ensure-funscope-disjoint
            • Write-var-value
            • Restrict-vars
            • Add-var-value
            • Funinfo
            • Exec-top-block
            • Values
            • Cstate
            • Funinfo+funenv
            • Read-vars-values
            • Read-var-value
            • Funenv
            • Funscope-for-fundefs
            • Exec-path
            • Path-to-var
            • Funinfo+funenv-result
            • Exec-literal
            • Soutcome-result
            • Mode-set-result
            • Literal-evaluation
            • Funscope-result
            • Funinfo-result
            • Funenv-result
            • Eoutcome-result
            • Cstate-result
            • Paths-to-vars
            • Funinfo-for-fundef
            • Lstate
            • Funscope
            • Mode-set
            • Modes
          • Concrete-syntax
          • Static-soundness
          • Static-semantics
          • Errors
        • Yul-json
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Cryptography
      • Number-theory
      • Lists-light
      • Axe
      • Builtins
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• Dynamic-semantics

Add-var-value

Add a variable with a value to the computation state.

Signature

(add-var-value var val cstate) → new-cstate

Arguments

var — Guard (identifierp var).

val — Guard (valuep val).

cstate — Guard (cstatep cstate).

Returns

new-cstate — Type (cstate-resultp new-cstate).

An error is returned if the variable already exists.

Definitions and Theorems

Function: add-var-value

(defun add-var-value (var val cstate)
 (declare (xargs :guard (and (identifierp var)
                             (valuep val)
                             (cstatep cstate))))
 (let ((__function__ 'add-var-value))
  (declare (ignorable __function__))
  (b*
   ((lstate (cstate->local cstate))
    (var-val (omap::assoc (identifier-fix var)
                          lstate))
    ((when (consp var-val))
     (reserrf (list :variable-already-exists (identifier-fix var))))
    (new-lstate (omap::update (identifier-fix var)
                              (value-fix val)
                              lstate))
    (new-cstate (change-cstate cstate
                               :local new-lstate)))
   new-cstate)))

Theorem: cstate-resultp-of-add-var-value

(defthm cstate-resultp-of-add-var-value
  (b* ((new-cstate (add-var-value var val cstate)))
    (cstate-resultp new-cstate))
  :rule-classes :rewrite)

Theorem: error-info-wfp-of-add-var-value

(defthm error-info-wfp-of-add-var-value
  (b* ((?new-cstate (add-var-value var val cstate)))
    (implies (reserrp new-cstate)
             (error-info-wfp new-cstate))))

Theorem: add-var-value-of-identifier-fix-var

(defthm add-var-value-of-identifier-fix-var
  (equal (add-var-value (identifier-fix var)
                        val cstate)
         (add-var-value var val cstate)))

Theorem: add-var-value-identifier-equiv-congruence-on-var

(defthm add-var-value-identifier-equiv-congruence-on-var
  (implies (identifier-equiv var var-equiv)
           (equal (add-var-value var val cstate)
                  (add-var-value var-equiv val cstate)))
  :rule-classes :congruence)

Theorem: add-var-value-of-value-fix-val

(defthm add-var-value-of-value-fix-val
  (equal (add-var-value var (value-fix val)
                        cstate)
         (add-var-value var val cstate)))

Theorem: add-var-value-value-equiv-congruence-on-val

(defthm add-var-value-value-equiv-congruence-on-val
  (implies (value-equiv val val-equiv)
           (equal (add-var-value var val cstate)
                  (add-var-value var val-equiv cstate)))
  :rule-classes :congruence)

Theorem: add-var-value-of-cstate-fix-cstate

(defthm add-var-value-of-cstate-fix-cstate
  (equal (add-var-value var val (cstate-fix cstate))
         (add-var-value var val cstate)))

Theorem: add-var-value-cstate-equiv-congruence-on-cstate

(defthm add-var-value-cstate-equiv-congruence-on-cstate
  (implies (cstate-equiv cstate cstate-equiv)
           (equal (add-var-value var val cstate)
                  (add-var-value var val cstate-equiv)))
  :rule-classes :congruence)