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Value-expressions

Expression-valuep

Check if an expression is an expression value.

Signature
(expression-valuep expr) → yes/no
Arguments: expr — Guard (expressionp expr).
Returns: yes/no — Type (booleanp yes/no).

This means that the expression is one of the following:

A literal.
A unary expression with - as operator and a signed literal as operand.
A unit expression.
A tuple expressions whose components are value expressions.
A struct expression whose components contain value expressions.

Theorem: return-type-of-expression-valuep.yes/no

(defthm return-type-of-expression-valuep.yes/no
  (b* ((?yes/no (expression-valuep expr)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: return-type-of-expression-list-valuep.yes/no

(defthm return-type-of-expression-list-valuep.yes/no
  (b* ((?yes/no (expression-list-valuep exprs)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: return-type-of-struct-init-valuep.yes/no

(defthm return-type-of-struct-init-valuep.yes/no
  (b* ((?yes/no (struct-init-valuep cinit)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: return-type-of-struct-init-list-valuep.yes/no

(defthm return-type-of-struct-init-list-valuep.yes/no
  (b* ((?yes/no (struct-init-list-valuep cinits)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: expression-valuep-of-expression-fix-expr

(defthm expression-valuep-of-expression-fix-expr
  (equal (expression-valuep (expression-fix expr))
         (expression-valuep expr)))

Theorem: expression-list-valuep-of-expression-list-fix-exprs

(defthm expression-list-valuep-of-expression-list-fix-exprs
  (equal (expression-list-valuep (expression-list-fix exprs))
         (expression-list-valuep exprs)))

Theorem: struct-init-valuep-of-struct-init-fix-cinit

(defthm struct-init-valuep-of-struct-init-fix-cinit
  (equal (struct-init-valuep (struct-init-fix cinit))
         (struct-init-valuep cinit)))

Theorem: struct-init-list-valuep-of-struct-init-list-fix-cinits

(defthm struct-init-list-valuep-of-struct-init-list-fix-cinits
  (equal (struct-init-list-valuep (struct-init-list-fix cinits))
         (struct-init-list-valuep cinits)))

Theorem: expression-valuep-expression-equiv-congruence-on-expr

(defthm expression-valuep-expression-equiv-congruence-on-expr
  (implies (expression-equiv expr expr-equiv)
           (equal (expression-valuep expr)
                  (expression-valuep expr-equiv)))
  :rule-classes :congruence)

Theorem: expression-list-valuep-expression-list-equiv-congruence-on-exprs

(defthm
   expression-list-valuep-expression-list-equiv-congruence-on-exprs
  (implies (expression-list-equiv exprs exprs-equiv)
           (equal (expression-list-valuep exprs)
                  (expression-list-valuep exprs-equiv)))
  :rule-classes :congruence)

Theorem: struct-init-valuep-struct-init-equiv-congruence-on-cinit

(defthm struct-init-valuep-struct-init-equiv-congruence-on-cinit
  (implies (struct-init-equiv cinit cinit-equiv)
           (equal (struct-init-valuep cinit)
                  (struct-init-valuep cinit-equiv)))
  :rule-classes :congruence)

Theorem: struct-init-list-valuep-struct-init-list-equiv-congruence-on-cinits

(defthm
 struct-init-list-valuep-struct-init-list-equiv-congruence-on-cinits
 (implies (struct-init-list-equiv cinits cinits-equiv)
          (equal (struct-init-list-valuep cinits)
                 (struct-init-list-valuep cinits-equiv)))
 :rule-classes :congruence)

Subtopics

Struct-init-valuep
Struct-init-list-valuep
Expression-list-valuep