Return-Path: Received: from smtp2.osuosl.org (smtp2.osuosl.org [IPv6:2605:bc80:3010::133]) by lists.linuxfoundation.org (Postfix) with ESMTP id 96BCCC000E for ; Thu, 11 Nov 2021 22:28:54 +0000 (UTC) Received: from localhost (localhost [127.0.0.1]) by smtp2.osuosl.org (Postfix) with ESMTP id 731784037A for ; Thu, 11 Nov 2021 22:28:54 +0000 (UTC) X-Virus-Scanned: amavisd-new at osuosl.org X-Spam-Flag: NO X-Spam-Score: -0.199 X-Spam-Level: X-Spam-Status: No, score=-0.199 tagged_above=-999 required=5 tests=[BAYES_20=-0.001, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, DKIM_VALID_AU=-0.1, DKIM_VALID_EF=-0.1, FREEMAIL_FROM=0.001, HTML_MESSAGE=0.001, RCVD_IN_DNSWL_NONE=-0.0001, SPF_HELO_NONE=0.001, SPF_PASS=-0.001] autolearn=ham autolearn_force=no Authentication-Results: smtp2.osuosl.org (amavisd-new); dkim=pass (2048-bit key) header.d=gmail.com Received: from smtp2.osuosl.org ([127.0.0.1]) by localhost (smtp2.osuosl.org [127.0.0.1]) (amavisd-new, port 10024) with ESMTP id E78ubwniZL9k for ; Thu, 11 Nov 2021 22:28:53 +0000 (UTC) X-Greylist: whitelisted by SQLgrey-1.8.0 Received: from mail-pj1-x102e.google.com (mail-pj1-x102e.google.com [IPv6:2607:f8b0:4864:20::102e]) by smtp2.osuosl.org (Postfix) with ESMTPS id 1B5B740233 for ; Thu, 11 Nov 2021 22:28:53 +0000 (UTC) Received: by mail-pj1-x102e.google.com with SMTP id h24so5167061pjq.2 for ; Thu, 11 Nov 2021 14:28:53 -0800 (PST) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20210112; h=mime-version:from:date:message-id:subject:to; bh=IytL+tT4CTqfarPup3BVEwxCSWCpFZ08q4/GAfhkCKY=; b=q0/cJThFMwrrtIl5Gq4Y0FUOAvusLrmMIF0wIsyKOoK9vtF+vMuhM6hjwSyUy13jet dGFvOOx32LbpsWfUWzDYoOeYRX9WrqmHiAZAvgz02N7zooVNiQthD3cbTAsCi603OtQo MhBUNJGWDo/j3t7sLYafAVnyStxCLObGTbwctizJK5S4m9KyeS2iiZ2GKMwfmIhagGkU +yiYolXQAFnmwwftbH8dn+M227xBF8dwWdw8UCIjeAK9qrqJE5wqqLOMyb1yD7rCLfmx xdjL1gXJMmPjNlxT5KnkhQQfg/Rw01vH5FvMzdqkFNmpRcfFLWl0YqbqL1qmVdQ5x5s1 f0TQ== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20210112; h=x-gm-message-state:mime-version:from:date:message-id:subject:to; bh=IytL+tT4CTqfarPup3BVEwxCSWCpFZ08q4/GAfhkCKY=; b=JhDubvRMlXH4vn/Cbk33VUa919wQauIyfQn/JrRAgeefdVx1aRsD3RsgqlIJqPiQwu qeD74U0YSCH/hGEXTLG8ywKtp0LX+4rTCeojj+U+80albESm+LgJqyxK4utB8fv2CxKu uHdoOsyjmJ7mznhvtN27EvprtDn5GkoChRiY6YqDRBjyUtiDTVhIVp4y05uF2mZ+O/yo 0tYytSKmLAcxB1OIph4M7/RKlX6cl7n3sGiHJ4EcPWxDRA8ydDVitBDOauACl3VDd5io Psri62tTkH6KocgNOZTWSQWcgePWqKLlNjLDd5z3gM5GiL2zaiygjfPHtfOoFfrGG3sN w2wA== X-Gm-Message-State: AOAM532QSqxZPHDWYmU4hTdSYIHT3kYnQmNkc5mtIFSvqirColHBr4Ff riLL6T3iYCS8zLu4SW4OtRBpLEIzEi/yBZBx2kRM1Hgu X-Google-Smtp-Source: ABdhPJyif/iXEgnq23vYFFB/nHlLK/h/TbiTdmcPxH/3dCUbrrJdIaCVo/K2Gi7mcHtpYHZ9HzZ9lx2t/9GA3WMgNUc= X-Received: by 2002:a17:903:300d:b0:142:744f:c74d with SMTP id o13-20020a170903300d00b00142744fc74dmr2962194pla.26.1636669732051; Thu, 11 Nov 2021 14:28:52 -0800 (PST) MIME-Version: 1.0 From: shymaa arafat Date: Fri, 12 Nov 2021 00:28:39 +0200 Message-ID: To: Bitcoin Protocol Discussion Content-Type: multipart/mixed; boundary="000000000000fe95f905d08add90" X-Mailman-Approved-At: Thu, 11 Nov 2021 23:33:03 +0000 Subject: [bitcoin-dev] Providing "non-inclusion proofs" to "append to the right Merkles" with minimized overhead X-BeenThere: bitcoin-dev@lists.linuxfoundation.org X-Mailman-Version: 2.1.15 Precedence: list List-Id: Bitcoin Protocol Discussion List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Thu, 11 Nov 2021 22:28:54 -0000 --000000000000fe95f905d08add90 Content-Type: multipart/alternative; boundary="000000000000fe95f605d08add8e" --000000000000fe95f605d08add8e Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Dear Bitcoin Developers, Hi everybody, Please allow me to suggest this idea, hope you find it worth reading & commenting.... While append to the right UTXO Merkles have the much needed advantage of locality of reference that leads to shorter batch proofs, they're criticized by some for not providing non-inclusion proofs. This is a suggestion to slightly change the needed anyway map/dictionary to map the UTXOS to their positions as leaves given their hash value, so that it can provide non-inclusion proofs.... 1-A 2=E2=81=B6=E2=81=B4 (could be tuned*) pointer vector is allocated to pu= t the UTXO in a bucket according to its hash. 2-Due to the Cryptographic hash robustness & bit randomness UTXO hashes should fall uniformly as all buckets are equiprobable and each bucket is expected to contain 1-2 UTXOS (less than Go lang map load factor which is 6.5-8, 2=C2=B3=C2=B2 entry may lead to the same) 3-Insertion is adding a node (in order)to the bucket linked list, deletion is deleting a node from the bucket list; the vector bucket pointer maybe adjusted in the process from or to NULL value. . The strucutre should be as in attached figure: Vector of pointers to buckets that could be linked lists with the following fields in each node: -A pointer to the UTXO leaf in the main Merkle -The value of the remaining hash bits, or could be omitted with its value with the leaf node. -two bit flag that will be explained shortly. . 4-To save computation time, we may calculate and send the accumulated root value of this secondary tree only once per block; either at the end if valid or when encountering an invalid UTXO to send the non-inclusion proof and abort the whole block. Like the Tx Merkle, maybe no need to store the tree or maybe it will save time for the non changed parts (experimental). 5-The non-inclusion proof will be send according to the previous block accumulated root, so during batch preparation a newly inserted UTXO will be flagged 1, a deleted UTXO is flagged -1, and 0 means value the same as previous block. 6-If the block is valid, update and reset flags to 0 while computing the new root. A hash of a bucket is the concatenation of all its nodes(expected to be2), and empty buckets are substituted by a default NULL hash value. 7-If we had an invalid UTXO, we have two cases: a)-The hash doesn't exist in any case ( not even with a deleted flag), in this case we send the usual non-inclusion proof considering old status before any UTXO from this block. b)-The UTXO hash is there, but has a deleted flag (it was spent before during this block); ie, a double spend within the same block. Now, in this case I do have some doubts and suggestions or comments are welcomed: I think we should resend the previous inclusion proof along saying something like "TX ID ....spent it with proof...." I guess this an implementation detail of how to point out to a previous proof in the same block ( I assume such a block is going to be aborted anyways after the invalid UTXO and old status will be resumed, if this is wrong please say so) . That's all, thank you for your time, Shymaa M. Arafat --000000000000fe95f605d08add8e Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable
Dear Bitcoin Developers,
Hi everybody,
Please allow me to suggest t= his idea, hope you find it worth reading &=C2=A0 commenting....

While append to the right UTXO Merkles have the m= uch needed advantage of locality of reference that leads to shorter batch p= roofs, they're criticized by some for not providing non-inclusion proof= s. This is a suggestion to slightly change the needed anyway map/dictionary= to map the UTXOS to their positions as leaves given their hash value, so t= hat it can provide non-inclusion proofs....

1-A 2=E2=81=B6=E2=81=B4 (could be tuned*) pointer vector is a= llocated to put the=C2=A0 UTXO in a bucket according to its hash.2-Due to the Cryptographic hash robustness & bit randomne= ss UTXO hashes should fall uniformly as all buckets are equiprobable and ea= ch bucket is expected to contain 1-2 UTXOS (less than Go lang map load fact= or which is 6.5-8, 2=C2=B3=C2=B2 entry may lead to the same)
3-Insertion is adding a node (in order)to the bucket linked list,= deletion is deleting a node from the bucket list; the vector bucket pointe= r maybe adjusted in the process from or to NULL value.
.
The strucutre should be as in attached figure:<= /div>
Vector of pointers to buckets that could be linked l= ists with the following fields in each node:
-A poin= ter to the UTXO leaf in the main Merkle
-The value o= f the remaining hash bits, or could be omitted with its value with the leaf= node.
-two bit flag that will be explained shortly.=
.
4-To save computation time= , we may calculate and send the accumulated root value of this secondary tr= ee only once per block; either at the end if valid or when encountering an = invalid UTXO to send the non-inclusion proof and abort the whole block. Lik= e the Tx Merkle, maybe no need to store the tree or maybe it will save time= for the non changed parts (experimental).
5-The non= -inclusion proof will be send according to the previous block accumulated r= oot, so during batch preparation a newly inserted=C2=A0 UTXO will be flagge= d 1, a deleted UTXO is=C2=A0 flagged -1, and 0 means value the same as prev= ious block.
6-If the block is valid, update and rese= t flags to 0 while computing the new root. A hash of a bucket is the concat= enation of all its nodes(expected to be2), and empty buckets are substitute= d by a default NULL hash value.
7-If we had an inval= id UTXO, we have two cases:
a)-The hash doesn't = exist in any case ( not even with a deleted flag), in this case we send the= usual non-inclusion proof considering old status before any UTXO from this= block.
b)-The UTXO hash is there, but has a deleted= flag (it was spent before during this block); ie, a double spend within th= e same block.
Now, in this case I do have some doubt= s and suggestions or comments are welcomed:
I think = we should resend the previous inclusion proof along saying something like &= quot;TX ID ....spent it with proof...."
I guess= this an implementation detail of how to point out to a previous proof in t= he same block=C2=A0
( I assume such a block is going= to be aborted anyways after the invalid UTXO and old status will be resume= d, if this is wrong please say so)
.
That's all, thank you for your time,
S= hymaa M. Arafat

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