Tata Institute of Fundamental Research

Majority-3SAT in Polynomial Time

STCS Seminar
Speaker: Ratnakar Medepalli
Organiser: Ramprasad Saptharishi
Date: Friday, 14 Jul 2023, 14:00 to 15:00
Venue: A201

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Abstract:  Majority-SAT is the problem of determining whether a boolean formula evaluates to true on more than half of its assignments. Majority-SAT is known to be PP-hard. In this talk, we will see a polynomial time algorithm for Majority-3SAT, which is the problem of determining whether a 3-CNF formula evaluates to true on more than half of its assignments. The result is surprising because most SAT-related problems remain hard when restricted to their corresponding 3-CNF variant.
This is a result of Shyan Akmal and Ryan Williams from FOCS 2021.