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• Grammar-parser-implementation

Parse-group

Parse a group.

Signature

(parse-group input) → (mv error? tree? rest-input)

Arguments

input — Guard (nat-listp input).

Returns

error? — Type (maybe-msgp error?).

tree? — Type (and (tree-optionp tree?) (implies (not error?) (treep tree?)) (implies error? (not tree?))) .

rest-input — Type (nat-listp rest-input).

The linear rules below are used in the guard verification proof.

Function: parse-group

(defun parse-group (input)
 (declare (xargs :guard (nat-listp input)))
 (seq
  input
  (tree-open-round := (parse-ichar #\( input))
  (trees-open-pad := (parse-*cwsp input))
  (tree-alt := (parse-alternation input))
  (trees-close-pad := (parse-*cwsp input))
  (tree-close-round := (parse-ichar #\) input))
  (return
   (make-tree-nonleaf :rulename? *group*
                      :branches (list (list tree-open-round)
                                      trees-open-pad (list tree-alt)
                                      trees-close-pad
                                      (list tree-close-round))))))

Theorem: len-of-parse-group-linear-1

(defthm len-of-parse-group-linear-1
  (<= (len (mv-nth 2 (parse-group input)))
      (len input))
  :rule-classes :linear)

Theorem: len-of-parse-group-linear-2

(defthm len-of-parse-group-linear-2
  (implies (not (mv-nth 0 (parse-group input)))
           (< (len (mv-nth 2 (parse-group input)))
              (len input)))
  :rule-classes :linear)