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    • Abstract-syntax-operations

    Expr-postfix/primary-p

    Check if an expression is postfix or primary.

    Signature
    (expr-postfix/primary-p expr) → yes/no
    Arguments
    expr — Guard (exprp expr).
    Returns
    yes/no — Type (booleanp yes/no).

    According to the grammar definition, postfix expressions include primary expressions; the grammar defines expressions hierarchically. So this test, performed on abstract syntax, is equivalent to testing whether the expression is a postfix one according to the grammar.

    Definitions and Theorems

    Function: expr-postfix/primary-p

    (defun expr-postfix/primary-p (expr)
      (declare (xargs :guard (exprp expr)))
      (and (member-eq (expr-kind expr)
                      '(:ident :const :string
                               :paren :gensel
                               :arrsub :funcall
                               :member :memberp
                               :complit :stmt
                               :tycompat :offsetof
                               :va-arg :extension))
           t))

    Theorem: booleanp-of-expr-postfix/primary-p

    (defthm booleanp-of-expr-postfix/primary-p
      (b* ((yes/no (expr-postfix/primary-p expr)))
        (booleanp yes/no))
      :rule-classes :rewrite)

    Theorem: expr-postfix/primary-p-of-expr-fix-expr

    (defthm expr-postfix/primary-p-of-expr-fix-expr
      (equal (expr-postfix/primary-p (expr-fix expr))
             (expr-postfix/primary-p expr)))

    Theorem: expr-postfix/primary-p-expr-equiv-congruence-on-expr

    (defthm expr-postfix/primary-p-expr-equiv-congruence-on-expr
      (implies (expr-equiv expr expr-equiv)
               (equal (expr-postfix/primary-p expr)
                      (expr-postfix/primary-p expr-equiv)))
      :rule-classes :congruence)