def pcbc_rt.fcrypt

bend-osdev-crypto@0.1.0.0 · PROOF.bend:1577

import Base
import bend-osdev-legacy-ciphers@0.1.0.0/legacy_ciphers.bend as L
import bend-osdev-legacy-ciphers@0.1.0.0/fcrypt.bend as Fc
import bend-osdev-legacy-ciphers@0.1.0.0/LAWS.bend as LL
import bend-osdev-crypto@0.1.0.0/pcbc.bend as Pc
import bend-osdev-crypto@0.1.0.0/inst_lc.bend as LC

1577def pcbc_rt.fcrypt(+k: Fc.LcFcryptKey, bs: List<&2, L.LcBlock64>, +iv: L.LcBlock64) -> {bs == Pc.cr.pcbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, bs, iv), iv) : List<&2, L.LcBlock64>}:
1578  match bs:
1579    case Nil{}:
1580      {==}
1581    case Con{+p, t}:
1582      %Equal.sym(L.LcBlock64, Fc.LcFcrypt.decrypt(k, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))), LC.CrBlk64.xor(p, iv), LL.fcrypt_round_trip(k, LC.CrBlk64.xor(p, iv))) : {Con{p, t} == Con{LC.CrBlk64.xor(_, iv), Pc.cr.pcbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(LC.CrBlk64.xor(_, iv), Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
1583      %lcblock64_xx(p, iv) : {Con{p, t} == Con{_, Pc.cr.pcbc.dec(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.decrypt, ~LC.CrBlk64.xor, k, Pc.cr.pcbc.enc(~Fc.LcFcryptKey, ~L.LcBlock64, ~Fc.LcFcrypt.encrypt, ~LC.CrBlk64.xor, k, t, LC.CrBlk64.xor(p, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv)))), LC.CrBlk64.xor(_, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv))))} : List<&2, L.LcBlock64>}
1584      %pcbc_rt.fcrypt(k, t, LC.CrBlk64.xor(p, Fc.LcFcrypt.encrypt(k, LC.CrBlk64.xor(p, iv)))) : {Con{p, t} == Con{p, _} : List<&2, L.LcBlock64>}
1585      {==}