From b832c6abaf160a92489df89dcb92816a9b11e123 Mon Sep 17 00:00:00 2001 From: Daniel Lubarov Date: Thu, 6 Oct 2022 17:29:58 -0700 Subject: [PATCH] Update spec --- evm/spec/tries.tex | 16 +++++++++++++--- evm/spec/zkevm.pdf | Bin 150705 -> 161092 bytes evm/spec/zkevm.tex | 3 ++- 3 files changed, 15 insertions(+), 4 deletions(-) diff --git a/evm/spec/tries.tex b/evm/spec/tries.tex index fed78f40..7ec0fcce 100644 --- a/evm/spec/tries.tex +++ b/evm/spec/tries.tex @@ -6,11 +6,21 @@ Withour our zkEVM's kernel memory, \begin{enumerate} \item An empty node is encoded as $(\texttt{MPT\_NODE\_EMPTY})$. - \item A branch node is encoded as $(\texttt{MPT\_NODE\_BRANCH}, c_1, \dots, c_{16}, v)$, where each $c_i$ is a pointer to a child node, and $v$ is a leaf payload. - \item An extension node is encoded as $(\texttt{MPT\_NODE\_EXTENSION}, k, c)$, $k$ is a 2-tuple $(\texttt{packed\_nibbles}, \texttt{num\_nibbles})$, and $c$ is a pointer to a child node. - \item A leaf node is encoded as $(\texttt{MPT\_NODE\_LEAF}, k, v)$, where $k$ is a 2-tuple as above, and $v$ is a leaf payload. + \item A branch node is encoded as $(\texttt{MPT\_NODE\_BRANCH}, c_1, \dots, c_{16}, \abs{v}, v)$, where each $c_i$ is a pointer to a child node, and $v$ is a value of length $\abs{v}$.\footnote{If a branch node has no associated value, then $\abs{v} = 0$ and $v = ()$.} + \item An extension node is encoded as $(\texttt{MPT\_NODE\_EXTENSION}, k, c)$, $k$ represents the part of the key associated with this extension, and is encoded as a 2-tuple $(\texttt{packed\_nibbles}, \texttt{num\_nibbles})$. $c$ is a pointer to a child node. + \item A leaf node is encoded as $(\texttt{MPT\_NODE\_LEAF}, k, \abs{v}, v)$, where $k$ is a 2-tuple as above, and $v$ is a leaf payload. \item A digest node is encoded as $(\texttt{MPT\_NODE\_DIGEST}, d)$, where $d$ is a Keccak256 digest. \end{enumerate} \subsection{Prover input format} + +The initial state of each trie is given by the prover as a nondeterministic input tape. This tape has a similar format: +\begin{enumerate} + \item An empty node is encoded as $(\texttt{MPT\_NODE\_EMPTY})$. + \item A branch node is encoded as $(\texttt{MPT\_NODE\_BRANCH}, \abs{v}, v, c_1, \dots, c_{16})$, where $\abs{v}$ is the length of the value, and $v$ is the value itself. Each $c_i$ is the encoding of a child node. + \item An extension node is encoded as $(\texttt{MPT\_NODE\_EXTENSION}, k, c)$, $k$ represents the part of the key associated with this extension, and is encoded as a 2-tuple $(\texttt{packed\_nibbles}, \texttt{num\_nibbles})$. $c$ is a pointer to a child node. + \item A leaf node is encoded as $(\texttt{MPT\_NODE\_LEAF}, k, \abs{v}, v)$, where $k$ is a 2-tuple as above, and $v$ is a leaf payload. + \item A digest node is encoded as $(\texttt{MPT\_NODE\_DIGEST}, d)$, where $d$ is a Keccak256 digest. +\end{enumerate} +Nodes are thus given in depth-first order, leading to natural recursive methods for encoding and decoding this format. diff --git a/evm/spec/zkevm.pdf b/evm/spec/zkevm.pdf index aff46edac15c99d96ac36fb631373c0924c9b040..184ba36b1d30f5b348c1d79900597a461f054d29 100644 GIT binary patch delta 48033 zcmZs?V{o8tw6z&^(6MdXHafPgj%_DTY}>YN+eXJp$2L0r-g9QArfO>TueECbzxP#Z z)!mQ*GkgwHF9`|8!Ip#!Mh(Oy%E$}}A&uSqL-Te9H|u157f^2wBocuB840yHN+S?x 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