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Syntax-abstraction

Abs-expression

Abstract an expression to an expression.

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

Definitions and Theorems

Function: abs-expression

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

Theorem: expression-resultp-of-abs-expression

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

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

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

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

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