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Output-checking

Check-output-expression

Check an output expression.

Signature
(check-output-expression outexpr env) → type
Arguments: outexpr — Guard (output-expressionp outexpr).; env — Guard (senvp env).
Returns: type — Type (type-resultp type).

The expression must be a value expression. We type-check it in the initial (i.e. empty) static environment.

Definitions and Theorems

Function: check-output-expression

(defun check-output-expression (outexpr env)
  (declare (xargs :guard (and (output-expressionp outexpr)
                              (senvp env))))
  (let ((__function__ 'check-output-expression))
    (declare (ignorable __function__))
    (b* ((expr (output-expression->get outexpr))
         ((unless (expression-valuep expr))
          (reserrf (list :not-value-expression expr)))
         ((okf etype)
          (typecheck-expression expr env)))
      (expr-type->type etype))))

Theorem: type-resultp-of-check-output-expression

(defthm type-resultp-of-check-output-expression
  (b* ((type (check-output-expression outexpr env)))
    (type-resultp type))
  :rule-classes :rewrite)

Theorem: check-output-expression-of-output-expression-fix-outexpr

(defthm check-output-expression-of-output-expression-fix-outexpr
  (equal (check-output-expression (output-expression-fix outexpr)
                                  env)
         (check-output-expression outexpr env)))

Theorem: check-output-expression-output-expression-equiv-congruence-on-outexpr

(defthm
 check-output-expression-output-expression-equiv-congruence-on-outexpr
 (implies (output-expression-equiv outexpr outexpr-equiv)
          (equal (check-output-expression outexpr env)
                 (check-output-expression outexpr-equiv env)))
 :rule-classes :congruence)

Theorem: check-output-expression-of-senv-fix-env

(defthm check-output-expression-of-senv-fix-env
  (equal (check-output-expression outexpr (senv-fix env))
         (check-output-expression outexpr env)))

Theorem: check-output-expression-senv-equiv-congruence-on-env

(defthm check-output-expression-senv-equiv-congruence-on-env
  (implies (senv-equiv env env-equiv)
           (equal (check-output-expression outexpr env)
                  (check-output-expression outexpr env-equiv)))
  :rule-classes :congruence)