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Parse-alt-rest

Parse a repetition *(*c-wsp "/" *c-wsp concatenation), which is the rest of the definiens of alternation.

Signature

(parse-alt-rest input) → (mv error? trees rest-input)

Arguments

input — Guard (nat-listp input).

Returns

error? — Type (not error?).

trees — Type (tree-listp trees).

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

The linear rule below is used in the guard verification proof.

Function: parse-alt-rest

(defun parse-alt-rest (input)
  (declare (xargs :guard (nat-listp input)))
  (seq-backtrack input
                 ((tree :s= (parse-alt-rest-comp input))
                  (trees := (parse-alt-rest input))
                  (return (cons tree trees)))
                 ((return-raw (mv nil nil (nat-list-fix input))))))

Theorem: len-of-parse-alt-rest-linear-1

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