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Lexer

Lex-whitespace

Lex rule whitespace = 1*whitespace-char.

Signature
(lex-whitespace input) → (mv tree rest-input)
Arguments: input — Guard (nat-listp input).
Returns: tree — Type (abnf::tree-resultp tree).; rest-input — Type (nat-listp rest-input).

Definitions and Theorems

Function: lex-whitespace

(defun lex-whitespace (input)
  (declare (xargs :guard (nat-listp input)))
  (let ((__function__ 'lex-whitespace))
    (declare (ignorable __function__))
    (b* (((mv tree-1char input-after-1char)
          (lex-whitespace-char input))
         ((when (reserrp tree-1char))
          (mv (reserrf "whitespace problem")
              (acl2::nat-list-fix input)))
         ((mv trees-restchars input-after-restchars)
          (lex-repetition-*-whitespace-char input-after-1char))
         ((when (reserrp trees-restchars))
          (mv (reserrf "whitespace problem")
              (acl2::nat-list-fix input))))
      (mv (abnf::make-tree-nonleaf
               :rulename? (abnf::rulename "whitespace")
               :branches (list (cons tree-1char trees-restchars)))
          input-after-restchars))))

Theorem: tree-resultp-of-lex-whitespace.tree

(defthm tree-resultp-of-lex-whitespace.tree
  (b* (((mv ?tree ?rest-input)
        (lex-whitespace input)))
    (abnf::tree-resultp tree))
  :rule-classes :rewrite)

Theorem: nat-listp-of-lex-whitespace.rest-input

(defthm nat-listp-of-lex-whitespace.rest-input
  (b* (((mv ?tree ?rest-input)
        (lex-whitespace input)))
    (nat-listp rest-input))
  :rule-classes :rewrite)

Theorem: len-of-lex-whitespace-<

(defthm len-of-lex-whitespace-<
  (b* (((mv ?tree ?rest-input)
        (lex-whitespace input)))
    (implies (not (reserrp tree))
             (< (len rest-input) (len input))))
  :rule-classes :linear)

Theorem: lex-whitespace-of-nat-list-fix-input

(defthm lex-whitespace-of-nat-list-fix-input
  (equal (lex-whitespace (acl2::nat-list-fix input))
         (lex-whitespace input)))

Theorem: lex-whitespace-nat-list-equiv-congruence-on-input

(defthm lex-whitespace-nat-list-equiv-congruence-on-input
  (implies (acl2::nat-list-equiv input input-equiv)
           (equal (lex-whitespace input)
                  (lex-whitespace input-equiv)))
  :rule-classes :congruence)