Functional Commitments

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Pratyush Mishra (University of Pennsylvania)
https://simons.berkeley.edu/talks/pratyush-mishra-university-pennsylvania-2025-07-14
Proofs

Functional commitment (FC) schemes are a key primitive in the construction of efficient succinct argument systems. At a high level, FC schemes enable committing to a message, and then later proving the correctness of evaluations of functions over the committed message.

Popular examples include polynomial commitments, vector commitments, and linear-function commitments.

In this talk, I will introduce FC schemes, discuss recent progress on "correct" definitions for them, and provide representative constructions.