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• Parser

Parse-definition

Parse a definition.

Signature

(parse-definition token input) 
  → 
(mv tree next-token rest-input)

Arguments

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

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

Returns

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

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

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

Definitions and Theorems

Function: parse-definition

(defun parse-definition (token input)
 (declare (xargs :guard (and (abnf::tree-optionp token)
                             (abnf::tree-listp input))))
 (let ((__function__ 'parse-definition))
  (declare (ignorable __function__))
  (b*
   (((pok tree1)
     (parse-identifier token input))
    ((pok tree2)
     (parse-separator "(" token input))
    ((pok tree3)
     (if (token-stringp ")" token)
         (mv (abnf::make-tree-nonleaf :rulename? nil
                                      :branches nil)
             token input)
      (b* (((pok< tree)
            (parse-identifier token input))
           ((pok trees)
            (parse-*-comma-identifier token input)))
       (mv
        (abnf::make-tree-nonleaf :rulename? nil
                                 :branches (list (list tree) trees))
        token input))))
    ((pok tree4)
     (parse-separator ")" token input))
    ((pok tree5)
     (parse-operator ":=" token input))
    ((pok tree6)
     (parse-separator "{" token input))
    ((pok tree7)
     (if (token-stringp "}" token)
         (mv (abnf::make-tree-nonleaf :rulename? nil
                                      :branches nil)
             token input)
      (b* (((pok< tree)
            (parse-constraint token input))
           ((pok trees)
            (parse-*-comma-constraint token input)))
       (mv
        (abnf::make-tree-nonleaf :rulename? nil
                                 :branches (list (list tree) trees))
        token input))))
    ((pok tree8)
     (parse-separator "}" token input)))
   (mv (abnf::make-tree-nonleaf
            :rulename? (abnf::rulename "definition")
            :branches (list (list tree1)
                            (list tree2)
                            (list tree3)
                            (list tree4)
                            (list tree5)
                            (list tree6)
                            (list tree7)
                            (list tree8)))
       token input))))

Theorem: tree-resultp-of-parse-definition.tree

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

Theorem: tree-optionp-of-parse-definition.next-token

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

Theorem: tree-listp-of-parse-definition.rest-input

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

Theorem: parsize-of-parse-definition-<=

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

Theorem: parsize-of-parse-definition-<

(defthm parsize-of-parse-definition-<
  (b* (((mv ?tree ?next-token ?rest-input)
        (parse-definition token input)))
    (implies (not (reserrp tree))
             (< (parsize next-token rest-input)
                (parsize token input))))
  :rule-classes :linear)

Theorem: parse-definition-of-tree-option-fix-token

(defthm parse-definition-of-tree-option-fix-token
  (equal (parse-definition (abnf::tree-option-fix token)
                           input)
         (parse-definition token input)))

Theorem: parse-definition-tree-option-equiv-congruence-on-token

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

Theorem: parse-definition-of-tree-list-fix-input

(defthm parse-definition-of-tree-list-fix-input
  (equal (parse-definition token (abnf::tree-list-fix input))
         (parse-definition token input)))

Theorem: parse-definition-tree-list-equiv-congruence-on-input

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