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• Unicode-characters

Ascii-list

Fixtype of lists of ASCII characters.

Values of this type model Java strings (at a more essential and abstract level than instances of the class java.lang.String) that consist of only ASCII characters.

Theorem: ascii-listp-forward-unsigned-byte-listp

(defthm ascii-listp-forward-unsigned-byte-listp
  (implies (ascii-listp x)
           (unsigned-byte-listp 7 x))
  :rule-classes :forward-chaining)

Theorem: ascii-listp-rewrite-unsigned-byte-listp

(defthm ascii-listp-rewrite-unsigned-byte-listp
  (equal (ascii-listp x)
         (unsigned-byte-listp 7 x)))

Theorem: unsigned-byte-listp-rewrite-ascii-listp

(defthm unsigned-byte-listp-rewrite-ascii-listp
  (equal (unsigned-byte-listp 7 x)
         (ascii-listp x)))

Theorem: true-listp-when-ascii-listp-rewrite

(defthm true-listp-when-ascii-listp-rewrite
  (implies (ascii-listp x)
           (true-listp x)))

Theorem: ascii-list-fix-of-take

(defthm ascii-list-fix-of-take
  (implies (<= (nfix n) (len x))
           (equal (ascii-list-fix (take n x))
                  (take n (ascii-list-fix x)))))

Theorem: ascii-list-fix-of-rcons

(defthm ascii-list-fix-of-rcons
  (equal (ascii-list-fix (rcons a x))
         (rcons (ascii-fix a)
                (ascii-list-fix x))))

Theorem: unicode-listp-when-ascii-listp

(defthm unicode-listp-when-ascii-listp
  (implies (ascii-listp x)
           (unicode-listp x)))

Subtopics

Ascii-list-fix

(ascii-list-fix x) is a usual ACL2::fty list fixing function.

Ascii-list-equiv

Basic equivalence relation for ascii-list structures.

Ascii-listp

(ascii-listp x) recognizes lists where every element satisfies asciip.