• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • C
        • Syntax-for-tools
        • Atc
        • Language
        • Representation
        • Transformation-tools
          • Simpadd0
          • Deftrans
          • Splitgso
          • Constant-propagation
          • Split-fn
          • Copy-fn
          • Specialize
          • Split-all-gso
          • Rename
          • Utilities
            • Call-graphs
            • Free-vars
            • Fresh-ident-utility
              • Fresh-numbered-string-wrt
              • Fresh-numbered-string-wrt0
              • Transunit-ensemble-fresh-ident
              • Fresh-idents
              • Fresh-string-wrt
              • Fresh-ident
              • Make-numbered-string
              • Map-ident->unwrap
            • Collect-idents
        • Pack
      • Bv
      • Imp-language
      • Event-macros
      • Java
      • Bitcoin
      • Ethereum
      • Yul
      • Zcash
      • ACL2-programming-language
      • Prime-fields
      • Json
      • Syntheto
      • File-io-light
      • Number-theory
      • Cryptography
      • Lists-light
      • Builtins
      • Axe
      • Solidity
      • Helpers
      • Htclient
      • Typed-lists-light
      • Arithmetic-light
    • X86isa
    • Axe
    • Execloader
  • Math
  • Testing-utilities

• 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)