Show HN: ZkGolf
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Zero-Knowledge Proofs (ZKPs) let an untrusted proved show that computation was executed correctly without revealing the inputs to the verifier.
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However to prove anything, the computation first has to be expressed as a circuit: a system of polynomial equations (constraints) over a finite field.
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Circuits are the assembly language of zk and every constraint costs prover (and sometimes verifier) time, so production circuits are aggressively hand-optimized.Over the last months, we have been experimenting with writing formal specifications instead and letting LLMs produce the circuits: as long as they could prove that their implementation was correct.
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It started with SHA-256: we hand wrote a specification in Lean for SHA-256 compression, and then we asked LLMs to write the circuit, targeting R1CS arithmetization and large fields.It took a few hours of work for Opus 4.7, and some light steering into the right direction, but in the end the model came up with a reasonable implementation.
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