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Syntax-abstraction

Abs-system

Abstract a system CST to a system AST.

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

Definitions and Theorems

Function: abs-system

(defun abs-system (tree)
  (declare (xargs :guard (abnf::treep tree)))
  (let ((__function__ 'abs-system))
    (declare (ignorable __function__))
    (b* (((okf (abnf::tree-list-tuple2 sub))
          (check-tree-nonleaf-2 tree "system"))
         ((okf defs) (abs-*-definition sub.1st))
         ((okf constraints)
          (abs-*-constraint sub.2nd)))
      (make-system :definitions defs
                   :constraints constraints))))

Theorem: system-resultp-of-abs-system

(defthm system-resultp-of-abs-system
  (b* ((sys (abs-system tree)))
    (system-resultp sys))
  :rule-classes :rewrite)

Theorem: abs-system-of-tree-fix-tree

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

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

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