• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
    • Apt
    • Zfc
    • Acre
    • Milawa
    • Smtlink
    • Abnf
    • Vwsim
    • Isar
    • Wp-gen
    • Dimacs-reader
    • Pfcs
    • Legacy-defrstobj
    • Proof-checker-array
    • Soft
    • C
    • Farray
    • Rp-rewriter
    • Instant-runoff-voting
    • Imp-language
    • Sidekick
    • Leftist-trees
    • Java
    • Taspi
    • Bitcoin
    • Riscv
    • Des
    • Ethereum
    • X86isa
    • Sha-2
    • Yul
    • Zcash
    • Proof-checker-itp13
    • Regex
    • ACL2-programming-language
    • Json
    • Jfkr
    • Equational
    • Cryptography
    • Poseidon
    • Where-do-i-place-my-book
    • Axe
    • Bigmems
    • Builtins
    • Execloader
    • Aleo
      • Aleobft
        • Aleobft-static
        • Aleobft-stake2
        • Aleobft-dynamic
        • Aleobft-stake
        • Aleobft-proposals
          • Correctness
          • Definition
            • Initialization
            • Transitions
            • States
              • Committees
              • System-states
              • Certificates
              • Transactions
                • Transaction
                  • Transaction-fix
                  • Transaction-case
                  • Transaction-equiv
                  • Transactionp
                  • Transaction-bond
                  • Transaction-unbond
                  • Transaction-other
                  • Transaction-kind
                • Transaction-list
              • Proposals
              • Messages
              • Validator-states
              • Blocks
              • Addresses
            • Events
            • Reachability
        • Library-extensions
      • Leo
    • Solidity
    • Paco
    • Concurrent-programs
    • Bls12-377-curves
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
  • Software-verification
  • Math
  • Testing-utilities

• Transaction

Transaction-fix

Fixing function for transaction structures.

Signature

(transaction-fix x) → new-x

Arguments

x — Guard (transactionp x).

Returns

new-x — Type (transactionp new-x).

Definitions and Theorems

Function: transaction-fix$inline

(defun transaction-fix$inline (x)
 (declare (xargs :guard (transactionp x)))
 (let ((__function__ 'transaction-fix))
  (declare (ignorable __function__))
  (mbe
   :logic
   (case (transaction-kind x)
    (:bond (b* ((validator (address-fix (std::da-nth 0 (cdr x))))
                (stake (pos-fix (std::da-nth 1 (cdr x)))))
             (cons :bond (list validator stake))))
    (:unbond (b* ((validator (address-fix (std::da-nth 0 (cdr x)))))
               (cons :unbond (list validator))))
    (:other (b* ((unwrap (identity (std::da-nth 0 (cdr x)))))
              (cons :other (list unwrap)))))
   :exec x)))

Theorem: transactionp-of-transaction-fix

(defthm transactionp-of-transaction-fix
  (b* ((new-x (transaction-fix$inline x)))
    (transactionp new-x))
  :rule-classes :rewrite)

Theorem: transaction-fix-when-transactionp

(defthm transaction-fix-when-transactionp
  (implies (transactionp x)
           (equal (transaction-fix x) x)))

Function: transaction-equiv$inline

(defun transaction-equiv$inline (acl2::x acl2::y)
  (declare (xargs :guard (and (transactionp acl2::x)
                              (transactionp acl2::y))))
  (equal (transaction-fix acl2::x)
         (transaction-fix acl2::y)))

Theorem: transaction-equiv-is-an-equivalence

(defthm transaction-equiv-is-an-equivalence
  (and (booleanp (transaction-equiv x y))
       (transaction-equiv x x)
       (implies (transaction-equiv x y)
                (transaction-equiv y x))
       (implies (and (transaction-equiv x y)
                     (transaction-equiv y z))
                (transaction-equiv x z)))
  :rule-classes (:equivalence))

Theorem: transaction-equiv-implies-equal-transaction-fix-1

(defthm transaction-equiv-implies-equal-transaction-fix-1
  (implies (transaction-equiv acl2::x x-equiv)
           (equal (transaction-fix acl2::x)
                  (transaction-fix x-equiv)))
  :rule-classes (:congruence))

Theorem: transaction-fix-under-transaction-equiv

(defthm transaction-fix-under-transaction-equiv
  (transaction-equiv (transaction-fix acl2::x)
                     acl2::x)
  :rule-classes (:rewrite :rewrite-quoted-constant))

Theorem: equal-of-transaction-fix-1-forward-to-transaction-equiv

(defthm equal-of-transaction-fix-1-forward-to-transaction-equiv
  (implies (equal (transaction-fix acl2::x)
                  acl2::y)
           (transaction-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: equal-of-transaction-fix-2-forward-to-transaction-equiv

(defthm equal-of-transaction-fix-2-forward-to-transaction-equiv
  (implies (equal acl2::x (transaction-fix acl2::y))
           (transaction-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: transaction-equiv-of-transaction-fix-1-forward

(defthm transaction-equiv-of-transaction-fix-1-forward
  (implies (transaction-equiv (transaction-fix acl2::x)
                              acl2::y)
           (transaction-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: transaction-equiv-of-transaction-fix-2-forward

(defthm transaction-equiv-of-transaction-fix-2-forward
  (implies (transaction-equiv acl2::x (transaction-fix acl2::y))
           (transaction-equiv acl2::x acl2::y))
  :rule-classes :forward-chaining)

Theorem: transaction-kind$inline-of-transaction-fix-x

(defthm transaction-kind$inline-of-transaction-fix-x
  (equal (transaction-kind$inline (transaction-fix x))
         (transaction-kind$inline x)))

Theorem: transaction-kind$inline-transaction-equiv-congruence-on-x

(defthm transaction-kind$inline-transaction-equiv-congruence-on-x
  (implies (transaction-equiv x x-equiv)
           (equal (transaction-kind$inline x)
                  (transaction-kind$inline x-equiv)))
  :rule-classes :congruence)

Theorem: consp-of-transaction-fix

(defthm consp-of-transaction-fix
  (consp (transaction-fix x))
  :rule-classes :type-prescription)