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• Parser

Parse-*-comma-identifier

Parse a *( "," identifier ).

Signature

(parse-*-comma-identifier token input) 
  → 
(mv trees next-token rest-input)

Arguments

token — Guard (abnf::tree-optionp token).

input — Guard (abnf::tree-listp input).

Returns

trees — Type (abnf::tree-list-resultp trees).

next-token — Type (abnf::tree-optionp next-token).

rest-input — Type (abnf::tree-listp rest-input).

Definitions and Theorems

Function: parse-*-comma-identifier

(defun parse-*-comma-identifier (token input)
  (declare (xargs :guard (and (abnf::tree-optionp token)
                              (abnf::tree-listp input))))
  (let ((__function__ 'parse-*-comma-identifier))
    (declare (ignorable __function__))
    (b* (((unless (token-stringp "," token))
          (mv nil (abnf::tree-option-fix token)
              (abnf::tree-list-fix input)))
         (start-token token)
         (start-input input)
         ((pok< tree1)
          (parse-separator "," token input))
         (token1 token)
         (input1 input)
         ((mv tree2 token input)
          (parse-identifier token input)))
      (if (reserrp tree2)
          (mv nil (abnf::tree-option-fix start-token)
              (abnf::tree-list-fix start-input))
        (b* ((tree (abnf::make-tree-nonleaf
                        :rulename? nil
                        :branches (list (list tree1) (list tree2))))
             ((unless (mbt (< (parsize token input)
                              (parsize token1 input1))))
              (mv (reserrf :impossible)
                  token1 input1))
             ((pok trees)
              (parse-*-comma-identifier token input)))
          (mv (cons tree trees) token input))))))

Theorem: tree-list-resultp-of-parse-*-comma-identifier.trees

(defthm tree-list-resultp-of-parse-*-comma-identifier.trees
  (b* (((mv ?trees ?next-token ?rest-input)
        (parse-*-comma-identifier token input)))
    (abnf::tree-list-resultp trees))
  :rule-classes :rewrite)

Theorem: tree-optionp-of-parse-*-comma-identifier.next-token

(defthm tree-optionp-of-parse-*-comma-identifier.next-token
  (b* (((mv ?trees ?next-token ?rest-input)
        (parse-*-comma-identifier token input)))
    (abnf::tree-optionp next-token))
  :rule-classes :rewrite)

Theorem: tree-listp-of-parse-*-comma-identifier.rest-input

(defthm tree-listp-of-parse-*-comma-identifier.rest-input
  (b* (((mv ?trees ?next-token ?rest-input)
        (parse-*-comma-identifier token input)))
    (abnf::tree-listp rest-input))
  :rule-classes :rewrite)

Theorem: parsize-of-parse-*-comma-identifier-<=

(defthm parsize-of-parse-*-comma-identifier-<=
  (b* (((mv ?trees ?next-token ?rest-input)
        (parse-*-comma-identifier token input)))
    (<= (parsize next-token rest-input)
        (parsize token input)))
  :rule-classes :linear)

Theorem: parse-*-comma-identifier-of-tree-option-fix-token

(defthm parse-*-comma-identifier-of-tree-option-fix-token
  (equal (parse-*-comma-identifier (abnf::tree-option-fix token)
                                   input)
         (parse-*-comma-identifier token input)))

Theorem: parse-*-comma-identifier-tree-option-equiv-congruence-on-token

(defthm
     parse-*-comma-identifier-tree-option-equiv-congruence-on-token
  (implies (abnf::tree-option-equiv token token-equiv)
           (equal (parse-*-comma-identifier token input)
                  (parse-*-comma-identifier token-equiv input)))
  :rule-classes :congruence)

Theorem: parse-*-comma-identifier-of-tree-list-fix-input

(defthm parse-*-comma-identifier-of-tree-list-fix-input
 (equal (parse-*-comma-identifier token (abnf::tree-list-fix input))
        (parse-*-comma-identifier token input)))

Theorem: parse-*-comma-identifier-tree-list-equiv-congruence-on-input

(defthm parse-*-comma-identifier-tree-list-equiv-congruence-on-input
  (implies (abnf::tree-list-equiv input input-equiv)
           (equal (parse-*-comma-identifier token input)
                  (parse-*-comma-identifier token input-equiv)))
  :rule-classes :congruence)