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DIMACS Theory of Computing Seminar

Supercritical Space-Width Trade-offs for Resolution

Location:  Other - CoRE 301
Date & time: Wednesday, 12 October 2016 at 11:00AM - 11:11AM

Jakob Nordstrom, KTH Stockholm: We show that there are CNF formulas which can be refuted in resolution in both small space and small width, but for which any small-width resolution proof must have space exceeding by far the linear worst-case upper bound. This significantly strengthens the space-width trade-offs in [Ben-Sasson '09], and provides one more example of trade-offs in the supercritical' regime above worst case recently identified by [Razborov '16]. We obtain our results by using Razborov's new hardness condensation technique and combining it with the space lower bounds in [Ben-Sasson and Nordström '08].

This is joint work with Christoph Berkholz.'

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