proofs/crypto/secp256k1/laws.bend

bend-collections-laws-crypto@1.0.0.0 · 38 lines · 3 definitions

1import Base
2import bend-collections-laws-crypto@1.0.0.0/src/crypto/secp256k1.bend as K
3import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/ecdsa.bend as ES
4import bend-collections-laws-crypto@1.0.0.0/spec/crypto/secp256k1/schnorr.bend as SS
5
6# The clauses of src/crypto/secp256k1.bend: every function is its
7# specification (spec/crypto/secp256k1/, over the natural numbers, from
8# SEC 1 v2, SEC 2, RFC 6979, BIP-340 and the Ethereum yellow paper) for
9# every input (any byte lists, any Bool). The specification takes `one`,
10# the number 1 kept symbolic (h1: one == 1), so that its 256-bit constants
11# p, n and G are never expanded by the checker; every clause holds for the
12# one `one` there is.
13#
14# The clauses are in five files, each proved by its own root (so that
15# each root checks alone): laws.bend (keys and addresses, proof.bend),
16# laws_sign.bend (proof_sign.bend), laws_verify.bend (proof_verify.bend),
17# laws_recover.bend (proof_recover.bend) and laws_schnorr.bend
18# (proof_schnorr.bend). This file: proof.bend.
19
20# the SEC 1 public key (33 bytes compressed, 65 uncompressed) of [d] G
21law PublicKey.correct:
22  for +one: Nat
23  for +h1: {one == 1n : Nat}
24  for +sk: List<&2, U32>
25  for c: Bool
26  {K.public_key(sk, c) == ES.public_key(one, sk, c) : Maybe<&2, List<&2, U32>>}
27
28# a key pair from a 32-byte seed: the seed and its compressed public key
29law GenerateKeypair.correct:
30  for +one: Nat
31  for +h1: {one == 1n : Nat}
32  for +seed: List<&2, U32>
33  {K.generate_keypair(seed) == K.keypair_of(seed, ES.public_key(one, seed, True{})) : Maybe<&2, K.Keypair>}
34
35# the Ethereum address of an uncompressed public key
36law EthAddress.correct:
37  for +pk: List<&2, U32>
38  {K.eth_address(pk) == ES.eth_address(pk) : Maybe<&2, List<&2, U32>>}