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• Transactions

Rlp-transaction-encoding-p

Check if a byte array is an RLP encoding of a transaction.

This is a declarative, non-executable definition, which essentially characterizes the image of rlp-encode-transaction (over transaction that can be encoded, i.e. such that rlp-encode-transaction returns a nil error flag).

By definition, the witness function is right inverse of the encoding function, over the valid encodings.

Definitions and Theorems

Theorem: rlp-transaction-encoding-p-suff

(defthm rlp-transaction-encoding-p-suff
  (implies (and (transactionp transaction)
                (b* (((mv error? encoding1)
                      (rlp-encode-transaction transaction)))
                  (and (not error?)
                       (equal encoding1 (byte-list-fix encoding)))))
           (rlp-transaction-encoding-p encoding)))

Theorem: booleanp-of-rlp-transaction-encoding-p

(defthm booleanp-of-rlp-transaction-encoding-p
  (b* ((yes/no (rlp-transaction-encoding-p encoding)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: rlp-transaction-encoding-p-of-byte-list-fix-encoding

(defthm rlp-transaction-encoding-p-of-byte-list-fix-encoding
  (equal (rlp-transaction-encoding-p (byte-list-fix encoding))
         (rlp-transaction-encoding-p encoding)))

Theorem: rlp-transaction-encoding-p-byte-list-equiv-congruence-on-encoding

(defthm
  rlp-transaction-encoding-p-byte-list-equiv-congruence-on-encoding
  (implies (byte-list-equiv encoding encoding-equiv)
           (equal (rlp-transaction-encoding-p encoding)
                  (rlp-transaction-encoding-p encoding-equiv)))
  :rule-classes :congruence)

Theorem: rlp-transactionp-of-rlp-transaction-encoding-witness

(defthm rlp-transactionp-of-rlp-transaction-encoding-witness
  (implies
       (rlp-transaction-encoding-p encoding)
       (transactionp (rlp-transaction-encoding-witness encoding))))

Theorem: rlp-encode-transaction-of-rlp-transaction-encoding-witness

(defthm rlp-encode-transaction-of-rlp-transaction-encoding-witness
  (implies (rlp-transaction-encoding-p encoding)
           (b* (((mv error? encoding1)
                 (rlp-encode-transaction
                      (rlp-transaction-encoding-witness encoding))))
             (and (not error?)
                  (equal encoding1 (byte-list-fix encoding))))))

Theorem: rlp-transaction-encoding-p-of-rlp-transaction-encode-when-no-error

(defthm
 rlp-transaction-encoding-p-of-rlp-transaction-encode-when-no-error
 (implies (not (mv-nth 0 (rlp-encode-transaction transaction)))
          (rlp-transaction-encoding-p
               (mv-nth 1
                       (rlp-encode-transaction transaction)))))