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• Grammar-parser-implementation

Parse-conc-rest-comp

Parse a group (1*c-wsp repetition), which is a component of the rest of the definiens of concatenation.

Signature

(parse-conc-rest-comp 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-conc-rest-comp

(defun parse-conc-rest-comp (input)
 (declare (xargs :guard (nat-listp input)))
 (seq
   input (trees := (parse-1*cwsp input))
   (tree := (parse-repetition input))
   (return (make-tree-nonleaf :rulename? nil
                              :branches (list trees (list tree))))))

Theorem: len-of-parse-conc-rest-comp-linear-1

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

Theorem: len-of-parse-conc-rest-comp-linear-2

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