1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
|
Delivery-date: Mon, 05 May 2025 02:27:32 -0700
Received: from mail-qv1-f57.google.com ([209.85.219.57])
by mail.fairlystable.org with esmtps (TLS1.3) tls TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256
(Exim 4.94.2)
(envelope-from <bitcoindev+bncBCJ3Z64Z34ORB54I4LAAMGQEHSAMY4Q@googlegroups.com>)
id 1uBs6k-0007KY-T5
for bitcoindev@gnusha.org; Mon, 05 May 2025 02:27:31 -0700
Received: by mail-qv1-f57.google.com with SMTP id 6a1803df08f44-6ed0526b507sf72200406d6.0
for <bitcoindev@gnusha.org>; Mon, 05 May 2025 02:27:31 -0700 (PDT)
ARC-Seal: i=2; a=rsa-sha256; t=1746437245; cv=pass;
d=google.com; s=arc-20240605;
b=Q4rfvmvfsVD+eM9opCESz2U/0S0lLo3if9PF/QvHUerpgIP5opRViHGXsa0oADGhOs
n4yuM9oZDq70V4h9kaxpXBJhPZuwp6Iilmepjdmn2Y5xmdkKk+DfpflN2/KUs7BJxUB5
g9qRussWyJW6/aO+cPMr78EFubxe5Z+QE6t+a8wwPaclseTtTqJus4Rwv7cZOZRf3IS7
ko7kD1grEm2W7hL7yrQpcdw1vu9upVQrrOFYl6M4WY8Y9H8LY0XmziOq6e5RPFDnkPg6
ij903xqZOUag84fLOLUFDj1AJCsxANUZuO855xNIkLQkIs6m9vkFvRcVQ1bkhr7aD7Jj
h8Gg==
ARC-Message-Signature: i=2; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:reply-to:to:subject:message-id:date
:from:mime-version:dkim-signature;
bh=2gGMNYHfgySz6tSQ8gCTzmTDBGEBatOUXcwrXoxqdEs=;
fh=0axuZcnL8bro8k6peR0U+DiA/lR71R/crKU1WeIjqEg=;
b=D0BvTsb6v6Zz/xGQIDcas6lT0MVa2TZ5ZAiYLkMXUXF0QpvUwgjbrTwNLTi2crlltA
XIGWijlEiAqeopTBFBYgz0/wJvkV+ZIRVTFpCU/Wj2IHpVYRuvHeTZ5Qifi8/XbKwO+U
TNLtW7rj/hry9NPVl7NolTDv/Dquwlhkl308WqKocyD40ogAOn81joZ2c4T0r28UueJg
x85YAF5+DC8+a9kuC5p8EJTMQ34I/3amAq3aTc1VIJ0qDBMKxMqq0QuNgtgEcmxdSYIN
T1EGlx9vX9miixHa1l1QfaFTRLpv1FKNNE8YyBKcXaixQs1jf2194oNP+AwOAqxrH9r+
DR+g==;
darn=gnusha.org
ARC-Authentication-Results: i=2; gmr-mx.google.com;
dkim=pass header.i=@starkware.co header.s=google header.b=R32+zZIm;
spf=pass (google.com: domain of victor.k@starkware.co designates 2a00:1450:4864:20::236 as permitted sender) smtp.mailfrom=victor.k@starkware.co;
dmarc=pass (p=QUARANTINE sp=QUARANTINE dis=NONE) header.from=starkware.co;
dara=pass header.i=@googlegroups.com
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
d=googlegroups.com; s=20230601; t=1746437245; x=1747042045; darn=gnusha.org;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:reply-to
:x-original-authentication-results:x-original-sender:to:subject
:message-id:date:from:mime-version:from:to:cc:subject:date
:message-id:reply-to;
bh=2gGMNYHfgySz6tSQ8gCTzmTDBGEBatOUXcwrXoxqdEs=;
b=Cur+RiRk1Jhufs1wnSvt2/sTl+faq6A6umayqVCp/mCCTLYY14ZKsoPUaJJUHo3bPC
t7E95a86VCIQvo4XTsI3EwEycd3znpQl0t9QlZjekKaKckzzaUKUB9xfvpz0GGJfEo/m
mxBQFOzhShev72iAS/hhoesOzTGeDQWznqgfVzo+ehH2/wvRk31Ycx+Ypsdj8N7efgaW
nqwj1hn3BZ3E7BxtjQzG53XJP/XZfJONVSU6Se9Q6SCaJp7jTV/KQlCm+2RancEhd+QB
Tow5lmYYHyuiatmXbkC0pcFmOJ20PTIyKlMiFXAt0Ib0a60GTobrmajGI/NtMxUlck07
vqFg==
X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed;
d=1e100.net; s=20230601; t=1746437245; x=1747042045;
h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post
:list-id:mailing-list:precedence:reply-to
:x-original-authentication-results:x-original-sender:to:subject
:message-id:date:from:mime-version:x-beenthere:x-gm-message-state
:from:to:cc:subject:date:message-id:reply-to;
bh=2gGMNYHfgySz6tSQ8gCTzmTDBGEBatOUXcwrXoxqdEs=;
b=edRDsMMYl2UtJ5H+4SplwLLGQ9bauyxqy5GFGgDBB0qkZUNog895a9qDRp27bwHDup
BHsD22WG9mFrepYB8PHdJIz5qmbvjB8lx2cGqov21y0Gp0FFm/AgEJWag2/JfBS2O2r1
8jegt9xTwnU9OYuaKen7UrQ3YPPVs5n4u2Ilhu2kcK2alfk0rcxdV9FsQPi/dVB2n+Ql
4dBYAQOuw1BWIDgBUB4KThD6UcAAx3gs8+xY8hvpkTJaHrszA3HmlYvN+Lli5yeH4jHs
hcYsZdnNWIC7BH6COCYSoxm5Om2JJFfMRT8hwmmJgldBPXYz+6QhaeiOJGHQsVJ7mQmy
B1FQ==
X-Forwarded-Encrypted: i=2; AJvYcCVXGCIxs1IJgFxBxjYqIvHvS/u7Zqz2XKEOiiUUZcewCqFI/evV9u3mr+cGUJRNll4beK53tpJ8k4ei@gnusha.org
X-Gm-Message-State: AOJu0YwS+y3ifb1CMk9aqUe1P5EN56lIq1hBeVDLrnNUA6MSRN25NY8S
FqIlXGqRwwpx6x6VQuwImOWMGW/PlnRei6IrIFzjKM5PQg4B1e+W
X-Google-Smtp-Source: AGHT+IGi3dHWulwLgafjq9HYa8m4NIHTIgZd1TK9MXwaSA1hqrQ6RXHAhjFRxrRyfwyzBgXoMXA+yg==
X-Received: by 2002:a05:6214:124f:b0:6e6:6ba9:9e84 with SMTP id 6a1803df08f44-6f528c95d8emr81678726d6.26.1746437244546;
Mon, 05 May 2025 02:27:24 -0700 (PDT)
X-BeenThere: bitcoindev@googlegroups.com; h=AVT/gBHUX5UJYZPxF2RtU5QH5FJyl5NeH9LHflA9jayIbFgtFQ==
Received: by 2002:ac8:4a0b:0:b0:476:7bbb:af0 with SMTP id d75a77b69052e-48ad5e1689dls54131481cf.0.-pod-prod-07-us;
Mon, 05 May 2025 02:27:19 -0700 (PDT)
X-Received: by 2002:a05:620a:2b92:b0:7c7:93c7:83b8 with SMTP id af79cd13be357-7cae3ab2980mr1053587485a.31.1746437239341;
Mon, 05 May 2025 02:27:19 -0700 (PDT)
Received: by 2002:ab3:1109:0:b0:293:23eb:d65a with SMTP id a1c4a302cd1d6-2acb76282afmsc7a;
Sun, 4 May 2025 05:11:09 -0700 (PDT)
X-Received: by 2002:a2e:be11:0:b0:31f:8659:dc05 with SMTP id 38308e7fff4ca-321dc482f7cmr20448731fa.28.1746360666887;
Sun, 04 May 2025 05:11:06 -0700 (PDT)
ARC-Seal: i=1; a=rsa-sha256; t=1746360666; cv=none;
d=google.com; s=arc-20240605;
b=fkOET7mp07rNpx9SvpZzCXjQOSTtQcKA8Ja+PMzdvkTcmwuhx0kY6lwP18CpiSW4LB
ZAmywK94i0MhOmIVTNfIM9CVLV0oxC/9PquvjKtKgvOq+6mPuKxwyKi08YwcKUjzbUZF
qSRAQP6LXYhRWHVBw+YpCk8LhXmI0kMUuVP90GyAL7TU6K1BlLWk8+BznY1NyF6Izd6X
WJ3KnquJsufdSi/4VeRABFZyxq/brXaCoAdX4+NqwlFPXW8c3h8CY/o0BUxsD9e9Ho+m
OAt0rXet3AtD7Y8gKj+TMAHjAynHWgBA43sXFqivaUDuPKpyigyDSrG8nUHuHE/X7kbr
dOZA==
ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605;
h=to:subject:message-id:date:from:mime-version:dkim-signature;
bh=oPzds3o+21NXxYF0jV6E0UgQ3UI8hcjidb5yNXvnx30=;
fh=VcGcg+Zjs9gw1uDcHbxsAILhBAcecnbJzZRdxgKVDIc=;
b=ctafcl72QHV+kduHGWAsf1zkm2y4941IyHHX+eNrQEO+m0p39mP+mDJa4jXSn2Dffx
15Ryetkp7cHPRopuLOr6ETtlINPTdac3V0pr1czIE4qJ7HuVoUKUpQhvKJv3+9uF5Lv/
tsn+z0BInu78XFdwcSVzNIMeCrFFusGKIAZGMZSkCEJLn0jawkfqn95IJjj+sNw+ShtA
LuamGUI5l6kVGfGb7UQ/zCCPdri5kjiazf9kCw/3bA9lrVrT8YyoGLHXKxLeegoTb2s7
ugaEcQPlwEPIn7Dx7L7pYrSDE8/1AafsHEx1yefwLbfE+Wjqqs2JS3uF3mwacxlnljxf
04DA==;
dara=google.com
ARC-Authentication-Results: i=1; gmr-mx.google.com;
dkim=pass header.i=@starkware.co header.s=google header.b=R32+zZIm;
spf=pass (google.com: domain of victor.k@starkware.co designates 2a00:1450:4864:20::236 as permitted sender) smtp.mailfrom=victor.k@starkware.co;
dmarc=pass (p=QUARANTINE sp=QUARANTINE dis=NONE) header.from=starkware.co;
dara=pass header.i=@googlegroups.com
Received: from mail-lj1-x236.google.com (mail-lj1-x236.google.com. [2a00:1450:4864:20::236])
by gmr-mx.google.com with ESMTPS id 38308e7fff4ca-3202a5b2067si2291671fa.5.2025.05.04.05.11.06
for <bitcoindev@googlegroups.com>
(version=TLS1_3 cipher=TLS_AES_128_GCM_SHA256 bits=128/128);
Sun, 04 May 2025 05:11:06 -0700 (PDT)
Received-SPF: pass (google.com: domain of victor.k@starkware.co designates 2a00:1450:4864:20::236 as permitted sender) client-ip=2a00:1450:4864:20::236;
Received: by mail-lj1-x236.google.com with SMTP id 38308e7fff4ca-30db1bc464dso31187641fa.0
for <bitcoindev@googlegroups.com>; Sun, 04 May 2025 05:11:06 -0700 (PDT)
X-Gm-Gg: ASbGncusS6Ix+9RGfk9/8gk5T7wAiOpdVAZdi3n67aG74rgGnbGZB6JNEF7IPDbf/6O
eZPtJo0F3Rn92M59QzPTOE6yia0xZdlN3EQ+LmzD/Wz6OPajZ4oIge6oLN/DHqFTLF07KekLDbE
hCz9htFSwD6qLLZ+1oQcfj
X-Received: by 2002:a2e:b8cb:0:b0:30b:d543:5a71 with SMTP id
38308e7fff4ca-321daae5a13mr15808031fa.1.1746360666056; Sun, 04 May 2025
05:11:06 -0700 (PDT)
MIME-Version: 1.0
From: "'Victor Kolobov' via Bitcoin Development Mailing List" <bitcoindev@googlegroups.com>
Date: Sun, 4 May 2025 15:10:55 +0300
X-Gm-Features: ATxdqUG3uqk5JtWCrnyCP703b7QbACnSxYfuucZjTpavYlpzwvm2VeF2NnRlqU0
Message-ID: <CAF0T6Xhf=Qb+B-3nBtR1Oiyk3gOO=o-8jdT0cJ6fRH=2azQvAg@mail.gmail.com>
Subject: [bitcoindev] ColliderVM protocol for computation and L2 bridges
To: bitcoindev@googlegroups.com
Content-Type: multipart/alternative; boundary="000000000000267d6d06344e4762"
X-Original-Sender: victor.k@starkware.co
X-Original-Authentication-Results: gmr-mx.google.com; dkim=pass
header.i=@starkware.co header.s=google header.b=R32+zZIm; spf=pass
(google.com: domain of victor.k@starkware.co designates 2a00:1450:4864:20::236
as permitted sender) smtp.mailfrom=victor.k@starkware.co; dmarc=pass
(p=QUARANTINE sp=QUARANTINE dis=NONE) header.from=starkware.co;
dara=pass header.i=@googlegroups.com
X-Original-From: Victor Kolobov <victor.k@starkware.co>
Reply-To: Victor Kolobov <victor.k@starkware.co>
Precedence: list
Mailing-list: list bitcoindev@googlegroups.com; contact bitcoindev+owners@googlegroups.com
List-ID: <bitcoindev.googlegroups.com>
X-Google-Group-Id: 786775582512
List-Post: <https://groups.google.com/group/bitcoindev/post>, <mailto:bitcoindev@googlegroups.com>
List-Help: <https://groups.google.com/support/>, <mailto:bitcoindev+help@googlegroups.com>
List-Archive: <https://groups.google.com/group/bitcoindev
List-Subscribe: <https://groups.google.com/group/bitcoindev/subscribe>, <mailto:bitcoindev+subscribe@googlegroups.com>
List-Unsubscribe: <mailto:googlegroups-manage+786775582512+unsubscribe@googlegroups.com>,
<https://groups.google.com/group/bitcoindev/subscribe>
X-Spam-Score: -1.0 (-)
--000000000000267d6d06344e4762
Content-Type: text/plain; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
I would like to update you about an alternative protocol to BitVM that we
have been working on, which we call ColliderVM. It uses the same trust
assumptions as BitVM but without needing fraud proofs. By that it is
eliminating the need for a fraud-proof time window. All in all, some
additional work is needed to make this protocol practical.
Perhaps some ideas here could also be of independent interest.
Here is the link to the paper:
https://eprint.iacr.org/2025/591
(Please note that we erroneously used an incorrect estimate for BLAKE3
script size, but this will be fixed in the next version which is coming in
a few days):
We=E2=80=99ve also made a video explaining this protocol
https://starkware.co/blog/avihu-levy-bitcoin-horizons-from-op_cat-to-covena=
nts-hong-kong/
Delving Bitcoin post with more details:
https://delvingbitcoin.org/t/collidervm-protocol-for-computation-and-l2-bri=
dges/1662
--=20
You received this message because you are subscribed to the Google Groups "=
Bitcoin Development Mailing List" group.
To unsubscribe from this group and stop receiving emails from it, send an e=
mail to bitcoindev+unsubscribe@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/bitcoindev/=
CAF0T6Xhf%3DQb%2BB-3nBtR1Oiyk3gOO%3Do-8jdT0cJ6fRH%3D2azQvAg%40mail.gmail.co=
m.
--000000000000267d6d06344e4762
Content-Type: text/html; charset="UTF-8"
Content-Transfer-Encoding: quoted-printable
<div dir=3D"ltr"><span id=3D"gmail-docs-internal-guid-fa9f8eab-7fff-ca44-60=
01-41409220963c"><p dir=3D"ltr" style=3D"line-height:1.38;margin-top:0pt;ma=
rgin-bottom:0pt"><span style=3D"font-size:11pt;font-family:Arial,sans-serif=
;color:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;=
font-variant-east-asian:normal;font-variant-alternates:normal;vertical-alig=
n:baseline">I would like to update you about an alternative protocol to Bit=
VM that we have been working on, which we call </span><span style=3D"font-s=
ize:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0);background-color:tra=
nsparent;font-weight:700;font-variant-numeric:normal;font-variant-east-asia=
n:normal;font-variant-alternates:normal;vertical-align:baseline">ColliderVM=
</span><span style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb=
(0,0,0);background-color:transparent;font-variant-numeric:normal;font-varia=
nt-east-asian:normal;font-variant-alternates:normal;vertical-align:baseline=
">. It uses the same trust assumptions as BitVM but without needing fraud p=
roofs. By that it is eliminating the need for a fraud-proof time window. Al=
l in all, some additional work is needed to make this protocol practical.</=
span><span style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0=
,0,0);background-color:transparent;font-variant-numeric:normal;font-variant=
-east-asian:normal;font-variant-alternates:normal;vertical-align:baseline">=
<br></span><span style=3D"font-size:11pt;font-family:Arial,sans-serif;color=
:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;font-v=
ariant-east-asian:normal;font-variant-alternates:normal;vertical-align:base=
line"><br></span><span style=3D"font-size:11pt;font-family:Arial,sans-serif=
;color:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;=
font-variant-east-asian:normal;font-variant-alternates:normal;vertical-alig=
n:baseline">Perhaps some ideas here could also be of independent interest.=
=C2=A0</span></p><p dir=3D"ltr" style=3D"line-height:1.38;margin-top:0pt;ma=
rgin-bottom:0pt"><span style=3D"font-size:11pt;font-family:Arial,sans-serif=
;color:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;=
font-variant-east-asian:normal;font-variant-alternates:normal;vertical-alig=
n:baseline"><br></span><span style=3D"font-size:11pt;font-family:Arial,sans=
-serif;color:rgb(0,0,0);background-color:transparent;font-variant-numeric:n=
ormal;font-variant-east-asian:normal;font-variant-alternates:normal;vertica=
l-align:baseline">Here is the link to the paper:=C2=A0</span></p><p dir=3D"=
ltr" style=3D"line-height:1.38;margin-top:0pt;margin-bottom:0pt"><a href=3D=
"https://eprint.iacr.org/2025/591" style=3D"text-decoration-line:none"><spa=
n style=3D"font-size:11pt;font-family:Arial,sans-serif;background-color:tra=
nsparent;font-variant-numeric:normal;font-variant-east-asian:normal;font-va=
riant-alternates:normal;text-decoration-line:underline;vertical-align:basel=
ine">https://eprint.iacr.org/2025/591</span></a><span style=3D"font-size:11=
pt;font-family:Arial,sans-serif;color:rgb(0,0,0);background-color:transpare=
nt;font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-=
alternates:normal;vertical-align:baseline">=C2=A0</span></p><br><p dir=3D"l=
tr" style=3D"line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style=
=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0);background=
-color:transparent;font-variant-numeric:normal;font-variant-east-asian:norm=
al;font-variant-alternates:normal;vertical-align:baseline">(Please note tha=
t we erroneously used an incorrect estimate for BLAKE3 script size, but thi=
s will be fixed in the next version which is coming in a few days):</span><=
span style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0);=
background-color:transparent;font-variant-numeric:normal;font-variant-east-=
asian:normal;font-variant-alternates:normal;vertical-align:baseline"><br></=
span><span style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0=
,0,0);background-color:transparent;font-variant-numeric:normal;font-variant=
-east-asian:normal;font-variant-alternates:normal;vertical-align:baseline">=
<br></span><span style=3D"font-size:11pt;font-family:Arial,sans-serif;color=
:rgb(0,0,0);background-color:transparent;font-variant-numeric:normal;font-v=
ariant-east-asian:normal;font-variant-alternates:normal;vertical-align:base=
line">We=E2=80=99ve also made a video explaining this protocol</span><span =
style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0);backg=
round-color:transparent;font-variant-numeric:normal;font-variant-east-asian=
:normal;font-variant-alternates:normal;vertical-align:baseline"><br></span>=
<span style=3D"font-size:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0)=
;background-color:transparent;font-variant-numeric:normal;font-variant-east=
-asian:normal;font-variant-alternates:normal;vertical-align:baseline"><br><=
/span><a href=3D"https://starkware.co/blog/avihu-levy-bitcoin-horizons-from=
-op_cat-to-covenants-hong-kong/" style=3D"text-decoration-line:none"><span =
style=3D"font-size:11pt;font-family:Arial,sans-serif;background-color:trans=
parent;font-variant-numeric:normal;font-variant-east-asian:normal;font-vari=
ant-alternates:normal;text-decoration-line:underline;vertical-align:baselin=
e">https://starkware.co/blog/avihu-levy-bitcoin-horizons-from-op_cat-to-cov=
enants-hong-kong/</span><span style=3D"font-size:11pt;font-family:Arial,san=
s-serif;background-color:transparent;font-variant-numeric:normal;font-varia=
nt-east-asian:normal;font-variant-alternates:normal;text-decoration-line:un=
derline;vertical-align:baseline"><br><br></span></a></p><p dir=3D"ltr" styl=
e=3D"line-height:1.38;margin-top:0pt;margin-bottom:0pt"><span style=3D"font=
-size:11pt;font-family:Arial,sans-serif;color:rgb(0,0,0);background-color:t=
ransparent;font-weight:700;font-variant-numeric:normal;font-variant-east-as=
ian:normal;font-variant-alternates:normal;vertical-align:baseline">Delving =
Bitcoin post with more details:</span></p></span><br><a href=3D"https://del=
vingbitcoin.org/t/collidervm-protocol-for-computation-and-l2-bridges/1662">=
https://delvingbitcoin.org/t/collidervm-protocol-for-computation-and-l2-bri=
dges/1662</a><div><br></div></div>
<p></p>
-- <br />
You received this message because you are subscribed to the Google Groups &=
quot;Bitcoin Development Mailing List" group.<br />
To unsubscribe from this group and stop receiving emails from it, send an e=
mail to <a href=3D"mailto:bitcoindev+unsubscribe@googlegroups.com">bitcoind=
ev+unsubscribe@googlegroups.com</a>.<br />
To view this discussion visit <a href=3D"https://groups.google.com/d/msgid/=
bitcoindev/CAF0T6Xhf%3DQb%2BB-3nBtR1Oiyk3gOO%3Do-8jdT0cJ6fRH%3D2azQvAg%40ma=
il.gmail.com?utm_medium=3Demail&utm_source=3Dfooter">https://groups.google.=
com/d/msgid/bitcoindev/CAF0T6Xhf%3DQb%2BB-3nBtR1Oiyk3gOO%3Do-8jdT0cJ6fRH%3D=
2azQvAg%40mail.gmail.com</a>.<br />
--000000000000267d6d06344e4762--
|
