From ac59f2bc45d9cabb5ea70d93874e063815e3f406 Mon Sep 17 00:00:00 2001 From: Daniel Lubarov Date: Sun, 9 Jan 2022 09:52:19 -0800 Subject: [PATCH] readme updates --- README.md | 11 ++++++++--- plonky2.pdf | Bin 0 -> 215152 bytes 2 files changed, 8 insertions(+), 3 deletions(-) create mode 100644 plonky2.pdf diff --git a/README.md b/README.md index f677a7c6..cf9a90c1 100644 --- a/README.md +++ b/README.md @@ -1,8 +1,13 @@ # Plonky2 -Plonky2 is an implementation of recursive arguments based on Plonk and FRI. It uses FRI to check systems of polynomial constraints, similar to the DEEP-ALI method described in the [DEEP-FRI](https://arxiv.org/abs/1903.12243) paper. It is the successor of [plonky](https://github.com/mir-protocol/plonky), which was based on Plonk and Halo. +Plonky2 is a SNARK implementation based on techniques from PLONK and FRI. It is the successor of [Plonky](https://github.com/mir-protocol/plonky), which was based on PLONK and Halo. -Plonky2 is largely focused on recursion performance. We use custom gates to mitigate the bottlenecks of FRI verification, such as hashing and interpolation. We also encode witness data in a ~64 bit field, so field operations take just a few cycles. To achieve 128-bit security, we repeat certain checks, and run certain parts of the argument in an extension field. +Plonky2 is built for speed, particularly fast recursion. On a Macbook Pro, recursive proofs can be generated in about 170 ms. + + +## Documentation + +For more details about the Plonky2 argument system, see this [writeup](plonky2.pdf). ## Running @@ -21,5 +26,5 @@ Plonky2 was developed by Polygon Zero (formerly Mir). While we plan to adopt an ## Disclaimer -This code has not been thoroughly reviewed or tested, and should not be used in any production systems. +This code has not yet been audited, and should not be used in any production systems. diff --git a/plonky2.pdf b/plonky2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..7aba5eb70423d2fd9e24206dcef989a107c38c98 GIT binary patch literal 215152 zcma&NQ>-vRqh)z)+qP}nwr$(CZTma6ZQHhOpZR;HGwI~sq;I7jD)nBgR(90eCSV}2H?o4_;en!;F|{*yu^?b%VB#S7e+Lx3n5B)2sS^Rcn2n)} zsfekuy@@FlA0L#ni<7CLEtJP*tlE~{5gUTK>|)*rZWfBoEzqxUpvJ?y1A*E8!xqKdSs({k!_P< z@4L%@*6t&p^w8x8%G`*qE6Y_=aFd>a0}kF%-7I=_-uC^@=iyFEH4~xcR*Pxt?l1J1 z*Yxk?-ky$bU9|ryzwSNA*VoHh!XKFbS?(X}FMmJ|YitE#frXcvJCQZjgw+BrhH)?oAkXEgncf3ex80Rs>3>v#4HF%6yh&MCloXd;g}+Q zFndHJcNdZ?Knq%jEhL_#8pB!35Xgi zl3{~ZnG%`M7uRlRaUQ&P3kFHIy;FL(_9B$VuOI~?OD7mRz7digBSai(RoUT3xQm)1 z#X4)(__zhoqI1!SB;f0i>F{`dvGhuSuPSKd-Y7SsCaJTitMiz^6zZADv{}}45xDtS zGb@MIhGkU`RF+v3n*J#;HMk1V=x$@gWy>I`#U9PL3gk(c&@5NRTx4D+$mZgq7%c+k zd)b92rVHIuvApLnxN9byffAz-LHJs@B5k2^$ZSEn!F3$j zRKUlrpb85)Zb7MoML=<%r>12*Qc%;e3!Cj&j2KffnqkP;T%MB#a_wF$ZjnsqI$l4( z@4xOu$$M?|@w=Du;s?t%qCF6y)ha;2Yg9ho8`xvUc`AbxFRVhF#*~krU^2scVI*y* z5ML&Ol@)8FCNIqhf8*p~i_P(sQIb?%y$I~vhYmyB-yVxFCbn6eciKG`-+5CxCL)bBST#SpC6#BoJ zcc8atg)S&lJCpy7ga54l7fKkJSpO?jIM~?#Kc*1;-=VUjA+5Z{fY5uU{!W2!L!voH ztgyJ~rUk{B`f6Z<%;IWu37+!%DV27}!-e21Q9f%zmTl2pwPW9>TLaV60p8PwT+&w< z&O>4n5pmCuM0mO_jh39BoFEKWdL~l;v3Bk%zi>;gOV_VpWV{`b`eV=`Sl>D{VdKO? zniwuQ4l2HT{YuYo_Rk%5R|ikt{P%6+3)00de@5@|JNlO)8rrwH$mP%H%_yyW+S zF;G}A;^nlN<{KiAtf`1CPLmczN~&QYXp;uI!GUTVp2TE-+e)Pr-y*YBvbdS{ha?^A5XL7s!sWG8fZ!Pz>Yx`S(P@rbqhS{HPHTt&lK{JF3llmmp=JnQ^PQg0@Ar9N zu#cf*h(HyrnS?E}!dI9u>IO`h3GpS9!}h97XPssGh-|5~efHuH^mNzxz;c?D431D8s$|eT(j_y3kC!|j8@ZBa%ouBpJQ~TTlc(JuZ}&7 zJ|&jGtv4D*mz~itKTUU-z4Cms9Fk*!TuXUmGR!7Ja8vOj07pQ-sS?HyrIa#2oLSf8 zLI)oo2k+5^MvosCnH#q+`l_oosXieAfYSwv><49AyFR6v+|~K4EJs9DvI@)D94TB- zWR=uM^DnZcJPe}hY%J!2s>TU_$71I-$$<^^h;M?n*x$#IU|W_ zwfu&v@&#mNjZWO8Hnr}e%WGwOwo(U%zo!6f&dB-3>A>fQkC*2y!A6i)lB?mWhRf?SCo)Bbw6AN27?nSL*kz2Bwh4|KaMt zNkT`WEy?a(3(b?@HE;-=NaR2Oba=|gI{7yjU=Yd#YI{z{e^MEiFlL_*FV+~ex9AIp z+0=l4#i1GzEYP8H=t?GqEM|(=wS2mvWK4>!`(u|LQF|Y%4fvzLgiy?p*+)n9e^wj@ ztegk*S5SagW74F^`nFV&a{Nu{(p61${hivp| z^}m5;y1p(!FuVRgdAljKO|rW$uzl~5sL@iEx0>ASdpe$yb=mKSt~Z)8inuMdVY4 zmaAxvU34!Cy2icHcd^w2z0-5qVuw_onoMYxh7*4uFP&72!n zEIn5WFLP5WAcf{&-BfW+#&NxMh~Zi$5s1<`>G!cP0irdg_qKYg&HF(>E6|{e);U8EBmF7->UAfEXO!PCKo)k{wl?fv+9b0Hm~59BF|yk6TF! z#j^FnA6|pZidq0&5CEI7GvpYHp!) zX{Fu-_?Sb*WxD&S9#)Q+;ucU-71CX5&0T6i-d*k{VPU;TO+=MhPO{TRJr$ozVwuRz zMX53`{p$OW7%T9Js!G>FL0!1@t}2TfxY1C7VUZ-YXRP49;d=To7IyY`T~*cIISp<}_|pA)z8N5GEf zJh{`BcX;#1h_D#rI8q&Qf;y_krzNQHd7Ef^1b6lPjEnYR>Dy;~3jz?SmeR1{omEQR znYTG%J)ofl76tWQgC_&U$m~5w07n@%mQ!&*ipfJ#Fu7Y1w4EH#G0lO|A^Zid!23bW zS~yH49Uw1p^Hpa+q#`8%N5epvHe$&5?&Q?rq24Hf@=gEUs~%((x#!BqLG@XDV2_4@ z&kJ*(Id#Ynf%TxS^4u93$K)aa@wyt{*(@2{KUiD&dF9C>7JmbgY9{Zy$LkYkV7St<+#CB2Ncg_n%rw^U=A3TKB+>+T!m)&XQxz*6#g+1}T)MConT;-M`lC@x(frD3FTCs)# zEIxwac$*Uf$H<+BQlg+;ODdFiz$T8{D=T0Kky3s(K5Ysp?Y63{5C-6wl75E` zNqV9DElGZtn<}^%G}c#e*V?}08Wh=6nH7*tzRb9v2@i$#*5Q0QOvzVwol!XRy`t-p(PJ>^WK++hWj=cFJqS%B(qM^tt; zIUXWb;?T?gmbE&(0J2D?0-=JK71OabCs`mItc|bs(U|p#p{Bv6Tc?sS{;0hdlGMe`0-4{3o27;aBQ#E)wmsOEy2=uAZF<$A?M9GL?ZRm>Q*wUWa6eA~`JQ*DZs5aA1e@(vYbSZ06 zQNp8E_lDX@QbDFpMe4c*L_;L{35qt6v^Pieu)v21!^nmGlUaZ*d;!8p2c4|)mnV>c z7zCH=0OmboO$*(^A}-_urwD~&@?0mpoHI-vNWeJwW~gv9U&eW)cpPhkIH5XIg(C5}GSfw(NL}!K{jdd&_MY!&*FB zpejjOPCRo4)5&#m)nvw|Y*|e(#$?;tDLY7mYx;)n`EVc=Soe32XtQXf}k7Cs9w>KHb@e3HNX|=el)4ASjZE&R#JO6%LJf zA=3Hv?%(t4+=H@19!=7K$Y(?xiMICqClxwmfJ+Ybra7y7&&@^MFk5yHp+Rit;2V8O z{{fqtfSaqM|NW4f2vwkAW7OB#<10AwYVpATzPf2rUrWcY`}0NQYSh=uFZyLO}8`@9?rR&bH#0%_3zK}skxhb3pFnTfK%yf?tI9j^ZCsB}vlzEOP znYX6WVTMi0llejrJ7@)CI_kInKvE!3>v?qR6(u%1v}g{D_@XhLD2@n4T*P1|U5RhP zc%g_^WDX@*<12+2=*O;6V(}#iUAyI+Czqt|G$(yd5}3(D=bJnWI6}~&WqzrpQoboxg@A+>+(%!U(RL|ZQD52P1FU93gdYXO2}H;4^OBnyD{5)A@<8o<}pIx zL``1IY38h#1&BE@IaJI>mI0jeFP@os8>%2H12X_64x-Nv8ie(0)|li7ln(%{rSWyU zWE;VJBOrzhj7kZlC(~F_mD|x5*k6{igaFa+>row?jJvsHtatQ{Hq{q-NA6mH2o?wrPCY| zsnYCY)hwRbD(N5->mD`zer zKDT7ax!g!PSgK}<8G4IXs(Jl~2J;Z1mTH!Cm8_*pABV*r)_F6ZeR2I3+TAgp3RxS3S|W)K>VyK?S4iUrWjeqoWfymVaUo8~

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