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Abstract-syntax-operations

Declor/dirdeclor-has-params-p

Check if a declarator or direct declarator contains function parameters or names.

The names of these two mutually recursive functions only mention params (instead of something like params/names) for brevity, also since names are also function parameters.

Definitions and Theorems

Function: declor-has-params-p

(defun declor-has-params-p (declor)
  (declare (xargs :guard (declorp declor)))
  (b* (((declor declor) declor))
    (dirdeclor-has-params-p declor.direct)))

Function: dirdeclor-has-params-p

(defun dirdeclor-has-params-p (dirdeclor)
  (declare (xargs :guard (dirdeclorp dirdeclor)))
  (dirdeclor-case
       dirdeclor
       :ident nil
       :paren (declor-has-params-p dirdeclor.inner)
       :array (dirdeclor-has-params-p dirdeclor.declor)
       :array-static1 (dirdeclor-has-params-p dirdeclor.declor)
       :array-static2 (dirdeclor-has-params-p dirdeclor.declor)
       :array-star (dirdeclor-has-params-p dirdeclor.declor)
       :function-params t
       :function-names t))

Theorem: return-type-of-declor-has-params-p.yes/no

(defthm return-type-of-declor-has-params-p.yes/no
  (b* ((?yes/no (declor-has-params-p declor)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: return-type-of-dirdeclor-has-params-p.yes/no

(defthm return-type-of-dirdeclor-has-params-p.yes/no
  (b* ((?yes/no (dirdeclor-has-params-p dirdeclor)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: declor-has-params-p-of-declor-fix-declor

(defthm declor-has-params-p-of-declor-fix-declor
  (equal (declor-has-params-p (declor-fix declor))
         (declor-has-params-p declor)))

Theorem: dirdeclor-has-params-p-of-dirdeclor-fix-dirdeclor

(defthm dirdeclor-has-params-p-of-dirdeclor-fix-dirdeclor
  (equal (dirdeclor-has-params-p (dirdeclor-fix dirdeclor))
         (dirdeclor-has-params-p dirdeclor)))

Theorem: declor-has-params-p-declor-equiv-congruence-on-declor

(defthm declor-has-params-p-declor-equiv-congruence-on-declor
  (implies (declor-equiv declor declor-equiv)
           (equal (declor-has-params-p declor)
                  (declor-has-params-p declor-equiv)))
  :rule-classes :congruence)

Theorem: dirdeclor-has-params-p-dirdeclor-equiv-congruence-on-dirdeclor

(defthm
     dirdeclor-has-params-p-dirdeclor-equiv-congruence-on-dirdeclor
  (implies (dirdeclor-equiv dirdeclor dirdeclor-equiv)
           (equal (dirdeclor-has-params-p dirdeclor)
                  (dirdeclor-has-params-p dirdeclor-equiv)))
  :rule-classes :congruence)

Subtopics

Dirdeclor-has-params-p: Check if a direct declarator contains function parameters/names.
Declor-has-params-p: Check if a declarator contains function parameters/names.