• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Debugging
  • Projects
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
    • Kestrel-books
      • Crypto-hdwallet
      • Apt
      • Error-checking
      • Abnf
      • Fty-extensions
      • Isar
      • Kestrel-utilities
      • Soft
      • Bv
      • Imp-language
      • Event-macros
      • C
      • Java
      • Bitcoin
      • Ethereum
        • Mmp-trees
          • Mmp-encode-n/c
          • Mmp-encode-c-max
          • Mmp-encode
          • Mmp-write
          • Mmp-decode
          • Mmp-encode-u-map
          • Nibblelist-bytelist-map-sup-len-key
          • Mmp-encode-c-forall
          • Mmp-read
          • Mmp-encoding-p
          • Bytelist-to-nibblelist-keys
            • Bytelist-to-nibblelist-keys-aux
          • Mmp-encode-c-exists
          • Bytelist-bytelist-map
          • Nibblelist-bytelist-map
        • Semaphore
        • Database
        • Cryptography
        • Rlp
        • Transactions
        • Hex-prefix
        • Basics
        • Addresses
      • 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

• Mmp-trees

Bytelist-to-nibblelist-keys

Turn (i) a finite map from byte arrays to byte arrays into (ii) a finite map from nibble arrays to byte arrays.

Signature

(bytelist-to-nibblelist-keys map) → map1

Arguments

map — Guard (bytelist-bytelist-mapp map).

Returns

map1 — Type (nibblelist-bytelist-mapp map1).

This corresponds to y [YP:(190), YP:(191)].

Definitions and Theorems

Function: bytelist-to-nibblelist-keys-aux

(defun bytelist-to-nibblelist-keys-aux (bytes)
  (declare (xargs :guard (byte-listp bytes)))
  (b* (((when (endp bytes)) nil)
       (byte (byte-fix (car bytes)))
       (nibble-hi (floor byte 16))
       (nibble-lo (mod byte 16))
       (nibbles (bytelist-to-nibblelist-keys-aux (cdr bytes))))
    (list* nibble-hi nibble-lo nibbles)))

Theorem: nibble-listp-of-bytelist-to-nibblelist-keys-aux

(defthm nibble-listp-of-bytelist-to-nibblelist-keys-aux
  (b* ((nibbles (bytelist-to-nibblelist-keys-aux bytes)))
    (nibble-listp nibbles))
  :rule-classes :rewrite)

Theorem: bytelist-to-nibblelist-keys-aux-of-byte-list-fix-bytes

(defthm bytelist-to-nibblelist-keys-aux-of-byte-list-fix-bytes
  (equal (bytelist-to-nibblelist-keys-aux (byte-list-fix bytes))
         (bytelist-to-nibblelist-keys-aux bytes)))

Theorem: bytelist-to-nibblelist-keys-aux-byte-list-equiv-congruence-on-bytes

(defthm
 bytelist-to-nibblelist-keys-aux-byte-list-equiv-congruence-on-bytes
 (implies (byte-list-equiv bytes bytes-equiv)
          (equal (bytelist-to-nibblelist-keys-aux bytes)
                 (bytelist-to-nibblelist-keys-aux bytes-equiv)))
 :rule-classes :congruence)

Function: bytelist-to-nibblelist-keys

(defun bytelist-to-nibblelist-keys (map)
  (declare (xargs :guard (bytelist-bytelist-mapp map)))
  (b* (((unless (mbt (bytelist-bytelist-mapp map)))
        nil)
       ((when (omap::emptyp map)) nil)
       ((mv key val) (omap::head map))
       (key (byte-list-fix key))
       (val (byte-list-fix val))
       (key1 (bytelist-to-nibblelist-keys-aux key))
       (map1 (bytelist-to-nibblelist-keys (omap::tail map))))
    (omap::update key1 val map1)))

Theorem: nibblelist-bytelist-mapp-of-bytelist-to-nibblelist-keys

(defthm nibblelist-bytelist-mapp-of-bytelist-to-nibblelist-keys
  (b* ((map1 (bytelist-to-nibblelist-keys map)))
    (nibblelist-bytelist-mapp map1))
  :rule-classes :rewrite)

Theorem: bytelist-to-nibblelist-keys-of-bytelist-bytelist-mfix-map

(defthm bytelist-to-nibblelist-keys-of-bytelist-bytelist-mfix-map
  (equal (bytelist-to-nibblelist-keys (bytelist-bytelist-mfix map))
         (bytelist-to-nibblelist-keys map)))

Theorem: bytelist-to-nibblelist-keys-bytelist-bytelist-mequiv-congruence-on-map

(defthm
 bytelist-to-nibblelist-keys-bytelist-bytelist-mequiv-congruence-on-map
 (implies (bytelist-bytelist-mequiv map map-equiv)
          (equal (bytelist-to-nibblelist-keys map)
                 (bytelist-to-nibblelist-keys map-equiv)))
 :rule-classes :congruence)

Subtopics

Bytelist-to-nibblelist-keys-aux

Turn a sequence of bytes into a sequence of nibbles.