slideshow 3

Logic seminar

Automating Resolution Is NP-Hard

Albert Atserias
Universitat Politècnica de Catalunya


Monday, 25. November 2019 - 13:30 to 15:00

in IM, rear building, ground floor

We show that the problem of finding a Resolution refutation that is at most polynomially longer than a shortest one is NP-hard. In the parlance of proof complexity, Resolution is not automatizable unless P = NP. Indeed, we show that it is NP-hard to distinguish between formulas that have Resolution refutations of polynomial length and those that do not have subexponential length refutations. This also implies that Resolution is not automatizable in subexponential time or quasi-polynomial time unless NP is included in SUBEXP or QP, respectively.

This is joint work with Moritz Müller