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• Grammar-parser-implementation

Parse-repetition

Parse a repetition.

Signature

(parse-repetition 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-repetition

(defun parse-repetition (input)
 (declare (xargs :guard (nat-listp input)))
 (seq
    input
    (tree-repeat := (parse-?repeat input))
    (tree-element := (parse-element input))
    (return
         (make-tree-nonleaf :rulename? *repetition*
                            :branches (list (list tree-repeat)
                                            (list tree-element))))))

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

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

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

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