A Time-Space Tradeoff for the Sumcheck Prover

This blog-post is a short introduction to our new work: “A Time-Space Tradeoff for the Sumcheck Prover”. This is joint work with Alessandro Chiesa, Elisabetta Fedele, Andrew Zitek-Estrada, and the full version is available on ePrint. Code accompanying this work can be found at space-efficient-sumcheck. The sumcheck protocol [LFKN92]1 is an interactive protocol between a prover and a verifier that allows a verifier to succinctly check claims of the form $$ \sum_{\mathbf{b} \in \{0, 1\}^n} p(\mathbf{b}) = \gamma \enspace....

February 2024 · Alessandro Chiesa, Elisabetta Fedele, Giacomo Fenzi, Andrew Zitek-Estrada