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• Fresh-ident-utility

Fresh-numbered-string-wrt

Signature

(fresh-numbered-string-wrt base number-prefix 
                           number number-suffix blacklist) 
 
  → 
string

Arguments

base — Guard (stringp base).

number-prefix — Guard (stringp number-prefix).

number — Guard (natp number).

number-suffix — Guard (stringp number-suffix).

blacklist — Guard (acl2::string-setp blacklist).

Returns

string — Type (stringp string).

Definitions and Theorems

Function: fresh-numbered-string-wrt0

(defun fresh-numbered-string-wrt0
       (base number-prefix
             number number-suffix blacklist steps)
 (declare (type (unsigned-byte 60) steps))
 (declare (xargs :guard (and (stringp base)
                             (stringp number-prefix)
                             (natp number)
                             (stringp number-suffix)
                             (acl2::string-setp blacklist))))
 (let ((__function__ 'fresh-numbered-string-wrt0))
  (declare (ignorable __function__))
  (b*
   (((when (eql 0
                (mbe :logic (nfix steps)
                     :exec (acl2::the-fixnat steps))))
     (mbe :logic (if (stringp base) base "")
          :exec base))
    (numbered-string
         (make-numbered-string base
                               number-prefix number number-suffix)))
   (if
    (in numbered-string blacklist)
    (fresh-numbered-string-wrt0 base number-prefix (+ number 1)
                                number-suffix blacklist (- steps 1))
    numbered-string))))

Theorem: stringp-of-fresh-numbered-string-wrt0

(defthm stringp-of-fresh-numbered-string-wrt0
  (b* ((string (fresh-numbered-string-wrt0
                    base number-prefix
                    number number-suffix blacklist steps)))
    (stringp string))
  :rule-classes :rewrite)

Function: fresh-numbered-string-wrt

(defun fresh-numbered-string-wrt
       (base number-prefix
             number number-suffix blacklist)
  (declare (xargs :guard (and (stringp base)
                              (stringp number-prefix)
                              (natp number)
                              (stringp number-suffix)
                              (acl2::string-setp blacklist))))
  (let ((__function__ 'fresh-numbered-string-wrt))
    (declare (ignorable __function__))
    (fresh-numbered-string-wrt0
         base number-prefix
         number number-suffix blacklist
         (acl2::the-fixnat (- (expt 2 acl2::*fixnat-bits*) 1)))))

Theorem: stringp-of-fresh-numbered-string-wrt

(defthm stringp-of-fresh-numbered-string-wrt
 (b*
  ((string
        (fresh-numbered-string-wrt base number-prefix
                                   number number-suffix blacklist)))
  (stringp string))
 :rule-classes :rewrite)