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• Unicode-characters

Ascii=>string

Convert a Java ASCII character list to an ACL2 string.

Signature

(ascii=>string ascii) → string

Arguments

ascii — Guard (ascii-listp ascii).

Returns

string — Type (stringp string).

This is the inverse of string=>unicode for the ASCII subset of Unicode. It converts lists of ASCII codes to Java strings, using the library function nats=>string.

Definitions and Theorems

Function: ascii=>string

(defun ascii=>string (ascii)
  (declare (xargs :guard (ascii-listp ascii)))
  (let ((__function__ 'ascii=>string))
    (declare (ignorable __function__))
    (b* ((ascii (mbe :logic (ascii-list-fix ascii)
                     :exec ascii)))
      (nats=>string ascii))))

Theorem: stringp-of-ascii=>string

(defthm stringp-of-ascii=>string
  (b* ((string (ascii=>string ascii)))
    (stringp string))
  :rule-classes :rewrite)

Theorem: ascii=>string-of-string=>unicode

(defthm ascii=>string-of-string=>unicode
  (implies (ascii-listp (string=>unicode string))
           (equal (ascii=>string (string=>unicode string))
                  (str-fix string))))

Theorem: string=>unicode-of-ascii=>string

(defthm string=>unicode-of-ascii=>string
  (equal (string=>unicode (ascii=>string ascii))
         (ascii-list-fix ascii)))

Theorem: equal-of-ascii=>string-to-equal-of-string=>unicode

(defthm equal-of-ascii=>string-to-equal-of-string=>unicode
  (implies (and (ascii-listp x) (stringp y))
           (equal (equal (ascii=>string x) y)
                  (equal (string=>unicode y) x))))

Theorem: equal-of-string=>unicode-to-equal-of-ascii=>string

(defthm equal-of-string=>unicode-to-equal-of-ascii=>string
  (implies (and (ascii-listp x) (stringp y))
           (equal (equal (string=>unicode x) y)
                  (equal (ascii=>string y) x))))

Theorem: ascii=>string-of-ascii-list-fix-ascii

(defthm ascii=>string-of-ascii-list-fix-ascii
  (equal (ascii=>string (ascii-list-fix ascii))
         (ascii=>string ascii)))

Theorem: ascii=>string-ascii-list-equiv-congruence-on-ascii

(defthm ascii=>string-ascii-list-equiv-congruence-on-ascii
  (implies (ascii-list-equiv ascii ascii-equiv)
           (equal (ascii=>string ascii)
                  (ascii=>string ascii-equiv)))
  :rule-classes :congruence)