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Input-syntax-abstraction

Abs-input-expression

Abstract an input-expression to an input expression.

Signature
(abs-input-expression tree) → inexpr
Arguments: tree — Guard (abnf::treep tree).
Returns: inexpr — Type (input-expression-resultp inexpr).

Definitions and Theorems

Function: abs-input-expression

(defun abs-input-expression (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-input-expression))
    (declare (ignorable __function__))
    (b* (((okf tree)
          (abnf::check-tree-nonleaf-1-1 tree "input-expression"))
         ((okf expr) (abs-expression tree)))
      (input-expression expr))))

Theorem: input-expression-resultp-of-abs-input-expression

(defthm input-expression-resultp-of-abs-input-expression
  (b* ((inexpr (abs-input-expression tree)))
    (input-expression-resultp inexpr))
  :rule-classes :rewrite)

Theorem: abs-input-expression-of-tree-fix-tree

(defthm abs-input-expression-of-tree-fix-tree
  (equal (abs-input-expression (abnf::tree-fix tree))
         (abs-input-expression tree)))

Theorem: abs-input-expression-tree-equiv-congruence-on-tree

(defthm abs-input-expression-tree-equiv-congruence-on-tree
  (implies (abnf::tree-equiv tree tree-equiv)
           (equal (abs-input-expression tree)
                  (abs-input-expression tree-equiv)))
  :rule-classes :congruence)