sipa changed the topic of #bitcoin-wizards to: This channel is for discussing theoretical ideas with regard to cryptocurrencies, not about short-term Bitcoin development | http://bitcoin.ninja/ | This channel is logged. | For logs and more information, visit http://bitcoin.ninja
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<digi_james>
sipa: Hello. I am reviewing the Tapscript BIP and confused as why CHECKSIGADD is necessary, rather than reinterpreting CHECKMULTISIG for Schnorr signatures in witness. The write-up suggests ability to batch-verify, but unsure why this is so ... thanks
<sipa>
digi_james: batch verifiabioity requires that signature validation never fails
<sipa>
checkmultisig tries multiple combinations of key/sog mappings until enough succeed
<sipa>
for batching you need to know ahead of time which ones are expected to sicceed
<sipa>
an alternative was to repurpose CMS, but make it also consume a bitmap stating which keys a signature is provided for
<sipa>
but that's fairly complicated, a big deviation from the existing CMS anyway, and not all that much better than what's possible with CSA
<digi_james>
Ah understood, wasnt aware of the key/sig mappings of legacy CMS. What is the CScriptNum n for? (required for CSA)
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<sipa>
CSA basically increments a number
<sipa>
by 0 or 1, based on whether a valid sig is provided or not
<sipa>
so instead of needing to do "key CS SWAP key CS ADD SWAP key CS ADD n EQUAL", you can do "key CS key CSA key CSA n EQUAL"
<digi_james>
Would the script then look like this: <pubkey_1> CHECKSIG ... <pubkey_2> CHECKSIGADD ... <pubkey_n> CHECKSIGADD .. then check top stack counter is higher than n in n-of-m?
<digi_james>
*<pubkey_m>
<sipa>
yup
<sipa>
except you can check whether it's exactly equal to the threshold
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<digi_james>
Right ... understood. I pulled your taproot branch and trying to construct taproot key and script spends with taproot_construct. Thanks for the help.
<sipa>
yw!
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