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• Binary

Bin-digit-char-listp

Recognize lists of binary digit characters.

Signature

(bin-digit-char-listp x) → std::bool

Unlike bin-digit-char-list*p, this requires true list (i.e. nil-terminated.

Since there are functions in std/strings that operate on bin-digit-char-list*p, we provide a bridge theorem between the two recognizers, which we can use to satisfy the guards of those functions.

Definitions and Theorems

Function: bin-digit-char-listp

(defun bin-digit-char-listp (x)
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'bin-digit-char-listp))
    (declare (ignorable acl2::__function__))
    (if (consp x)
        (and (bin-digit-char-p (car x))
             (bin-digit-char-listp (cdr x)))
      (null x))))

Theorem: bin-digit-char-list*p-when-bin-digit-char-listp

(defthm bin-digit-char-list*p-when-bin-digit-char-listp
  (implies (bin-digit-char-listp x)
           (bin-digit-char-list*p x)))

Subtopics

Bin-digit-char-listp-basics

Basic theorems about bin-digit-char-listp, generated by std::deflist.

Bin-digit-char-listp-results

Theorems about results of std/strings functions that return lists of binary digit characters.