Datasets:

phanerozoic
/

Cryptol

fact stringlengths 5 19.5k	statement stringlengths 5 19.5k	proof stringlengths 0 4.29k	type stringclasses 7 values	symbolic_name stringlengths 0 36	library stringclasses 13 values	filename stringclasses 71 values	imports listlengths 0 23	deps listlengths 0 14	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
Node = { message : WorkBlock, state : State } // Some encryption schemes process multiple blocks at once	Node = { message : WorkBlock, state : State } // Some encryption schemes process multiple blocks at once		type	Node	examples	examples/AE.cry	[]	[ "State" ]	null	34	36	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
WorkBlock = [p*n]	WorkBlock = [p*n]		type	WorkBlock	examples	examples/AE.cry	[]	[]	null	37	37	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
State = [p*n] // The state for `p` blocks	State = [p*n] // The state for `p` blocks		type	State	examples	examples/AE.cry	[]	[]	null	39	39	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
Tweak = { nonce : Nonce, state : A, z : Int }	Tweak = { nonce : Nonce, state : A, z : Int }		type	Tweak	examples	examples/AE.cry	[]	[ "Int" ]	null	41	41	false	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, ...	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, ...		type	Nonce	examples	examples/AE.cry	[]	[]	null	42	57	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
Int = [64]	Int = [64]		type	Int	examples	examples/AE.cry	[]	[]	null	59	59	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	[]	[ "Int", "Nonce", "Tweak", "fin", "join", "split", "take", "zero" ]	null	61	62	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AES128 = 4	AES128 = 4		type	AES128	examples	examples/AES.cry	[]	[]	null	15	15	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AES192 = 6	AES192 = 6		type	AES192	examples	examples/AES.cry	[]	[]	null	16	16	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AES256 = 8	AES256 = 8		type	AES256	examples	examples/AES.cry	[]	[]	null	17	17	false	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	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" ]	null	19	25	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
Nb = 4	Nb = 4		type	Nb	examples	examples/AES.cry	[]	[]	null	26	26	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
Nr = 6 + Nk	Nr = 6 + Nk		type	Nr	examples	examples/AES.cry	[]	[ "Nk" ]	null	27	27	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AESKeySize = (Nk*32) // Helper type definitions	AESKeySize = (Nk*32) // Helper type definitions		type	AESKeySize	examples	examples/AES.cry	[]	[]	null	29	31	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
GF28 = [8]	GF28 = [8]		type	GF28	examples	examples/AES.cry	[]	[]	null	32	32	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
State = [4][Nb]GF28	State = [4][Nb]GF28		type	State	examples	examples/AES.cry	[]	[]	null	33	33	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
RoundKey = State	RoundKey = State		type	RoundKey	examples	examples/AES.cry	[]	[ "State" ]	null	34	34	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
KeySchedule = (RoundKey, [Nr-1]RoundKey, RoundKey) // GF28 operations	KeySchedule = (RoundKey, [Nr-1]RoundKey, RoundKey) // GF28 operations		type	KeySchedule	examples	examples/AES.cry	[]	[ "RoundKey" ]	null	35	36	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AESCorrect msg key = aesDecrypt (aesEncrypt (msg, key), key) == msg	AESCorrect msg key = aesDecrypt (aesEncrypt (msg, key), key) == msg		property	AESCorrect	examples	examples/AES.cry	[]	[ "==", "aesDecrypt", "aesEncrypt" ]	null	236	236	false	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	[]	[ "GF28", "fin", "sums" ]	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	[]	[ "GF28", "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	[]	[ "==", ">>", "GF28", "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	[]	[ "GF28", "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	[]	[ "GF28", "fin", "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	[]	[ "fin", "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 // The affine transform and its inverse	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" ]	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	[]	[ ">>>", "GF28", "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 // The SubBytes transform and its inverse	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" ]	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	[]	[ "GF28", "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	[]	[ "GF28", "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	[]	[ "State", "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	[]	[ "GF28", "gf28Inverse", "xformByte'" ]	null	87	87	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
InvSubBytes : State -> State InvSubBytes state = [ [ InvSubByte b \| b <- row ] \| row <- state ] // The ShiftRows transform and its inverse	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" ]	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	[]	[ "<<<", "State" ]	null	94	94	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
InvShiftRows : State -> State InvShiftRows state = [ row >>> shiftAmount \| row <- state \| shiftAmount <- [0 .. 3] ] // The MixColumns transform and its inverse	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" ]	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	[]	[ "State", "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]] // The AddRoundKey transform	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" ]	null	112	112	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
AddRoundKey : (RoundKey, State) -> State AddRoundKey (rk, s) = rk ^ s // Key expansion	AddRoundKey : (RoundKey, State) -> State	AddRoundKey (rk, s) = rk ^ s // Key expansion	function	AddRoundKey	examples	examples/AES.cry	[]	[ "State" ]	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", "KeySchedule", "Nr", "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 ] // AES rounds and inverses	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" ]	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", "State", "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", "State", "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", "State" ]	null	169	169	true	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	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" ]	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	[]	[ "State", "split", "transpose" ]	null	176	176	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
stateToMsg : State -> [128] stateToMsg st = join (join (transpose st)) // AES Encryption	stateToMsg : State -> [128]	stateToMsg st = join (join (transpose st)) // AES Encryption	function	stateToMsg	examples	examples/AES.cry	[]	[ "State", "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	[]	[]	null	201	201	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
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]) //1	m = z @ (0 : [1]) //1		function	m	examples	examples/append.cry	[]	[]	null	9	9	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
w = z @ 2 //3	w = z @ 2 //3		function	w	examples	examples/append.cry	[]	[]	null	10	10	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
t = z @ 10 //19 (0x13)	t = z @ 10 //19 (0x13)		function	t	examples	examples/append.cry	[]	[]	null	12	12	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
v = z @ 11 //3	v = z @ 11 //3		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 //5	t : [8]	t = if True then 5 else 4 //5	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 //5	f : [8]	f = if False then 3 else 5 //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 //30	times : [8]	times = 5 * 1 * 2 * 3 //30	function	times	examples	examples/builtins.cry	[]	[]	null	10	10	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
div : [8] div = (((30/1)/2)/3) //5	div : [8]	div = (((30/1)/2)/3) //5	function	div	examples	examples/builtins.cry	[]	[]	null	13	13	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
mod : [8] mod = 205%10 //5	mod : [8]	mod = 205%10 //5	function	mod	examples	examples/builtins.cry	[]	[]	null	16	16	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
exp : [8] exp = 2^^7 //128	exp : [8]	exp = 2^^7 //128	function	exp	examples	examples/builtins.cry	[]	[]	null	19	19	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
lgtest : [8] lgtest = lg2 128 //7	lgtest : [8]	lgtest = lg2 128 //7	function	lgtest	examples	examples/builtins.cry	[]	[ "lg2" ]	null	22	22	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p : [8] p = 3+2 //5	p : [8]	p = 3+2 //5	function	p	examples	examples/builtins.cry	[]	[]	null	25	25	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
m : [8] m = 8-3 //5	m : [8]	m = 8-3 //5	function	m	examples	examples/builtins.cry	[]	[]	null	28	28	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
neg : [8] neg = -(-5) //5	neg : [8]	neg = -(-5) //5	function	neg	examples	examples/builtins.cry	[]	[]	null	31	31	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
comp : [8] comp = ~250 //5	comp : [8]	comp = ~250 //5	function	comp	examples	examples/builtins.cry	[]	[]	null	34	34	true	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p1 = x == (2 : [2]) //same thing written 2 different ways	p1 = x == (2 : [2]) //same thing written 2 different ways		property	p1	examples	examples/builtin_lifting.cry	[]	[ "==" ]	null	10	12	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p2 = x + y == 3	p2 = x + y == 3		property	p2	examples	examples/builtin_lifting.cry	[]	[ "==" ]	null	13	13	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p3 = x + y == [True,True]	p3 = x + y == [True,True]		property	p3	examples	examples/builtin_lifting.cry	[]	[ "==" ]	null	14	14	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p4 = xx + yy == [3] //negation is a unary operator that also lifts over sequences	p4 = xx + yy == [3] //negation is a unary operator that also lifts over sequences		property	p4	examples	examples/builtin_lifting.cry	[]	[ "==", "xx", "yy" ]	null	21	23	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p5 = ~ xx == yy	p5 = ~ xx == yy		property	p5	examples	examples/builtin_lifting.cry	[]	[ "==", "xx", "yy" ]	null	24	24	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p6 = (xinf + yinf) @ (0 : [0]) == (1 : [2]) //negation lifts pointwise over an infinite list	p6 = (xinf + yinf) @ (0 : [0]) == (1 : [2]) //negation lifts pointwise over an infinite list		property	p6	examples	examples/builtin_lifting.cry	[]	[ "==", "xinf", "yinf" ]	null	31	33	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p7 = (~ xinf) @ (0 : [0]) == (1 : [2])	p7 = (~ xinf) @ (0 : [0]) == (1 : [2])		property	p7	examples	examples/builtin_lifting.cry	[]	[ "==", "xinf" ]	null	34	34	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
p8 = xrec + xrec + xrec == xrec //lift over tuples and records at the same time	p8 = xrec + xrec + xrec == xrec //lift over tuples and records at the same time		property	p8	examples	examples/builtin_lifting.cry	[]	[ "==", "xrec" ]	null	38	40	false	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	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	[]	[ "==" ]	null	41	43	false	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] }	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	[]	[ "==" ]	null	44	44	false	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] //make sure bitvectors are numbers	y = [False,True] //make sure bitvectors are numbers		function	y	examples	examples/builtin_lifting.cry	[]	[]	null	7	9	false	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]] //addition lifts pointwise over sequences	yy = [[False,True]] //addition lifts pointwise over sequences		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 ... ] //addition lifts pointwise over infinite lists	yinf = [3 ... ] //addition lifts pointwise over infinite lists		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
Cipher KeySize BlockSize = { encrypt : [KeySize] -> [BlockSize] -> [BlockSize] , decrypt : [KeySize] -> [BlockSize] -> [BlockSize] }	Cipher KeySize BlockSize = { encrypt : [KeySize] -> [BlockSize] -> [BlockSize] , decrypt : [KeySize] -> [BlockSize] -> [BlockSize] }		type	Cipher	examples	examples/Cipher.cry	[]	[ "decrypt", "encrypt" ]	null	8	11	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
t1 = x @ 0 == (1,3,5,7)	t1 = x @ 0 == (1,3,5,7)		property	t1	examples	examples/comp.cry	[]	[ "==" ]	null	4	4	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
t2 = x @ 2 == (2,3,5,9)	t2 = x @ 2 == (2,3,5,9)		property	t2	examples	examples/comp.cry	[]	[ "==" ]	null	5	5	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
t3 = x @ 3 == (2,4,6,7)	t3 = x @ 3 == (2,4,6,7)		property	t3	examples	examples/comp.cry	[]	[ "==" ]	null	6	6	false	https://github.com/GaloisInc/cryptol	a50cac6eb2c30a79503814f423f375f9476aaceb
t4 = y @ 3 == (2,2,0)	t4 = y @ 3 == (2,2,0)		property	t4	examples	examples/comp.cry	[]	[ "==" ]	null	10	10	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
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	[]	[ "fin" ]	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

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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	Verbatim declaration with the leading keyword removed: signature and body/proof joined
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: 1,045
With proof: 438 (41.9%)
With docstring: 0 (0.0%)
Libraries: 13

By type

Type	Count
function	639
property	147
primitive	109
type	98
primitive type	37
type constraint	14
newtype	1

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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