		Search-engine friendly clone of the ACL2 documentation.

Plexeme

Plexemep

Recognizer for plexeme structures.

Signature
(plexemep x) → *

Definitions and Theorems

Function: plexemep

(defun plexemep (x)
  (declare (xargs :guard t))
  (and (consp x)
       (cond ((or (atom x) (eq (car x) :header))
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((name (std::da-nth 0 (cdr x))))
                     (header-namep name))))
             ((eq (car x) :ident)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((ident (std::da-nth 0 (cdr x))))
                     (identp ident))))
             ((eq (car x) :number)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((number (std::da-nth 0 (cdr x))))
                     (pnumberp number))))
             ((eq (car x) :char)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((const (std::da-nth 0 (cdr x))))
                     (cconstp const))))
             ((eq (car x) :string)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((literal (std::da-nth 0 (cdr x))))
                     (stringlitp literal))))
             ((eq (car x) :punctuator)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((punctuator (std::da-nth 0 (cdr x))))
                     (stringp punctuator))))
             ((eq (car x) :other)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((char (std::da-nth 0 (cdr x))))
                     (natp char))))
             ((eq (car x) :block-comment)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((content (std::da-nth 0 (cdr x))))
                     (nat-listp content))))
             ((eq (car x) :line-comment)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((content (std::da-nth 0 (cdr x))))
                     (nat-listp content))))
             ((eq (car x) :newline)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((chars (std::da-nth 0 (cdr x))))
                     (newlinep chars))))
             ((eq (car x) :spaces)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 1)
                   (b* ((count (std::da-nth 0 (cdr x))))
                     (posp count))))
             ((eq (car x) :horizontal-tab)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             ((eq (car x) :vertical-tab)
              (and (true-listp (cdr x))
                   (eql (len (cdr x)) 0)
                   (b* nil t)))
             (t (and (eq (car x) :form-feed)
                     (and (true-listp (cdr x))
                          (eql (len (cdr x)) 0))
                     (b* nil t))))))

Theorem: consp-when-plexemep

(defthm consp-when-plexemep
  (implies (plexemep x) (consp x))
  :rule-classes :compound-recognizer)