Verification not working

This commit is contained in:
Jordi Baylina
2018-12-15 09:00:35 +01:00
parent e02fd5edf8
commit 09f36d1e4d
16 changed files with 61959 additions and 18 deletions

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@@ -64,4 +64,29 @@ template NOR() {
out <== a*b + 1 - a - b;
}
template MultiAND(n) {
signal input in[n];
signal output out;
if (n==1) {
out <== in[0];
} else if (n==2) {
component and1 = AND();
and1.a <== in[0];
and1.b <== in[1];
out <== and1.out;
} else {
component and2 = AND();
component ands[2];
var n1 = n\2;
var n2 = n-n\2;
ands[0] = MultiAND(n1);
ands[1] = MultiAND(n2);
for (var i=0; i<n1; i++) ands[0].in[i] <== in[i];
for (var i=0; i<n2; i++) ands[1].in[i] <== in[n1+i];
and2.a <== ands[0].out;
and2.b <== ands[1].out;
out <== and2.out;
}
}

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@@ -1,5 +1,9 @@
/***************************************************************************************************
SMTProcessor: Sparse Merkle Tree processor is a component to verify an insert/update/delete elements
into the Sparse Merkle tree.
Insert to an empty leaf
=======================
@@ -213,4 +217,16 @@ template SMTProcessor(nLevels) {
topSwitcher.outL === oldRoot*enabled;
topSwitcher.outR === newRoot*enabled;
// Ckeck keys are equal if updating
component areKeyEquals = IsEqual();
areKeyEquals.in[0] <== oldKey;
areKeyEquals.in[1] <== newKey;
component keysOk = MultiAND(3);
keysOk.in[0] <== 1-fnc[0];
keysOk.in[1] <== fnc[1];
keysOk.in[2] <== 1-areKeyEquals.out;
keysOk.out === 0;
}

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@@ -1,10 +1,8 @@
/******
SMTProcessorLevel
This circuit has 2 has
This circuit has 2 hash
Outputs according to the state.

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@@ -15,9 +15,9 @@ are inserting/deleting in a leaf that contains an element.
The states are:
top: While the index bits of the old and new insex in the top level is the same, whe are in the top state.
old0 and old1: When the we reach processor level, we go to old0 and old1 states
according to `is0` signal.
btn: Once in old1 we go to btn until xor=1
old0: When the we reach insert level, we go to old0 state
if `is0`=1.
btn: Once in insert level and `is0` =0 we go to btn or new1 level if xor=1
new1: This level is reached when xor=1. Here is where we insert/delete the hash of the
old and the new trees with just one element.
na: Not appliable. After processing it, we go to the na level.

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@@ -0,0 +1,117 @@
/*
SMTVerifier is a component to verify inclusion/exclusion of an element in the tree
fnc: 0 -> VERIFY INCLUSION
1 -> VERIFY NOT INCLUSION
*/
include "../gates.circom";
include "../bitify.circom";
include "../comparators.circom";
include "../switcher.circom";
include "smtlevins.circom";
include "smtverifierlevel.circom";
include "smtverifiersm.circom";
include "smthash.circom";
template SMTVerifier(nLevels) {
signal input root;
signal input siblings[nLevels];
signal input oldKey;
signal input oldValue;
signal input isOld0;
signal input key;
signal input value;
signal input fnc;
component hash1Old = SMTHash1();
hash1Old.key <== oldKey;
hash1Old.value <== oldValue;
component hash1New = SMTHash1();
hash1New.key <== key;
hash1New.value <== value;
component n2bOld = Num2Bits_strict();
component n2bNew = Num2Bits_strict();
n2bOld.in <== oldKey;
n2bNew.in <== key;
component smtLevIns = SMTLevIns(nLevels);
for (var i=0; i<nLevels; i++) smtLevIns.siblings[i] <== siblings[i];
smtLevIns.enabled <== 1;
component xors[nLevels];
for (var i=0; i<nLevels; i++) {
xors[i] = XOR();
xors[i].a <== n2bOld.out[i];
xors[i].b <== n2bNew.out[i];
}
component sm[nLevels];
for (var i=0; i<nLevels; i++) {
sm[i] = SMTVerifierSM();
if (i==0) {
sm[i].prev_top <== 1;
sm[i].prev_i0 <== 0;
sm[i].prev_inew <== 0;
sm[i].prev_iold <== 0;
sm[i].prev_na <== 0;
} else {
sm[i].prev_top <== sm[i-1].st_top;
sm[i].prev_i0 <== sm[i-1].st_i0;
sm[i].prev_inew <== sm[i-1].st_inew;
sm[i].prev_iold <== sm[i-1].st_iold;
sm[i].prev_na <== sm[i-1].st_na;
}
sm[i].is0 <== isOld0;
sm[i].xor <== xors[i].out;
sm[i].fnc <== fnc;
sm[i].levIns <== smtLevIns.levIns[i];
}
// sm[nLevels-1].st_na === 1;
component levels[nLevels];
for (var i=nLevels-1; i != -1; i--) {
levels[i] = SMTVerifierLevel();
levels[i].st_top <== sm[i].st_top;
levels[i].st_i0 <== sm[i].st_i0;
levels[i].st_inew <== sm[i].st_inew;
levels[i].st_iold <== sm[i].st_iold;
levels[i].st_na <== sm[i].st_na;
levels[i].sibling <== siblings[i];
levels[i].old1leaf <== hash1Old.out;
levels[i].new1leaf <== hash1New.out;
levels[i].lrbit <== n2bNew.out[i];
if (i==nLevels-1) {
levels[i].child <== 0;
} else {
levels[i].child <== levels[i+1].root;
}
}
// Check that if checking for non inclussuin and isOld0==0 then key!=old
component areKeyEquals = IsEqual();
areKeyEquals.in[0] <== oldKey;
areKeyEquals.in[1] <== key;
component keysOk = MultiAND(3);
keysOk.in[0] <== fnc;
keysOk.in[1] <== 1-isOld0;
keysOk.in[2] <== areKeyEquals.out;
keysOk.out === 0;
// Check the roots
levels[0].root === root;
}

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@@ -0,0 +1,52 @@
/******
SMTVerifierLevel
This circuit has 1 hash
Outputs according to the state.
State root
===== =======
top H'(child, sibling)
i0 0
iold old1leaf
inew new1leaf
na 0
H' is the Hash function with the inputs shifted acordingly.
*****/
template SMTVerifierLevel() {
signal input st_top;
signal input st_i0;
signal input st_iold;
signal input st_inew;
signal input st_na;
signal output root;
signal input sibling;
signal input old1leaf;
signal input new1leaf;
signal input lrbit;
signal input child;
signal aux[2];
component proofHash = SMTHash2();
component switcher = Switcher();
switcher.L <== child;
switcher.R <== sibling;
switcher.sel <== lrbit;
proofHash.L <== switcher.outL;
proofHash.R <== switcher.outR;
aux[0] <== proofHash.out * st_top;
aux[1] <== old1leaf*st_iold;
root <== aux[0] + aux[1] + new1leaf*st_inew;
}

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@@ -0,0 +1,97 @@
/*
Each level in the SMTVerifier has a state.
This is the state machine.
The signals are
levIns: 1 if we are in the level where the insertion should happen
xor: 1 if the bitKey of the old and new keys are different in this level
is0: Input that indicates that the oldKey is 0
fnc: 0 -> VERIFY INCLUSION
1 -> VERIFY NOT INCLUSION
err state is not a state itself. It's a lack of state.
The end of the last level will have to be `na`
levIns=0 ###########
xor=1 # #
fnc=1 ┌──────────▶# err #
│ ## ##
levIns=0 │ #########
xor=0 || fnc=0 │ any
┌────┐ │ ┌────┐
│ │ │ │ │
│ ▼ │ levIns=1 ▼ │
│ ########### │ is0=1 ########### ########### │
│ # # ───────────┘ fnc=1 # # any # # │
└──# top # ─────────────────────▶# i0 #───────────────▶# na #──┘
## ## ──────────┐ ## ## ┌───────▶## ##
########─────────────┐│ ######### │┌────────▶#########
││ levIns=1 ││
││ is0=0 ########### ││
││ fnc=1 # # any│
│└──────────▶ # iold #────────┘│
│ ## ## │
│ ######### │
│ │
│ levIns=1 ########### │
│ fnc=0 # # any
└────────────▶# inew #─────────┘
## ##
#########
*/
template SMTVerifierSM() {
signal input xor;
signal input is0;
signal input levIns;
signal input fnc;
signal input prev_top;
signal input prev_i0;
signal input prev_iold;
signal input prev_inew;
signal input prev_na;
signal output st_top;
signal output st_i0;
signal output st_iold;
signal output st_inew;
signal output st_na;
signal prev_top_lev_ins;
signal prev_top_lev_ins_fnc;
signal xor_fnc;
prev_top_lev_ins <== prev_top * levIns;
prev_top_lev_ins_fnc <== prev_top_lev_ins*fnc; // prev_top * levIns * fnc
xor_fnc <== xor*fnc;
// st_top = prev_top * (1-levIns) * (1 - xor*fnc)
// = + prev_top
// - prev_top * levIns
// - prev_top * xor * fnc
// + prev_top * levIns * xor * fnc
st_top <== (prev_top - prev_top_lev_ins)*(1-xor_fnc);
// st_inew = prev_top * levIns * (1-fnc)
// = + prev_top * levIns
// - prev_top * levIns * fnc
st_inew <== prev_top_lev_ins - prev_top_lev_ins_fnc;
// st_iold = prev_top * levIns * (1-is0)*fnc
// = + prev_top * levIns * fnc
// - prev_top * levIns * fnc * is0
st_iold <== prev_top_lev_ins_fnc * (1 - is0);
// st_i0 = prev_top * levIns * is0
// = + prev_top * levIns * is0
st_i0 <== prev_top_lev_ins * is0;
st_na <== prev_na + prev_inew + prev_iold + prev_i0;
}