Proof Assistant Projects
Collection
Digesting proof assistant libraries for AI ingestion. • 103 items • Updated • 3
statement stringlengths 1 746 | proof stringlengths 0 19.5k | type stringclasses 7
values | symbolic_name stringlengths 1 36 | library stringclasses 13
values | filename stringclasses 70
values | imports listlengths 0 23 | deps listlengths 0 14 | docstring stringclasses 1
value | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
Node | = { message : WorkBlock, state : State }
// Some encryption schemes process multiple blocks at once | type | Node | examples | examples/AE.cry | [] | [
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
WorkBlock | = [p*n] | type | WorkBlock | examples | examples/AE.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
State | = [p*n] // The state for `p` blocks | type | State | examples | examples/AE.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Tweak | = { nonce : Nonce, state : A, z : Int } | type | Tweak | examples | examples/AE.cry | [] | [
"Int"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nonce | = [n]
/*
property
// The tweak in the `i`th query to the tweak_cipher
tweak_prop i { nonce = n, state = a, z = v } =
{ nonce = n, state = a, z = v + i - 1 }
// Property of decrypt
Dec_prop : Tweak -> Node -> Bit
Dec_prop t { message = m, state = x } =
Dec t { message = c, state = x }... | type | Nonce | examples | examples/AE.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Int | = [64] | type | Int | examples | examples/AE.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
encrypt :
{m} fin m => K -> Nonce -> A -> [m * (p * n)] -> [m * (p * n) + tagAmount] | encrypt key nonce state inputMsg = encMsg # tag
where
encMsg = join rest.0.message
tag = take (Tag key (tweak (1 - final.1)) final.0.state)
final = steps ! 0
steps = [ ({ message = undefined, state = zero }, 1) ] # rest
rest = [ (Enc key (tweak v) { message = m, state = prev.state }, v + Cost)
... | function | encrypt | examples | examples/AE.cry | [] | [
"Int",
"Nonce",
"Tweak",
"fin",
"join",
"split",
"take",
"zero"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AES128 | = 4 | type | AES128 | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AES192 | = 6 | type | AES192 | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AES256 | = 8 | type | AES256 | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nk | = AES128
// For Cryptol 2.x | x > 0
// NkValid: `Nk -> Bit
// property NkValid k = (k == `AES128) || (k == `AES192) || (k == `AES256)
// Number of blocks and Number of rounds | type | Nk | examples | examples/AES.cry | [] | [
"AES128"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nb | = 4 | type | Nb | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Nr | = 6 + Nk | type | Nr | examples | examples/AES.cry | [] | [
"Nk"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESKeySize | = (Nk*32)
// Helper type definitions | type | AESKeySize | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
GF28 | = [8] | type | GF28 | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
State | = [4][Nb]GF28 | type | State | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
RoundKey | = State | type | RoundKey | examples | examples/AES.cry | [] | [
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
KeySchedule | = (RoundKey, [Nr-1]RoundKey, RoundKey)
// GF28 operations | type | KeySchedule | examples | examples/AES.cry | [] | [
"RoundKey"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESCorrect msg key | = aesDecrypt (aesEncrypt (msg, key), key) == msg | property | AESCorrect | examples | examples/AES.cry | [] | [
"==",
"aesDecrypt",
"aesEncrypt"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Add : {n} (fin n) => [n]GF28 -> GF28 | gf28Add ps = sums ! 0
where sums = [zero] # [ p ^ s | p <- ps | s <- sums ] | function | gf28Add | examples | examples/AES.cry | [] | [
"GF28",
"fin",
"sums"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Mult : (GF28, GF28) -> GF28 | gf28Mult (x, y) = pmod(pmult x y) irreducible | function | gf28Mult | examples | examples/AES.cry | [] | [
"GF28",
"irreducible",
"pmod",
"pmult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Pow : (GF28, [8]) -> GF28 | gf28Pow (n, k) = pow k
where sq x = gf28Mult (x, x)
odd x = x ! 0
pow i = if i == 0 then 1
else if odd i
then gf28Mult(n, sq (pow (i >> 1)))
else sq (pow (i >> 1)) | function | gf28Pow | examples | examples/AES.cry | [] | [
"==",
">>",
"GF28",
"gf28Mult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Inverse : GF28 -> GF28 | gf28Inverse x = gf28Pow (x, 254) | function | gf28Inverse | examples | examples/AES.cry | [] | [
"GF28",
"gf28Pow"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28DotProduct : {n} (fin n) => ([n]GF28, [n]GF28) -> GF28 | gf28DotProduct (xs, ys) = gf28Add [ gf28Mult (x, y) | x <- xs
| y <- ys ] | function | gf28DotProduct | examples | examples/AES.cry | [] | [
"GF28",
"fin",
"gf28Add",
"gf28Mult",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28VectorMult : {n, m} (fin n) => ([n]GF28, [m][n]GF28) -> [m]GF28 | gf28VectorMult (v, ms) = [ gf28DotProduct(v, m) | m <- ms ] | function | gf28VectorMult | examples | examples/AES.cry | [] | [
"fin",
"gf28DotProduct"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28MatrixMult : {n, m, k} (fin m) => ([n][m]GF28, [m][k]GF28) -> [n][k]GF28 | gf28MatrixMult (xss, yss) = [ gf28VectorMult(xs, yss') | xs <- xss ]
where yss' = transpose yss
// The affine transform and its inverse | function | gf28MatrixMult | examples | examples/AES.cry | [] | [
"fin",
"gf28VectorMult",
"transpose",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xformByte : GF28 -> GF28 | xformByte b = gf28Add [b, (b >>> 4), (b >>> 5), (b >>> 6), (b >>> 7), c]
where c = 0x63 | function | xformByte | examples | examples/AES.cry | [] | [
">>>",
"GF28",
"gf28Add"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xformByte' : GF28 -> GF28 | xformByte' b = gf28Add [(b >>> 2), (b >>> 5), (b >>> 7), d] where d = 0x05
// The SubBytes transform and its inverse | function | xformByte' | examples | examples/AES.cry | [] | [
">>>",
"GF28",
"gf28Add"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubByte : GF28 -> GF28 | SubByte b = xformByte (gf28Inverse b) | function | SubByte | examples | examples/AES.cry | [] | [
"GF28",
"gf28Inverse",
"xformByte"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubByte' : GF28 -> GF28 | SubByte' b = sbox@b | function | SubByte' | examples | examples/AES.cry | [] | [
"GF28",
"sbox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubBytes : State -> State | SubBytes state = [ [ SubByte' b | b <- row ] | row <- state ] | function | SubBytes | examples | examples/AES.cry | [] | [
"State",
"SubByte'"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvSubByte : GF28 -> GF28 | InvSubByte b = gf28Inverse (xformByte' b) | function | InvSubByte | examples | examples/AES.cry | [] | [
"GF28",
"gf28Inverse",
"xformByte'"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvSubBytes : State -> State | InvSubBytes state = [ [ InvSubByte b | b <- row ] | row <- state ]
// The ShiftRows transform and its inverse | function | InvSubBytes | examples | examples/AES.cry | [] | [
"InvSubByte",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ShiftRows : State -> State | ShiftRows state = [ row <<< shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
] | function | ShiftRows | examples | examples/AES.cry | [] | [
"<<<",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvShiftRows : State -> State | InvShiftRows state = [ row >>> shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
]
// The MixColumns transform and its inverse | function | InvShiftRows | examples | examples/AES.cry | [] | [
">>>",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
MixColumns : State -> State | MixColumns state = gf28MatrixMult (m, state)
where m = [[2, 3, 1, 1],
[1, 2, 3, 1],
[1, 1, 2, 3],
[3, 1, 1, 2]] | function | MixColumns | examples | examples/AES.cry | [] | [
"State",
"gf28MatrixMult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
InvMixColumns : State -> State | InvMixColumns state = gf28MatrixMult (m, state)
where m = [[0x0e, 0x0b, 0x0d, 0x09],
[0x09, 0x0e, 0x0b, 0x0d],
[0x0d, 0x09, 0x0e, 0x0b],
[0x0b, 0x0d, 0x09, 0x0e]]
// The AddRoundKey transform | function | InvMixColumns | examples | examples/AES.cry | [] | [
"State",
"gf28MatrixMult"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AddRoundKey : (RoundKey, State) -> State | AddRoundKey (rk, s) = rk ^ s
// Key expansion | function | AddRoundKey | examples | examples/AES.cry | [] | [
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Rcon : [8] -> [4]GF28 | Rcon i = [(gf28Pow (<| x |>, i-1)), 0, 0, 0] | function | Rcon | examples | examples/AES.cry | [] | [
"gf28Pow"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
SubWord : [4]GF28 -> [4]GF28 | SubWord bs = [ SubByte' b | b <- bs ] | function | SubWord | examples | examples/AES.cry | [] | [
"SubByte'"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
RotWord : [4]GF28 -> [4]GF28 | RotWord [a0, a1, a2, a3] = [a1, a2, a3, a0] | function | RotWord | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
NextWord : ([8],[4][8],[4][8]) -> [4][8] | NextWord(i, prev, old) = old ^ mask
where mask = if i % `Nk == 0
then SubWord(RotWord(prev)) ^ Rcon (i / `Nk)
else if (`Nk > 6) && (i % `Nk == 4)
then SubWord(prev)
else prev | function | NextWord | examples | examples/AES.cry | [] | [
"&&",
"==",
"Rcon",
"RotWord",
"SubWord"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ExpandKeyForever : [Nk][4][8] -> [inf]RoundKey | ExpandKeyForever seed = [ transpose g | g <- groupBy`{4} (keyWS seed) ] | function | ExpandKeyForever | examples | examples/AES.cry | [] | [
"keyWS",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
keyWS : [Nk][4][8] -> [inf][4][8] | keyWS seed = xs
where xs = seed # [ NextWord(i, prev, old)
| i <- [ `Nk ... ]
| prev <- drop`{Nk-1} xs
| old <- xs
] | function | keyWS | examples | examples/AES.cry | [] | [
"NextWord",
"xs"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ExpandKey : [AESKeySize] -> KeySchedule | ExpandKey key = (keys @ 0, keys @@ [1 .. (Nr - 1)], keys @ `Nr)
where seed : [Nk][4][8]
seed = split (split key)
keys = ExpandKeyForever seed | function | ExpandKey | examples | examples/AES.cry | [] | [
"ExpandKeyForever",
"KeySchedule",
"Nr",
"split"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
fromKS : KeySchedule -> [Nr+1][4][32] | fromKS (f, ms, l) = [ formKeyWords (transpose k) | k <- [f] # ms # [l] ]
where formKeyWords bbs = [ join bs | bs <- bbs ]
// AES rounds and inverses | function | fromKS | examples | examples/AES.cry | [] | [
"KeySchedule",
"join",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESRound : (RoundKey, State) -> State | AESRound (rk, s) = AddRoundKey (rk, MixColumns (ShiftRows (SubBytes s))) | function | AESRound | examples | examples/AES.cry | [] | [
"AddRoundKey",
"MixColumns",
"ShiftRows",
"State",
"SubBytes"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESFinalRound : (RoundKey, State) -> State | AESFinalRound (rk, s) = AddRoundKey (rk, ShiftRows (SubBytes s)) | function | AESFinalRound | examples | examples/AES.cry | [] | [
"AddRoundKey",
"ShiftRows",
"State",
"SubBytes"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESInvRound : (RoundKey, State) -> State | AESInvRound (rk, s) =
InvMixColumns (AddRoundKey (rk, InvSubBytes (InvShiftRows s))) | function | AESInvRound | examples | examples/AES.cry | [] | [
"AddRoundKey",
"InvMixColumns",
"InvShiftRows",
"InvSubBytes",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
AESFinalInvRound : (RoundKey, State) -> State | AESFinalInvRound (rk, s) = AddRoundKey (rk, InvSubBytes (InvShiftRows s))
// Converting a 128 bit message to a State and back | function | AESFinalInvRound | examples | examples/AES.cry | [] | [
"AddRoundKey",
"InvShiftRows",
"InvSubBytes",
"State"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
msgToState : [128] -> State | msgToState msg = transpose (split (split msg)) | function | msgToState | examples | examples/AES.cry | [] | [
"State",
"split",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
stateToMsg : State -> [128] | stateToMsg st = join (join (transpose st))
// AES Encryption | function | stateToMsg | examples | examples/AES.cry | [] | [
"State",
"join",
"transpose"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
aesEncrypt : ([128], [AESKeySize]) -> [128] | aesEncrypt (pt, key) = stateToMsg (AESFinalRound (kFinal, rounds ! 0))
where (kInit, ks, kFinal) = ExpandKey key
state0 = AddRoundKey(kInit, msgToState pt)
rounds = [state0] # [ AESRound (rk, s) | rk <- ks
| s <- rounds
... | function | aesEncrypt | examples | examples/AES.cry | [] | [
"AESFinalRound",
"AESRound",
"AddRoundKey",
"ExpandKey",
"ks",
"msgToState",
"stateToMsg"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
aesDecrypt : ([128], [AESKeySize]) -> [128] | aesDecrypt (ct, key) = stateToMsg (AESFinalInvRound (kFinal, rounds ! 0))
where (kFinal, ks, kInit) = ExpandKey key
state0 = AddRoundKey(kInit, msgToState ct)
rounds = [state0] # [ AESInvRound (rk, s)
| rk <- reverse ks
| s <- rounds
... | function | aesDecrypt | examples | examples/AES.cry | [] | [
"AESFinalInvRound",
"AESInvRound",
"AddRoundKey",
"ExpandKey",
"ks",
"msgToState",
"reverse",
"stateToMsg"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sbox : [256]GF28 | sbox = [
0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67,
0x2b, 0xfe, 0xd7, 0xab, 0x76, 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59,
0x47, 0xf0, 0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0, 0xb7,
0xfd, 0x93, 0x26, 0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1,
0x71, 0xd8, 0x31, 0x15, 0x04, 0xc7, 0x23, ... | function | sbox | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
irreducible | = <| x^^8 + x^^4 + x^^3 + x + 1 |> | function | irreducible | examples | examples/AES.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : [_][8] | x = [1,2,3,4,5,19,12,38,5,3] | function | x | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y : [_][8] | y = [19,3,27,5,12] | function | y | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
z | = x # y | function | z | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
m | = z @ (0 : [1]) //1 | function | m | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
w | = z @ 2 //3 | function | w | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t | = z @ 10 //19 (0x13) | function | t | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
v | = z @ 11 //3 | function | v | examples | examples/append.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t : [8] | t = if True then 5 else 4 //5 | function | t | examples | examples/builtins.cry | [] | [
"True"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
f : [8] | f = if False then 3 else 5 //5 | function | f | examples | examples/builtins.cry | [] | [
"False"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
times : [8] | times = 5 * 1 * 2 * 3 //30 | function | times | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
div : [8] | div = (((30/1)/2)/3) //5 | function | div | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
mod : [8] | mod = 205%10 //5 | function | mod | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
exp : [8] | exp = 2^^7 //128 | function | exp | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
lgtest : [8] | lgtest = lg2 128 //7 | function | lgtest | examples | examples/builtins.cry | [] | [
"lg2"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p : [8] | p = 3+2 //5 | function | p | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
m : [8] | m = 8-3 //5 | function | m | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
neg : [8] | neg = -(-5) //5 | function | neg | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
comp : [8] | comp = ~250 //5 | function | comp | examples | examples/builtins.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p1 | = x == (2 : [2])
//same thing written 2 different ways | property | p1 | examples | examples/builtin_lifting.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p2 | = x + y == 3 | property | p2 | examples | examples/builtin_lifting.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p3 | = x + y == [True,True] | property | p3 | examples | examples/builtin_lifting.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p4 | = xx + yy == [3]
//negation is a unary operator that also lifts over sequences | property | p4 | examples | examples/builtin_lifting.cry | [] | [
"==",
"xx",
"yy"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p5 | = ~ xx == yy | property | p5 | examples | examples/builtin_lifting.cry | [] | [
"==",
"xx",
"yy"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p6 | = (xinf + yinf) @ (0 : [0]) == (1 : [2])
//negation lifts pointwise over an infinite list | property | p6 | examples | examples/builtin_lifting.cry | [] | [
"==",
"xinf",
"yinf"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p7 | = (~ xinf) @ (0 : [0]) == (1 : [2]) | property | p7 | examples | examples/builtin_lifting.cry | [] | [
"==",
"xinf"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p8 | = xrec + xrec + xrec == xrec
//lift over tuples and records at the same time | property | p8 | examples | examples/builtin_lifting.cry | [] | [
"==",
"xrec"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p9 | = (2,2,xrec) + (2,2,xrec) + (2,2,xrec) == (2:[2],2:[2],xrec)
//lift unary over tuples and lists | property | p9 | examples | examples/builtin_lifting.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p10 | = (~ { x = (1,2), y = [3,4,5] }) == {x = (0:[1],1:[2]), y = [4, 3, 2] : [3][3] } | property | p10 | examples | examples/builtin_lifting.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x | = [True,False] | function | x | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = [False,True]
//make sure bitvectors are numbers | function | y | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xx | = [[True,False]] | function | xx | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
yy | = [[False,True]]
//addition lifts pointwise over sequences | function | yy | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xinf | = [2 ... ] | function | xinf | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
yinf | = [3 ... ]
//addition lifts pointwise over infinite lists | function | yinf | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xrec | = { x = 2 : [2], y = 2 : [2] } : {x : [2], y : [2]} | function | xrec | examples | examples/builtin_lifting.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
Cipher KeySize BlockSize | =
{ encrypt : [KeySize] -> [BlockSize] -> [BlockSize]
, decrypt : [KeySize] -> [BlockSize] -> [BlockSize]
} | type | Cipher | examples | examples/Cipher.cry | [] | [
"decrypt",
"encrypt"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t1 | = x @ 0 == (1,3,5,7) | property | t1 | examples | examples/comp.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t2 | = x @ 2 == (2,3,5,9) | property | t2 | examples | examples/comp.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t3 | = x @ 3 == (2,4,6,7) | property | t3 | examples | examples/comp.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t4 | = y @ 3 == (2,2,0) | property | t4 | examples | examples/comp.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : [_]([2],[3],[3],[4]) | x = [(a,b,c,d) | a <- [1,2], b <- [3,4] | c <- [5,6], d <- [7,8,9] ] | function | x | examples | examples/comp.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = [(a,b,c) | a <- [1,2,3], b <- [1,2] | c <- [1 ... ] ] | function | y | examples | examples/comp.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : {a}(fin a) => [a] -> [(a*2)+3] | x v = 0 + 1 | function | x | examples | examples/demote.cry | [] | [
"fin"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = x (2 : [3]) | function | y | examples | examples/demote.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
End of preview. Expand in Data Studio
Cryptol
Cryptol declarations, each row carrying the statement and, where present, the proof.
Source
- Repository: https://github.com/GaloisInc/cryptol
- Commit:
a50cac6eb2c30a79503814f423f375f9476aaceb - Files: 72
- License: other
Schema
| Column | Type | Description |
|---|---|---|
| statement | string | Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof |
| proof | string | Verbatim proof/body, empty if the declaration has none |
| type | string | Declaration keyword |
| symbolic_name | string | Declaration identifier |
| library | string | Sub-library |
| filename | string | Repository-relative source path |
| imports | list[string] | File-level Require/Import modules |
| deps | list[string] | Intra-corpus identifiers referenced |
| docstring | string | Preceding documentation comment, empty if absent |
| source_url | string | Upstream repository |
| commit | string | Upstream commit extracted |
Statistics
- Entries: 1,036
- With proof: 829 (80.0%)
- With docstring: 0 (0.0%)
- Libraries: 13
By type
| Type | Count |
|---|---|
| function | 633 |
| property | 146 |
| primitive | 109 |
| type | 96 |
| primitive type | 37 |
| type constraint | 14 |
| newtype | 1 |
Example
Node
= { message : WorkBlock, state : State }
// Some encryption schemes process multiple blocks at once
- type: type | symbolic_name:
Node| examples/AE.cry
Use
Each declaration is split into a statement (signature/claim) and a proof (body) that are disjoint
and together form the complete declaration, for proof modeling, autoformalization, retrieval, and
dependency analysis via deps.
Citation
@misc{cryptol_dataset,
title = {Cryptol},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/GaloisInc/cryptol, commit a50cac6eb2c3},
url = {https://huggingface.co/datasets/phanerozoic/Cryptol}
}
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