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• Fresh-ident-utility

Fresh-idents

Signature

(fresh-idents idents 
              blacklist &key (force-suffix 'nil) 
              (number-prefix '"_") 
              (number-suffix '"")) 
 
  → 
idents$

Arguments

idents — Guard (ident-listp idents).

blacklist — Guard (ident-setp blacklist).

force-suffix — Guard (booleanp force-suffix).

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

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

Returns

idents$ — Type (ident-listp idents$).

Definitions and Theorems

Function: fresh-idents-fn

(defun fresh-idents-fn (idents blacklist force-suffix
                               number-prefix number-suffix)
  (declare (xargs :guard (and (ident-listp idents)
                              (ident-setp blacklist)
                              (booleanp force-suffix)
                              (stringp number-prefix)
                              (stringp number-suffix))))
  (b* ((idents (c$::ident-list-fix idents))
       (blacklist (ident-set-fix blacklist))
       (force-suffix (mbe :logic (acl2::bool-fix force-suffix)
                          :exec force-suffix))
       (number-prefix (mbe :logic (acl2::str-fix number-prefix)
                           :exec number-prefix))
       (number-suffix (mbe :logic (acl2::str-fix number-suffix)
                           :exec number-suffix))
       ((when (endp idents)) nil)
       (ident$ (fresh-ident (first idents)
                            blacklist
                            :force-suffix force-suffix
                            :number-prefix number-prefix
                            :number-suffix number-suffix)))
    (cons ident$
          (fresh-idents (rest idents)
                        (insert ident$ blacklist)
                        :force-suffix force-suffix
                        :number-prefix number-prefix
                        :number-suffix number-suffix))))

Theorem: ident-listp-of-fresh-idents

(defthm ident-listp-of-fresh-idents
  (b* ((idents$ (fresh-idents-fn idents blacklist force-suffix
                                 number-prefix number-suffix)))
    (ident-listp idents$))
  :rule-classes :rewrite)

Theorem: fresh-idents-fn-of-ident-list-fix-idents

(defthm fresh-idents-fn-of-ident-list-fix-idents
  (equal (fresh-idents-fn (c$::ident-list-fix idents)
                          blacklist force-suffix
                          number-prefix number-suffix)
         (fresh-idents-fn idents blacklist force-suffix
                          number-prefix number-suffix)))

Theorem: fresh-idents-fn-ident-list-equiv-congruence-on-idents

(defthm fresh-idents-fn-ident-list-equiv-congruence-on-idents
  (implies
       (c$::ident-list-equiv idents idents-equiv)
       (equal (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix)
              (fresh-idents-fn idents-equiv blacklist force-suffix
                               number-prefix number-suffix)))
  :rule-classes :congruence)

Theorem: fresh-idents-fn-of-ident-set-fix-blacklist

(defthm fresh-idents-fn-of-ident-set-fix-blacklist
  (equal (fresh-idents-fn idents (ident-set-fix blacklist)
                          force-suffix
                          number-prefix number-suffix)
         (fresh-idents-fn idents blacklist force-suffix
                          number-prefix number-suffix)))

Theorem: fresh-idents-fn-ident-set-equiv-congruence-on-blacklist

(defthm fresh-idents-fn-ident-set-equiv-congruence-on-blacklist
  (implies
       (c$::ident-set-equiv blacklist blacklist-equiv)
       (equal (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix)
              (fresh-idents-fn idents blacklist-equiv force-suffix
                               number-prefix number-suffix)))
  :rule-classes :congruence)

Theorem: fresh-idents-fn-of-bool-fix-force-suffix

(defthm fresh-idents-fn-of-bool-fix-force-suffix
  (equal (fresh-idents-fn idents
                          blacklist (acl2::bool-fix force-suffix)
                          number-prefix number-suffix)
         (fresh-idents-fn idents blacklist force-suffix
                          number-prefix number-suffix)))

Theorem: fresh-idents-fn-iff-congruence-on-force-suffix

(defthm fresh-idents-fn-iff-congruence-on-force-suffix
  (implies
       (iff force-suffix force-suffix-equiv)
       (equal (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix)
              (fresh-idents-fn idents blacklist force-suffix-equiv
                               number-prefix number-suffix)))
  :rule-classes :congruence)

Theorem: fresh-idents-fn-of-str-fix-number-prefix

(defthm fresh-idents-fn-of-str-fix-number-prefix
  (equal (fresh-idents-fn idents blacklist force-suffix
                          (acl2::str-fix number-prefix)
                          number-suffix)
         (fresh-idents-fn idents blacklist force-suffix
                          number-prefix number-suffix)))

Theorem: fresh-idents-fn-streqv-congruence-on-number-prefix

(defthm fresh-idents-fn-streqv-congruence-on-number-prefix
  (implies
       (acl2::streqv number-prefix number-prefix-equiv)
       (equal (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix)
              (fresh-idents-fn idents blacklist force-suffix
                               number-prefix-equiv number-suffix)))
  :rule-classes :congruence)

Theorem: fresh-idents-fn-of-str-fix-number-suffix

(defthm fresh-idents-fn-of-str-fix-number-suffix
  (equal (fresh-idents-fn idents
                          blacklist force-suffix number-prefix
                          (acl2::str-fix number-suffix))
         (fresh-idents-fn idents blacklist force-suffix
                          number-prefix number-suffix)))

Theorem: fresh-idents-fn-streqv-congruence-on-number-suffix

(defthm fresh-idents-fn-streqv-congruence-on-number-suffix
  (implies
       (acl2::streqv number-suffix number-suffix-equiv)
       (equal (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix)
              (fresh-idents-fn idents blacklist force-suffix
                               number-prefix number-suffix-equiv)))
  :rule-classes :congruence)