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    • Execution

    Exec-literal

    Execute a literal expression.

    Signature
    (exec-literal lit env) → evalue+denv
    Arguments
    lit — Guard (literalp lit).
    env — Guard (denvp env).
    Returns
    evalue+denv — Type (evalue+denv-resultp evalue+denv).

    We evaluate the literal, propagating errors. The resulting expression value is a value, not a location. The environment is unchanged.

    Definitions and Theorems

    Function: exec-literal

    (defun exec-literal (lit env)
      (declare (xargs :guard (and (literalp lit) (denvp env))))
      (let ((__function__ 'exec-literal))
        (declare (ignorable __function__))
        (b* ((val (eval-literal lit (denv->curve env)))
             ((unless val)
              (reserrf (list :eval-literal-failed (literal-fix lit))))
             (eval (expr-value-value val)))
          (make-evalue+denv :evalue eval
                            :denv (denv-fix env)))))

    Theorem: evalue+denv-resultp-of-exec-literal

    (defthm evalue+denv-resultp-of-exec-literal
      (b* ((evalue+denv (exec-literal lit env)))
        (evalue+denv-resultp evalue+denv))
      :rule-classes :rewrite)

    Theorem: exec-literal-of-literal-fix-lit

    (defthm exec-literal-of-literal-fix-lit
      (equal (exec-literal (literal-fix lit) env)
             (exec-literal lit env)))

    Theorem: exec-literal-literal-equiv-congruence-on-lit

    (defthm exec-literal-literal-equiv-congruence-on-lit
      (implies (literal-equiv lit lit-equiv)
               (equal (exec-literal lit env)
                      (exec-literal lit-equiv env)))
      :rule-classes :congruence)

    Theorem: exec-literal-of-denv-fix-env

    (defthm exec-literal-of-denv-fix-env
      (equal (exec-literal lit (denv-fix env))
             (exec-literal lit env)))

    Theorem: exec-literal-denv-equiv-congruence-on-env

    (defthm exec-literal-denv-equiv-congruence-on-env
      (implies (denv-equiv env env-equiv)
               (equal (exec-literal lit env)
                      (exec-literal lit env-equiv)))
      :rule-classes :congruence)