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
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|---|---|---|---|---|---|---|---|---|---|---|
DES : Cipher 64 64 | DES =
{ encrypt key pt = des pt (expandKey key)
, decrypt key ct = des ct (reverse (expandKey key))
}
// Encryption | function | DES | examples | examples/DES.cry | [
"Cipher"
] | [
"Cipher",
"decrypt",
"des",
"encrypt",
"expandKey",
"reverse"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
round : ([48],[2][32]) -> [64] | round (k, [l, r]) = r # (l ^ f (r, k))
// f : {a} (a >= 6) => ([2^^(a-1)],[48]) -> [32]
// f : {b} (b >= 1, 6 == lg2 b) => ([b - 1], [48]) -> [32] | function | round | examples | examples/DES.cry | [
"Cipher"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
expandKey : [64] -> [16][48] | expandKey key = expand (split (key @@ KPz)) | function | expandKey | examples | examples/DES.cry | [
"Cipher"
] | [
"KPz",
"expand",
"split"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
expand: [2][28] -> [16][48] | function | expand | examples | examples/DES.cry | [
"Cipher"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
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"
] | 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
] | function | KP | examples | examples/DES.cry | [
"Cipher"
] | [] | 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
] | function | CP | examples | examples/DES.cry | [
"Cipher"
] | [] | 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
] | function | PP | examples | examples/DES.cry | [
"Cipher"
] | [] | 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
] | function | EP | examples | examples/DES.cry | [
"Cipher"
] | [] | 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
] | function | IP | examples | examples/DES.cry | [
"Cipher"
] | [] | 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
]
// Sboxen | function | FP | examples | examples/DES.cry | [
"Cipher"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
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"
] | 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
// here are all the SBoxes | function | sbox | examples | examples/DES.cry | [
"Cipher"
] | [
"sboxes"
] | 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]
] | function | sbox1 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox2 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox3 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox4 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox5 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox6 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox7 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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]
] | function | sbox8 | examples | examples/DES.cry | [
"Cipher"
] | [] | 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) | function | des | examples | examples/DES.cry | [
"Cipher"
] | [
"FPz",
"IPz",
"length",
"round",
"split",
"swap"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
f (r, k) | = (SBox(k ^ (r @@ EPz))) @@ PPz | function | f | examples | examples/DES.cry | [
"Cipher"
] | [
"EPz",
"PPz",
"SBox"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
swap [a, b] | = b # a
// Key expansion | function | swap | examples | examples/DES.cry | [
"Cipher"
] | [] | 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 ] ] | function | expand | examples | examples/DES.cry | [
"Cipher"
] | [
"<<<",
"CPz",
"sums"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
zeroBasify XP | = [ i - 1 | i <- XP ] | function | zeroBasify | examples | examples/DES.cry | [
"Cipher"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
KPz | = zeroBasify KP | function | KPz | examples | examples/DES.cry | [
"Cipher"
] | [
"KP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
CPz | = zeroBasify CP | function | CPz | examples | examples/DES.cry | [
"Cipher"
] | [
"CP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
PPz | = zeroBasify PP | function | PPz | examples | examples/DES.cry | [
"Cipher"
] | [
"PP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
EPz | = zeroBasify EP | function | EPz | examples | examples/DES.cry | [
"Cipher"
] | [
"EP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
IPz | = zeroBasify IP | function | IPz | examples | examples/DES.cry | [
"Cipher"
] | [
"IP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
FPz | = zeroBasify FP | function | FPz | examples | examples/DES.cry | [
"Cipher"
] | [
"FP",
"zeroBasify"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sboxes | = [ sbox1, sbox2, sbox3, sbox4, sbox5, sbox6, sbox7, sbox8 ] | function | sboxes | examples | examples/DES.cry | [
"Cipher"
] | [
"sbox8"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
vk : [88]([64], [64]) | vk
= [ (0x8001010101010101, 0x95A8D72813DAA94D),
(0x4001010101010101, 0x0EEC1487DD8C26D5),
(0x2001010101010101, 0x7AD16FFB79C45926),
(0x1001010101010101, 0xD3746294CA6A6CF3),
(0x0801010101010101, 0x809F5F873C1FD761),
(0x0401010101010101, 0xC02FAFFEC989D1FC),
(0x0201010101010101, 0x... | function | vk | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
vt : [64]([64], [64]) | vt
= [ (0x8000000000000000, 0x95F8A5E5DD31D900),
(0x4000000000000000, 0xDD7F121CA5015619),
(0x2000000000000000, 0x2E8653104F3834EA),
(0x1000000000000000, 0x4BD388FF6CD81D4F),
(0x0800000000000000, 0x20B9E767B2FB1456),
(0x0400000000000000, 0x55579380D77138EF),
(0x0200000000000000, 0x... | function | vt | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ka : [19]([64], [64], [64]) | ka
= [ (0x7CA110454A1A6E57, 0x01A1D6D039776742, 0x690F5B0D9A26939B),
(0x0131D9619DC1376E, 0x5CD54CA83DEF57DA, 0x7A389D10354BD271),
(0x07A1133E4A0B2686, 0x0248D43806F67172, 0x868EBB51CAB4599A),
(0x3849674C2602319E, 0x51454B582DDF440A, 0x7178876E01F19B2A),
(0x04B915BA43FEB5B6, 0x42FD443059577FA2... | function | ka | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
des_evktest cipher | = evktest (cipher, vk, zero : [64]) | function | des_evktest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"evktest",
"zero"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
des_evttest cipher | = evttest (cipher, 0x0101010101010101 : [64], vt) | function | des_evttest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"evttest",
"vt"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
des_ekatest cipher | = ekatest (cipher, ka) | function | des_ekatest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"ekatest",
"ka"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
vktest cipher | = [ (a, b, e /\ d)
| (a, e) <- evktest (cipher, vk, zero : [64])
| (b, d) <- dvktest (cipher, vk, zero : [64]) ] | function | vktest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"/\\",
"dvktest",
"evktest",
"zero"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
vttest cipher | = [ (a, b, e /\ d)
| (a, e) <- evttest (cipher, 0x0101010101010101 : [64], vt)
| (b, d) <- dvttest (cipher, 0x0101010101010101 : [64], vt) ] | function | vttest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"/\\",
"dvttest",
"evttest",
"vt"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
katest cipher | = [ (a, b, e /\ d)
| (a, e) <- ekatest (cipher, ka)
| (b, d) <- dkatest (cipher, ka) ]
// Test vectors from NIST 800-17 | function | katest | examples | examples/DEStest.cry | [
"DES",
"Test"
] | [
"/\\",
"dkatest",
"ekatest",
"ka"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t1 | = a @ 3 == 1 | property | t1 | examples | examples/inflist.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t2 | = b @ 3 == 1 | property | t2 | examples | examples/inflist.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t3 | = c @ 3 == 4 | property | t3 | examples | examples/inflist.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t4 | = d @ 3 == 4 | property | t4 | examples | examples/inflist.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
a | = [1 ... ] | function | a | examples | examples/inflist.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
b | = [1,2 ... ] | function | b | examples | examples/inflist.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
c | = [1 .. 5] | function | c | examples | examples/inflist.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
d | = [1,3 .. 9] | function | d | examples | examples/inflist.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult_correct_tiny (x:[9]) (y:[9]) | =
zext x * zext y == splitmult`{limb=7} x y | property | splitmult_correct_tiny | examples | examples/Karatsuba.cry | [] | [
"==",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult_correct_small (x:[11]) (y:[11]) | =
zext x * zext y == splitmult`{limb=7} x y | property | splitmult_correct_small | examples | examples/Karatsuba.cry | [] | [
"==",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult_correct_medium(x:[17]) (y:[17]) | =
zext x * zext y == splitmult`{limb=7} x y | property | splitmult_correct_medium | examples | examples/Karatsuba.cry | [] | [
"==",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult_correct_large (x:[59]) (y:[59]) | =
zext x * zext y == splitmult`{limb=7} x y | property | splitmult_correct_large | examples | examples/Karatsuba.cry | [] | [
"==",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult_correct_huge (x:[511]) (y:[511]) | =
zext x * zext y == splitmult`{limb=63} x y | property | splitmult_correct_huge | examples | examples/Karatsuba.cry | [] | [
"==",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
kmult : {limb,n} (fin n, fin limb, limb >= 6, n >= 1) => [n] -> [n] -> [2*n] | kmult x y =
if `n >= (`limb : [max (width limb) (width n)]) then
take (splitmult`{limb} (make_atleast`{limb} x) (make_atleast`{limb} y))
else
(zero#x)*(zero#y)
// Force a bitvector to be at least `n` bits long. As used above, this operation
// should always be a no-op, but teaches the typechecker a necessary... | function | kmult | examples | examples/Karatsuba.cry | [] | [
">=",
"fin",
"take",
"width"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
make_atleast : {n, m, a} (fin n, fin m, Zero a) => [m]a -> [max n m]a | make_atleast x = zero#x
// Execute the recursive step of Karatsuba's multiplication. Split the
// input words into high and low bit portions; then perform three
// recursive multiplies using these intermediate, shorter bitsequences. | function | make_atleast | examples | examples/Karatsuba.cry | [] | [
"Zero",
"fin"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
splitmult : {limb,n} (fin n, fin limb, limb >= 6, n >= 6)
=> [n] -> [n] -> [2*n] | splitmult x y = (ac # bd) + (zero # ad_bc # (zero:[low]))
where
type hi = n/2
type low = n - hi
(a,b) = splitAt`{hi} x
(c,d) = splitAt`{hi} y
ac : [2*hi]
ac = kmult`{limb,hi} a c
bd : [2*low]
bd = kmult`{limb,low} b d
a_b = (zext a) + (zext b)
c_d = (zext c) + (zext d)
ad_bc : [... | function | splitmult | examples | examples/Karatsuba.cry | [] | [
">=",
"fin",
"zero",
"zext"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
id : [32] -> [32] | id x = rec x
where rec k = if (k == 0) then 0 else 1 + rec (k + (-1)) | function | id | examples | examples/mini.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gf28Add : {n} (fin n) => [n][8] -> [8] | gf28Add ps = sums ! 0
where sums = [zero] # [ p ^ s | p <- ps | s <- sums ] | function | gf28Add | examples | examples/mini.cry | [] | [
"fin",
"sums"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sum : [_][8] -> [_][8] | sum x = rec
where rec = [ p + q | p <- x | q <- [1,2,3,4] ] | function | sum | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
inflist | = [1 ... ] : [_][8] | function | inflist | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
rc | = {x = 3 : [8], y = 5 : [8]} | function | rc | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
my_true | = rc.x | function | my_true | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
tup | = (1 : [8], 2 : [8], 3 : [8], 4 : [8]) | function | tup | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
my_3 | = tup.2 | function | my_3 | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
sup | = y where y = 3 : [8] | function | sup | examples | examples/mini.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
gex | = gf28Add [1,2] | function | gex | examples | examples/mini.cry | [] | [
"gf28Add"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
isSome : {a} Option a -> Bit | isSome opt = case opt of
Some _ -> True
None -> False | function | isSome | examples | examples/OptionUtils.cry | [] | [
"Bit",
"False",
"True"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
isNone : {a} Option a -> Bit | isNone opt = ~ isSome opt
/**
* Map an `Option a` to an `Option b` by applying a function to a contained
* value (if `Some`) or returns `None` (if `None`).
*/ | function | isNone | examples | examples/OptionUtils.cry | [] | [
"Bit",
"isSome"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
optApply : {a, b} (a -> b) -> Option a -> Option b | optApply f opt = case opt of
Some x -> Some (f x)
None -> None
/**
* The `optFold` function takes a default value, a function, and an `Option`
* value. If the `Option` value is `None`, then return the default value.
* Otherwise, apply the function to the value inside the `Some` and return the
* result.
*/ | function | optApply | examples | examples/OptionUtils.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
optFold : {a, b} b -> (a -> b) -> Option a -> b | optFold def f opt =
case opt of
Some x -> f x
None -> def
/**
* Flatten a nested `Option` into a single `Option` that is `Some` only if
* both original `Option`s are `Some`.
*/ | function | optFold | examples | examples/OptionUtils.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
optFlatten : {a} Option (Option a) -> Option a | optFlatten opt = case opt of
Some opt' -> opt'
None -> None
/**
* Map an `Option a` to an `Option b` by calling `optApply` on a function that
* produces an `Option b`, then `optFlatten`ing the result.
*/ | function | optFlatten | examples | examples/OptionUtils.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
optFlatApply: {a, b} (a -> Option b) -> Option a -> Option b | function | optFlatApply | examples | examples/OptionUtils.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | ||
optFlatApply f opt | = optFlatten (optApply f opt) | function | optFlatApply | examples | examples/OptionUtils.cry | [] | [
"optApply",
"optFlatten"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
p1 | = z == 3 | property | p1 | examples | examples/props.cry | [] | [
"=="
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
t : {a} [a*3] -> [a*3][a*3] | t d = zero
/*
t1 : [8] -> [2][2][2]
t1 x = split (split x)
t2 : [8] -> ([4],[4])
t2 x = splitAt x
t3 : [8] ->[8] -> [16]
t3 x y = x # y
*/ | function | t | examples | examples/props.cry | [] | [
"zero"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x | = [True, False] | function | x | examples | examples/props.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = [False, True] | function | y | examples | examples/props.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
z | = x + y | function | z | examples | examples/props.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
yy | = [[False, True]] | function | yy | examples | examples/props.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
zz | = xx + yy | function | zz | examples | examples/props.cry | [] | [
"xx",
"yy"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x | = [1,2,3,4] : [_][8] | function | x | examples | examples/split.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = (split x) : [2][2][8] | function | y | examples | examples/split.cry | [] | [
"split"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
a | = (y@0) @ 0 | function | a | examples | examples/split.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
b | = (y@0) @ 1 | function | b | examples | examples/split.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
c | = (y@1) @ 0 | function | c | examples | examples/split.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
d | = (y@1) @ 1 | function | d | examples | examples/split.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
y | = (splitAt x) : ([2][8],[2][8]) | function | y | examples | examples/splitAt.cry | [] | [
"splitAt"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
a | = y.0 @ 0 | function | a | examples | examples/splitAt.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
b | = y.0 @ 1 | function | b | examples | examples/splitAt.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
c | = y.1 @ 0 | function | c | examples | examples/splitAt.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
d | = y.1 @ 1 | function | d | examples | examples/splitAt.cry | [] | [] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
evktest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [n]([ks],[bs]), [bs]) -> [n]([bs], Bit) | evktest (cipher, vkeysCTs, PT) =
[ (CT', CT' == CT) where CT' = cipher.encrypt Key PT
| (Key, CT) <- vkeysCTs ] | function | evktest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
evttest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [ks], [n]([bs],[bs])) -> [n]([bs], Bit) | evttest (cipher, Key, vtextPCTs) =
[ (CT', CT' == CT) where CT' = cipher.encrypt Key PT
| (PT, CT) <- vtextPCTs ] | function | evttest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
ekatest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [n]([ks],[bs],[bs])) -> [n]([bs], Bit) | ekatest (cipher, kaKPCTs) =
[ (CT', CT' == CT) where CT' = cipher.encrypt Key PT
| (Key, PT, CT) <- kaKPCTs ] | function | ekatest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
dvktest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [n]([ks],[bs]), [bs]) -> [n]([bs], Bit) | dvktest (cipher, vkeysCTs, PT) =
[ (PT', PT' == PT) where PT' = cipher.decrypt Key CT
| (Key, CT) <- vkeysCTs ] | function | dvktest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
dvttest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [ks], [n]([bs],[bs])) -> [n]([bs], Bit) | dvttest (cipher, Key, vtextPCTs) =
[ (PT', PT' == PT) where PT' = cipher.decrypt Key CT
| (PT, CT) <- vtextPCTs ] | function | dvttest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
dkatest : {ks, bs, n} (fin bs)
=> (Cipher ks bs, [n]([ks],[bs],[bs])) -> [n]([bs], Bit) | dkatest (cipher, kaKPCTs) =
[ (PT', PT' == PT) where PT' = cipher.decrypt Key CT
| (Key, PT, CT) <- kaKPCTs ] | function | dkatest | examples | examples/Test.cry | [
"Cipher"
] | [
"==",
"Bit",
"Cipher",
"Key",
"fin",
"ks"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb | |
x : [8] | x = length (252 : [8]) | function | x | examples | examples/width.cry | [] | [
"length"
] | https://github.com/GaloisInc/cryptol | a50cac6eb2c30a79503814f423f375f9476aaceb |
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