Proof Assistant Projects
Collection
Digesting proof assistant libraries for AI ingestion. • 103 items • Updated • 3
fact stringlengths 7 19.6k | statement stringlengths 3 19.5k | proof stringlengths 0 19.3k | type stringclasses 1
value | symbolic_name stringlengths 1 30 | library stringclasses 13
values | filename stringclasses 71
values | imports listlengths 0 23 | deps listlengths 0 17 | docstring stringclasses 0
values | line_start int64 1 1.24k | line_end int64 1 1.24k | has_proof bool 2
classes | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
parameter
type A : * // State type
type K : * // Key type
type n : # // Block size
type p : # // Number of blocks to process at once
type tagAmount : #
type constraint (fin p, fin n, n >= tagAmount)
// Process a single block using this key and tweak
tweak_cipher : K... | parameter
type A : * // State type
type K : * // Key type
type n : # // Block size
type p : # // Number of blocks to process at once
type tagAmount : #
type constraint (fin p, fin n, n >= tagAmount)
// Process a single block using this key and tweak
tweak_cipher : K... | function | parameter | examples | examples/AE.cry | [] | [
":",
"K",
"and",
"type"
] | null | 10 | 33 | false | 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... | 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 | [] | [
":",
"K",
"join",
"split",
"take",
"zero"
] | null | 61 | 62 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
type Node = { message : WorkBlock, state : State }
// Some encryption schemes process multiple blocks at once
type WorkBlock = [p*n]
type State = [p*n] // The state for `p` blocks
type Tweak = { nonce : Nonce, state : A, z : Int }
type Nonce = [n]
/*
property
// The tweak in the `i`th query ... | type Node = { message : WorkBlock, state : State } | type WorkBlock = [p*n]
type State = [p*n] // The state for `p` blocks
type Tweak = { nonce : Nonce, state : A, z : Int }
type 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... | function | type | examples | examples/AE.cry | [] | [
":",
"decrypt",
"property"
] | null | 34 | 36 | true | 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 ] | 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 | [] | [
":",
"sums",
"zero"
] | null | 37 | 37 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
gf28Mult : (GF28, GF28) -> GF28
gf28Mult (x, y) = pmod(pmult x y) irreducible | gf28Mult : (GF28, GF28) -> GF28 | gf28Mult (x, y) = pmod(pmult x y) irreducible | function | gf28Mult | examples | examples/AES.cry | [] | [
":",
"irreducible",
"pmod",
"pmult"
] | null | 43 | 43 | true | 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)) | 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 | [] | [
":",
"gf28Mult"
] | null | 46 | 46 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
gf28Inverse : GF28 -> GF28
gf28Inverse x = gf28Pow (x, 254) | gf28Inverse : GF28 -> GF28 | gf28Inverse x = gf28Pow (x, 254) | function | gf28Inverse | examples | examples/AES.cry | [] | [
":",
"gf28Pow"
] | null | 55 | 55 | true | 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 ] | 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 | [] | [
":",
"gf28Add",
"gf28Mult",
"xs"
] | null | 58 | 58 | true | 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 ] | 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 | [] | [
":",
"gf28DotProduct"
] | null | 62 | 62 | true | 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 | 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 | function | gf28MatrixMult | examples | examples/AES.cry | [] | [
":",
"and",
"gf28VectorMult",
"transpose",
"xs"
] | null | 65 | 65 | true | 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 | 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 | [] | [
":",
"gf28Add"
] | null | 70 | 70 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
xformByte' : GF28 -> GF28
xformByte' b = gf28Add [(b >>> 2), (b >>> 5), (b >>> 7), d] where d = 0x05 | xformByte' : GF28 -> GF28 | xformByte' b = gf28Add [(b >>> 2), (b >>> 5), (b >>> 7), d] where d = 0x05 | function | xformByte' | examples | examples/AES.cry | [] | [
":",
"SubBytes",
"and",
"gf28Add"
] | null | 74 | 74 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
SubByte : GF28 -> GF28
SubByte b = xformByte (gf28Inverse b) | SubByte : GF28 -> GF28 | SubByte b = xformByte (gf28Inverse b) | function | SubByte | examples | examples/AES.cry | [] | [
":",
"gf28Inverse",
"xformByte"
] | null | 77 | 77 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
SubByte' : GF28 -> GF28
SubByte' b = sbox@b | SubByte' : GF28 -> GF28 | SubByte' b = sbox@b | function | SubByte' | examples | examples/AES.cry | [] | [
":",
"sbox"
] | null | 80 | 80 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
SubBytes : State -> State
SubBytes state = [ [ SubByte' b | b <- row ] | row <- state ] | SubBytes : State -> State | SubBytes state = [ [ SubByte' b | b <- row ] | row <- state ] | function | SubBytes | examples | examples/AES.cry | [] | [
":",
"SubByte'"
] | null | 83 | 83 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
InvSubByte : GF28 -> GF28
InvSubByte b = gf28Inverse (xformByte' b) | InvSubByte : GF28 -> GF28 | InvSubByte b = gf28Inverse (xformByte' b) | function | InvSubByte | examples | examples/AES.cry | [] | [
":",
"gf28Inverse",
"xformByte'"
] | null | 87 | 87 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
InvSubBytes : State -> State
InvSubBytes state = [ [ InvSubByte b | b <- row ] | row <- state ] | InvSubBytes : State -> State | InvSubBytes state = [ [ InvSubByte b | b <- row ] | row <- state ] | function | InvSubBytes | examples | examples/AES.cry | [] | [
":",
"InvSubByte",
"ShiftRows",
"and"
] | null | 90 | 90 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
ShiftRows : State -> State
ShiftRows state = [ row <<< shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
] | ShiftRows : State -> State | ShiftRows state = [ row <<< shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
] | function | ShiftRows | examples | examples/AES.cry | [] | [
":"
] | null | 94 | 94 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
InvShiftRows : State -> State
InvShiftRows state = [ row >>> shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
] | InvShiftRows : State -> State | InvShiftRows state = [ row >>> shiftAmount | row <- state
| shiftAmount <- [0 .. 3]
] | function | InvShiftRows | examples | examples/AES.cry | [] | [
":",
"MixColumns",
"and"
] | null | 99 | 99 | true | 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]] | 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 | [] | [
":",
"gf28MatrixMult"
] | null | 105 | 105 | true | 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]] | 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]] | function | InvMixColumns | examples | examples/AES.cry | [] | [
":",
"AddRoundKey",
"gf28MatrixMult"
] | null | 112 | 112 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
AddRoundKey : (RoundKey, State) -> State
AddRoundKey (rk, s) = rk ^ s | AddRoundKey : (RoundKey, State) -> State | AddRoundKey (rk, s) = rk ^ s | function | AddRoundKey | examples | examples/AES.cry | [] | [
":"
] | null | 120 | 120 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
Rcon : [8] -> [4]GF28
Rcon i = [(gf28Pow (<| x |>, i-1)), 0, 0, 0] | Rcon : [8] -> [4]GF28 | Rcon i = [(gf28Pow (<| x |>, i-1)), 0, 0, 0] | function | Rcon | examples | examples/AES.cry | [] | [
":",
"gf28Pow"
] | null | 123 | 123 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
SubWord : [4]GF28 -> [4]GF28
SubWord bs = [ SubByte' b | b <- bs ] | SubWord : [4]GF28 -> [4]GF28 | SubWord bs = [ SubByte' b | b <- bs ] | function | SubWord | examples | examples/AES.cry | [] | [
":",
"SubByte'"
] | null | 126 | 126 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
RotWord : [4]GF28 -> [4]GF28
RotWord [a0, a1, a2, a3] = [a1, a2, a3, a0] | RotWord : [4]GF28 -> [4]GF28 | RotWord [a0, a1, a2, a3] = [a1, a2, a3, a0] | function | RotWord | examples | examples/AES.cry | [] | [
":"
] | null | 129 | 129 | true | 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 | 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"
] | null | 132 | 132 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
ExpandKeyForever : [Nk][4][8] -> [inf]RoundKey
ExpandKeyForever seed = [ transpose g | g <- groupBy`{4} (keyWS seed) ] | ExpandKeyForever : [Nk][4][8] -> [inf]RoundKey | ExpandKeyForever seed = [ transpose g | g <- groupBy`{4} (keyWS seed) ] | function | ExpandKeyForever | examples | examples/AES.cry | [] | [
":",
"keyWS",
"transpose"
] | null | 141 | 141 | true | 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
] | 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"
] | null | 144 | 144 | true | 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 | 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",
"split"
] | null | 152 | 152 | true | 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 ] | fromKS : KeySchedule -> [Nr+1][4][32] | fromKS (f, ms, l) = [ formKeyWords (transpose k) | k <- [f] # ms # [l] ]
where formKeyWords bbs = [ join bs | bs <- bbs ] | function | fromKS | examples | examples/AES.cry | [] | [
":",
"and",
"join",
"transpose"
] | null | 158 | 158 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
AESRound : (RoundKey, State) -> State
AESRound (rk, s) = AddRoundKey (rk, MixColumns (ShiftRows (SubBytes s))) | AESRound : (RoundKey, State) -> State | AESRound (rk, s) = AddRoundKey (rk, MixColumns (ShiftRows (SubBytes s))) | function | AESRound | examples | examples/AES.cry | [] | [
":",
"AddRoundKey",
"MixColumns",
"ShiftRows",
"SubBytes"
] | null | 163 | 163 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
AESFinalRound : (RoundKey, State) -> State
AESFinalRound (rk, s) = AddRoundKey (rk, ShiftRows (SubBytes s)) | AESFinalRound : (RoundKey, State) -> State | AESFinalRound (rk, s) = AddRoundKey (rk, ShiftRows (SubBytes s)) | function | AESFinalRound | examples | examples/AES.cry | [] | [
":",
"AddRoundKey",
"ShiftRows",
"SubBytes"
] | null | 166 | 166 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
AESInvRound : (RoundKey, State) -> State
AESInvRound (rk, s) =
InvMixColumns (AddRoundKey (rk, InvSubBytes (InvShiftRows s))) | AESInvRound : (RoundKey, State) -> State | AESInvRound (rk, s) =
InvMixColumns (AddRoundKey (rk, InvSubBytes (InvShiftRows s))) | function | AESInvRound | examples | examples/AES.cry | [] | [
":",
"AddRoundKey",
"InvMixColumns",
"InvShiftRows",
"InvSubBytes"
] | null | 169 | 169 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
AESFinalInvRound : (RoundKey, State) -> State
AESFinalInvRound (rk, s) = AddRoundKey (rk, InvSubBytes (InvShiftRows s)) | AESFinalInvRound : (RoundKey, State) -> State | AESFinalInvRound (rk, s) = AddRoundKey (rk, InvSubBytes (InvShiftRows s)) | function | AESFinalInvRound | examples | examples/AES.cry | [] | [
":",
"AddRoundKey",
"InvShiftRows",
"InvSubBytes",
"and"
] | null | 172 | 172 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
msgToState : [128] -> State
msgToState msg = transpose (split (split msg)) | msgToState : [128] -> State | msgToState msg = transpose (split (split msg)) | function | msgToState | examples | examples/AES.cry | [] | [
":",
"split",
"transpose"
] | null | 176 | 176 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
stateToMsg : State -> [128]
stateToMsg st = join (join (transpose st)) | stateToMsg : State -> [128] | stateToMsg st = join (join (transpose st)) | function | stateToMsg | examples | examples/AES.cry | [] | [
":",
"join",
"transpose"
] | null | 179 | 179 | true | 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
... | 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"
] | null | 183 | 183 | true | 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
... | 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"
] | null | 192 | 192 | true | 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, 0... | 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 | [] | [
":",
"aesEncrypt"
] | null | 201 | 201 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
type AES128 = 4
type AES192 = 6
type AES256 = 8
type 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 Nb = 4
type Nr = 6 + Nk
type AESKeySize = (Nk*32)
// Helper type definitions
typ... | type AES128 = 4 | type AES192 = 6
type AES256 = 8
type 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 Nb = 4
type Nr = 6 + Nk
type AESKeySize = (Nk*32)
// Helper type definitions
type GF28 = ... | function | type | examples | examples/AES.cry | [] | [
"and",
"property"
] | null | 15 | 15 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
irreducible = <| x^^8 + x^^4 + x^^3 + x + 1 |> | irreducible = <| x^^8 + x^^4 + x^^3 + x + 1 |> | function | irreducible | examples | examples/AES.cry | [] | [] | null | 41 | 41 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
property AESCorrect msg key = aesDecrypt (aesEncrypt (msg, key), key) == msg | property AESCorrect msg key = aesDecrypt (aesEncrypt (msg, key), key) == msg | function | property | examples | examples/AES.cry | [] | [
"aesDecrypt",
"aesEncrypt"
] | null | 236 | 236 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : [_][8]
x = [1,2,3,4,5,19,12,38,5,3] | x : [_][8] | x = [1,2,3,4,5,19,12,38,5,3] | function | x | examples | examples/append.cry | [] | [
":"
] | null | 1 | 1 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
y : [_][8]
y = [19,3,27,5,12] | y : [_][8] | y = [19,3,27,5,12] | function | y | examples | examples/append.cry | [] | [
":"
] | null | 4 | 4 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
z = x # y | z = x # y | function | z | examples | examples/append.cry | [] | [] | null | 7 | 7 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
m = z @ (0 : [1]) | m = z @ (0 : [1]) | function | m | examples | examples/append.cry | [] | [
":"
] | null | 9 | 9 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
w = z @ 2 | w = z @ 2 | function | w | examples | examples/append.cry | [] | [] | null | 10 | 10 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t = z @ 10 | t = z @ 10 | function | t | examples | examples/append.cry | [] | [] | null | 12 | 12 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
v = z @ 11 | v = z @ 11 | function | v | examples | examples/append.cry | [] | [] | null | 13 | 13 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t : [8]
t = if True then 5 else 4 | t : [8] | t = if True then 5 else 4 | function | t | examples | examples/builtins.cry | [] | [
":",
"True"
] | null | 4 | 4 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
f : [8]
f = if False then 3 else 5 | f : [8] | f = if False then 3 else 5 | function | f | examples | examples/builtins.cry | [] | [
":",
"False"
] | null | 7 | 7 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
times : [8]
times = 5 * 1 * 2 * 3 | times : [8] | times = 5 * 1 * 2 * 3 | function | times | examples | examples/builtins.cry | [] | [
":"
] | null | 10 | 10 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
div : [8]
div = (((30/1)/2)/3) | div : [8] | div = (((30/1)/2)/3) | function | div | examples | examples/builtins.cry | [] | [
":"
] | null | 13 | 13 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
mod : [8]
mod = 205%10 | mod : [8] | mod = 205%10 | function | mod | examples | examples/builtins.cry | [] | [
":"
] | null | 16 | 16 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
exp : [8]
exp = 2^^7 | exp : [8] | exp = 2^^7 | function | exp | examples | examples/builtins.cry | [] | [
":"
] | null | 19 | 19 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
lgtest : [8]
lgtest = lg2 128 | lgtest : [8] | lgtest = lg2 128 | function | lgtest | examples | examples/builtins.cry | [] | [
":",
"lg2"
] | null | 22 | 22 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
p : [8]
p = 3+2 | p : [8] | p = 3+2 | function | p | examples | examples/builtins.cry | [] | [
":"
] | null | 25 | 25 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
m : [8]
m = 8-3 | m : [8] | m = 8-3 | function | m | examples | examples/builtins.cry | [] | [
":"
] | null | 28 | 28 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
neg : [8]
neg = -(-5) | neg : [8] | neg = -(-5) | function | neg | examples | examples/builtins.cry | [] | [
":"
] | null | 31 | 31 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
comp : [8]
comp = ~250 | comp : [8] | comp = ~250 | function | comp | examples | examples/builtins.cry | [] | [
":"
] | null | 34 | 34 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
x = [True,False] | x = [True,False] | function | x | examples | examples/builtin_lifting.cry | [] | [] | null | 6 | 6 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y = [False,True] | y = [False,True] | function | y | examples | examples/builtin_lifting.cry | [] | [] | null | 7 | 9 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
property p1 = x == (2 : [2])
//same thing written 2 different ways
property p2 = x + y == 3
property p3 = x + y == [True,True]
property p4 = xx + yy == [3]
//negation is a unary operator that also lifts over sequences
property p5 = ~ xx == yy
property p6 = (xinf + yinf) @ (0 : [0]) == (1 : [2])
//negation lifts poin... | property p1 = x == (2 : [2]) | property p2 = x + y == 3
property p3 = x + y == [True,True]
property p4 = xx + yy == [3]
//negation is a unary operator that also lifts over sequences
property p5 = ~ xx == yy
property p6 = (xinf + yinf) @ (0 : [0]) == (1 : [2])
//negation lifts pointwise over an infinite list
property p7 = (~ xinf) @ (0 : [0]) == (1... | function | property | examples | examples/builtin_lifting.cry | [] | [
":",
"and",
"xinf",
"xrec",
"xx",
"yinf",
"yy"
] | null | 10 | 12 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
xx = [[True,False]] | xx = [[True,False]] | function | xx | examples | examples/builtin_lifting.cry | [] | [] | null | 17 | 17 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
yy = [[False,True]] | yy = [[False,True]] | function | yy | examples | examples/builtin_lifting.cry | [] | [] | null | 18 | 20 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xinf = [2 ... ] | xinf = [2 ... ] | function | xinf | examples | examples/builtin_lifting.cry | [] | [] | null | 27 | 27 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
yinf = [3 ... ] | yinf = [3 ... ] | function | yinf | examples | examples/builtin_lifting.cry | [] | [] | null | 28 | 30 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
xrec = { x = 2 : [2], y = 2 : [2] } : {x : [2], y : [2]} | xrec = { x = 2 : [2], y = 2 : [2] } : {x : [2], y : [2]} | function | xrec | examples | examples/builtin_lifting.cry | [] | [
":"
] | null | 36 | 36 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
type Cipher KeySize BlockSize =
{ encrypt : [KeySize] -> [BlockSize] -> [BlockSize]
, decrypt : [KeySize] -> [BlockSize] -> [BlockSize]
} | type Cipher KeySize BlockSize =
{ encrypt : [KeySize] -> [BlockSize] -> [BlockSize]
, decrypt : [KeySize] -> [BlockSize] -> [BlockSize]
} | function | type | examples | examples/Cipher.cry | [] | [
":",
"decrypt",
"encrypt"
] | null | 8 | 11 | false | 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] ] | 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 | [] | [
":"
] | null | 1 | 1 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
property t1 = x @ 0 == (1,3,5,7)
property t2 = x @ 2 == (2,3,5,9)
property t3 = x @ 3 == (2,4,6,7)
property t4 = y @ 3 == (2,2,0) | property t1 = x @ 0 == (1,3,5,7) | property t2 = x @ 2 == (2,3,5,9)
property t3 = x @ 3 == (2,4,6,7)
property t4 = y @ 3 == (2,2,0) | function | property | examples | examples/comp.cry | [] | [
"t1",
"t2"
] | null | 4 | 4 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
y = [(a,b,c) | a <- [1,2,3], b <- [1,2] | c <- [1 ... ] ] | y = [(a,b,c) | a <- [1,2,3], b <- [1,2] | c <- [1 ... ] ] | function | y | examples | examples/comp.cry | [] | [] | null | 8 | 8 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : {a}(fin a) => [a] -> [(a*2)+3]
x v = 0 + 1 | x : {a}(fin a) => [a] -> [(a*2)+3] | x v = 0 + 1 | function | x | examples | examples/demote.cry | [] | [
":"
] | null | 1 | 1 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
y = x (2 : [3]) | y = x (2 : [3]) | function | y | examples | examples/demote.cry | [] | [
":"
] | null | 4 | 4 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
DES : Cipher 64 64
DES =
{ encrypt key pt = des pt (expandKey key)
, decrypt key ct = des ct (reverse (expandKey key))
} | DES : Cipher 64 64 | DES =
{ encrypt key pt = des pt (expandKey key)
, decrypt key ct = des ct (reverse (expandKey key))
} | function | DES | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"decrypt",
"des",
"encrypt",
"expandKey",
"reverse"
] | null | 11 | 11 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
round : ([48],[2][32]) -> [64]
round (k, [l, r]) = r # (l ^ f (r, k)) | round : ([48],[2][32]) -> [64] | round (k, [l, r]) = r # (l ^ f (r, k)) | function | round | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"lg2"
] | null | 27 | 27 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
expandKey : [64] -> [16][48]
expandKey key = expand (split (key @@ KPz)) | expandKey : [64] -> [16][48] | expandKey key = expand (split (key @@ KPz)) | function | expandKey | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"KPz",
"expand",
"split"
] | null | 38 | 38 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
expand: [2][28] -> [16][48] | expand: [2][28] -> [16][48] | function | expand: | examples | examples/DES.cry | [
"Cipher"
] | [] | null | 41 | 41 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sums : [16][8] -> [16][8]
sums xs = ys
where ys = [ x + y | x <- xs | y <- [0] # ys ] | sums : [16][8] -> [16][8] | sums xs = ys
where ys = [ x + y | x <- xs | y <- [0] # ys ] | function | sums | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"xs"
] | null | 46 | 46 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
KP : [56][6]
KP = [57,49,41,33,25,17, 9, 1,58,50,42,34,26,18,
10, 2,59,51,43,35,27,19,11, 3,60,52,44,36,
63,55,47,39,31,23,15, 7,62,54,46,38,30,22,
14, 6,61,53,45,37,29,21,13, 5,28,20,12, 4
] | KP : [56][6] | KP = [57,49,41,33,25,17, 9, 1,58,50,42,34,26,18,
10, 2,59,51,43,35,27,19,11, 3,60,52,44,36,
63,55,47,39,31,23,15, 7,62,54,46,38,30,22,
14, 6,61,53,45,37,29,21,13, 5,28,20,12, 4
] | function | KP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 58 | 58 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
CP : [48][6]
CP = [14, 17, 11, 24, 1, 5, 3, 28, 15, 6, 21, 10,
23, 19, 12, 4, 26, 8, 16, 7, 27, 20, 13, 2,
41, 52, 31, 37, 47, 55, 30, 40, 51, 45, 33, 48,
44, 49, 39, 56, 34, 53, 46, 42, 50, 36, 29, 32
] | CP : [48][6] | CP = [14, 17, 11, 24, 1, 5, 3, 28, 15, 6, 21, 10,
23, 19, 12, 4, 26, 8, 16, 7, 27, 20, 13, 2,
41, 52, 31, 37, 47, 55, 30, 40, 51, 45, 33, 48,
44, 49, 39, 56, 34, 53, 46, 42, 50, 36, 29, 32
] | function | CP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 66 | 66 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
PP : [32][6]
PP = [16, 7, 20, 21, 29, 12, 28, 17, 1, 15, 23, 26, 5, 18, 31, 10,
2, 8, 24, 14, 32, 27, 3, 9, 19, 13, 30, 6, 22, 11, 4, 25
] | PP : [32][6] | PP = [16, 7, 20, 21, 29, 12, 28, 17, 1, 15, 23, 26, 5, 18, 31, 10,
2, 8, 24, 14, 32, 27, 3, 9, 19, 13, 30, 6, 22, 11, 4, 25
] | function | PP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 73 | 73 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
EP : [48][6]
EP = [32, 1, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9,
8, 9, 10, 11, 12, 13, 12, 13, 14, 15, 16, 17,
16, 17, 18, 19, 20, 21, 20, 21, 22, 23, 24, 25,
24, 25, 26, 27, 28, 29, 28, 29, 30, 31, 32, 1
] | EP : [48][6] | EP = [32, 1, 2, 3, 4, 5, 4, 5, 6, 7, 8, 9,
8, 9, 10, 11, 12, 13, 12, 13, 14, 15, 16, 17,
16, 17, 18, 19, 20, 21, 20, 21, 22, 23, 24, 25,
24, 25, 26, 27, 28, 29, 28, 29, 30, 31, 32, 1
] | function | EP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 78 | 78 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
IP : [64][7]
IP = [58, 50, 42, 34, 26, 18, 10, 2, 60, 52, 44, 36, 28, 20, 12, 4,
62, 54, 46, 38, 30, 22, 14, 6, 64, 56, 48, 40, 32, 24, 16, 8,
57, 49, 41, 33, 25, 17, 9, 1, 59, 51, 43, 35, 27, 19, 11, 3,
61, 53, 45, 37, 29, 21, 13, 5, 63, 55, 47, 39, 31, 23, 15, 7
] | IP : [64][7] | IP = [58, 50, 42, 34, 26, 18, 10, 2, 60, 52, 44, 36, 28, 20, 12, 4,
62, 54, 46, 38, 30, 22, 14, 6, 64, 56, 48, 40, 32, 24, 16, 8,
57, 49, 41, 33, 25, 17, 9, 1, 59, 51, 43, 35, 27, 19, 11, 3,
61, 53, 45, 37, 29, 21, 13, 5, 63, 55, 47, 39, 31, 23, 15, 7
] | function | IP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 86 | 86 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
FP : [64][7]
FP = [40, 8, 48, 16, 56, 24, 64, 32, 39, 7, 47, 15, 55, 23, 63, 31,
38, 6, 46, 14, 54, 22, 62, 30, 37, 5, 45, 13, 53, 21, 61, 29,
36, 4, 44, 12, 52, 20, 60, 28, 35, 3, 43, 11, 51, 19, 59, 27,
34, 2, 42, 10, 50, 18, 58, 26, 33, 1, 41, 9, 49, 17, 57, 25
] | FP : [64][7] | FP = [40, 8, 48, 16, 56, 24, 64, 32, 39, 7, 47, 15, 55, 23, 63, 31,
38, 6, 46, 14, 54, 22, 62, 30, 37, 5, 45, 13, 53, 21, 61, 29,
36, 4, 44, 12, 52, 20, 60, 28, 35, 3, 43, 11, 51, 19, 59, 27,
34, 2, 42, 10, 50, 18, 58, 26, 33, 1, 41, 9, 49, 17, 57, 25
] | function | FP | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 93 | 93 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
SBox : [48] -> [32]
SBox x = join [ sbox (n, b) | n <- [1 .. 8] | b <- split x ] | SBox : [48] -> [32] | SBox x = join [ sbox (n, b) | n <- [1 .. 8] | b <- split x ] | function | SBox | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"join",
"sbox",
"split"
] | null | 101 | 101 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox : ([4], [6]) -> [4]
sbox (n, x) = (s @ [b1, b6] @ [b2, b3, b4, b5])
where s = sboxes @ (n - 1)
b1 = x @ 0
b2 = x @ 1
b3 = x @ 2
b4 = x @ 3
b5 = x @ 4
b6 = x @ 5 | sbox : ([4], [6]) -> [4] | sbox (n, x) = (s @ [b1, b6] @ [b2, b3, b4, b5])
where s = sboxes @ (n - 1)
b1 = x @ 0
b2 = x @ 1
b3 = x @ 2
b4 = x @ 3
b5 = x @ 4
b6 = x @ 5 | function | sbox | examples | examples/DES.cry | [
"Cipher"
] | [
":",
"all",
"sboxes"
] | null | 104 | 104 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox1 : [4][16][4]
sbox1 = [[14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7],
[0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8],
[4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0],
[15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13]
] | sbox1 : [4][16][4] | sbox1 = [[14, 4, 13, 1, 2, 15, 11, 8, 3, 10, 6, 12, 5, 9, 0, 7],
[0, 15, 7, 4, 14, 2, 13, 1, 10, 6, 12, 11, 9, 5, 3, 8],
[4, 1, 14, 8, 13, 6, 2, 11, 15, 12, 9, 7, 3, 10, 5, 0],
[15, 12, 8, 2, 4, 9, 1, 7, 5, 11, 3, 14, 10, 0, 6, 13]
] | function | sbox1 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 118 | 118 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox2 : [4][16][4]
sbox2 = [[15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10],
[3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5],
[0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15],
[13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9]
] | sbox2 : [4][16][4] | sbox2 = [[15, 1, 8, 14, 6, 11, 3, 4, 9, 7, 2, 13, 12, 0, 5, 10],
[3, 13, 4, 7, 15, 2, 8, 14, 12, 0, 1, 10, 6, 9, 11, 5],
[0, 14, 7, 11, 10, 4, 13, 1, 5, 8, 12, 6, 9, 3, 2, 15],
[13, 8, 10, 1, 3, 15, 4, 2, 11, 6, 7, 12, 0, 5, 14, 9]
] | function | sbox2 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 124 | 124 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox3 : [4][16][4]
sbox3 = [[10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8],
[13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1],
[13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7],
[1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12]
] | sbox3 : [4][16][4] | sbox3 = [[10, 0, 9, 14, 6, 3, 15, 5, 1, 13, 12, 7, 11, 4, 2, 8],
[13, 7, 0, 9, 3, 4, 6, 10, 2, 8, 5, 14, 12, 11, 15, 1],
[13, 6, 4, 9, 8, 15, 3, 0, 11, 1, 2, 12, 5, 10, 14, 7],
[1, 10, 13, 0, 6, 9, 8, 7, 4, 15, 14, 3, 11, 5, 2, 12]
] | function | sbox3 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 131 | 131 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox4 : [4][16][4]
sbox4 = [[7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15],
[13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9],
[10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4],
[3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14]
] | sbox4 : [4][16][4] | sbox4 = [[7, 13, 14, 3, 0, 6, 9, 10, 1, 2, 8, 5, 11, 12, 4, 15],
[13, 8, 11, 5, 6, 15, 0, 3, 4, 7, 2, 12, 1, 10, 14, 9],
[10, 6, 9, 0, 12, 11, 7, 13, 15, 1, 3, 14, 5, 2, 8, 4],
[3, 15, 0, 6, 10, 1, 13, 8, 9, 4, 5, 11, 12, 7, 2, 14]
] | function | sbox4 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 138 | 138 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox5 : [4][16][4]
sbox5 = [[2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9],
[14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6],
[4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14],
[11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3]
] | sbox5 : [4][16][4] | sbox5 = [[2, 12, 4, 1, 7, 10, 11, 6, 8, 5, 3, 15, 13, 0, 14, 9],
[14, 11, 2, 12, 4, 7, 13, 1, 5, 0, 15, 10, 3, 9, 8, 6],
[4, 2, 1, 11, 10, 13, 7, 8, 15, 9, 12, 5, 6, 3, 0, 14],
[11, 8, 12, 7, 1, 14, 2, 13, 6, 15, 0, 9, 10, 4, 5, 3]
] | function | sbox5 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 145 | 145 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox6 : [4][16][4]
sbox6 = [[12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11],
[10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8],
[9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6],
[4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13]
] | sbox6 : [4][16][4] | sbox6 = [[12, 1, 10, 15, 9, 2, 6, 8, 0, 13, 3, 4, 14, 7, 5, 11],
[10, 15, 4, 2, 7, 12, 9, 5, 6, 1, 13, 14, 0, 11, 3, 8],
[9, 14, 15, 5, 2, 8, 12, 3, 7, 0, 4, 10, 1, 13, 11, 6],
[4, 3, 2, 12, 9, 5, 15, 10, 11, 14, 1, 7, 6, 0, 8, 13]
] | function | sbox6 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 152 | 152 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox7 : [4][16][4]
sbox7 = [[4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1],
[13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6],
[1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2],
[6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12]
] | sbox7 : [4][16][4] | sbox7 = [[4, 11, 2, 14, 15, 0, 8, 13, 3, 12, 9, 7, 5, 10, 6, 1],
[13, 0, 11, 7, 4, 9, 1, 10, 14, 3, 5, 12, 2, 15, 8, 6],
[1, 4, 11, 13, 12, 3, 7, 14, 10, 15, 6, 8, 0, 5, 9, 2],
[6, 11, 13, 8, 1, 4, 10, 7, 9, 5, 0, 15, 14, 2, 3, 12]
] | function | sbox7 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 159 | 159 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
sbox8 : [4][16][4]
sbox8 = [[13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7],
[1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2],
[7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8],
[2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11]
] | sbox8 : [4][16][4] | sbox8 = [[13, 2, 8, 4, 6, 15, 11, 1, 10, 9, 3, 14, 5, 0, 12, 7],
[1, 15, 13, 8, 10, 3, 7, 4, 12, 5, 6, 11, 0, 14, 9, 2],
[7, 11, 4, 1, 9, 12, 14, 2, 0, 6, 10, 13, 15, 3, 5, 8],
[2, 1, 14, 7, 4, 10, 8, 13, 15, 12, 9, 0, 3, 5, 6, 11]
] | function | sbox8 | examples | examples/DES.cry | [
"Cipher"
] | [
":"
] | null | 166 | 166 | true | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
des pt keys = (swap (split lst)) @@ FPz
where
pt' = pt @@ IPz
iv = [ round (k, split lr)
| k <- keys
| lr <- [pt'] # iv ]
lst = iv @ (length keys - 1) | des pt keys = (swap (split lst)) @@ FPz
where
pt' = pt @@ IPz
iv = [ round (k, split lr)
| k <- keys
| lr <- [pt'] # iv ]
lst = iv @ (length keys - 1) | function | des | examples | examples/DES.cry | [
"Cipher"
] | [
"FPz",
"IPz",
"length",
"round",
"split",
"swap"
] | null | 19 | 25 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
f (r, k) = (SBox(k ^ (r @@ EPz))) @@ PPz | f (r, k) = (SBox(k ^ (r @@ EPz))) @@ PPz | function | f | examples | examples/DES.cry | [
"Cipher"
] | [
"EPz",
"PPz",
"SBox"
] | null | 32 | 32 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
swap [a, b] = b # a | swap [a, b] = b # a | function | swap | examples | examples/DES.cry | [
"Cipher"
] | [] | null | 34 | 36 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
expand [kl, kr] =
[ ((kl <<< i) # (kr <<< i)) @@ CPz
| i <- sums [ 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ] ] | expand [kl, kr] =
[ ((kl <<< i) # (kr <<< i)) @@ CPz
| i <- sums [ 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1 ] ] | function | expand | examples | examples/DES.cry | [
"Cipher"
] | [
"CPz",
"sums"
] | null | 42 | 44 | false | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
zeroBasify XP = [ i - 1 | i <- XP ] | zeroBasify XP = [ i - 1 | i <- XP ] | function | zeroBasify | examples | examples/DES.cry | [
"Cipher"
] | [] | null | 50 | 50 | false | 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 |
|---|---|---|
| fact | string | Complete verbatim declaration (keyword, signature, and body/proof) |
| statement | string | Signature with the leading keyword removed (verbatim slice) |
| proof | string | Verbatim proof/body, empty if 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, null if absent |
| line_start | int | First source line |
| line_end | int | Last source line |
| has_proof | bool | Whether a proof block was captured |
| source_url | string | Upstream repository |
| commit | string | Upstream commit extracted |
Statistics
- Entries: 761
- With proof: 461 (60.6%)
- With docstring: 0 (0.0%)
- Libraries: 13
By type
| Type | Count |
|---|---|
| function | 761 |
Example
gf28Add : {n} (fin n) => [n]GF28 -> GF28
gf28Add ps = sums ! 0
where sums = [zero] # [ p ^ s | p <- ps | s <- sums ]
- type: function | symbolic_name:
gf28Add| examples/AES.cry:37
Use
Statement and proof are available both joined (fact) and split (statement, proof) for
proof-term 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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