Feasible Interpolation for QBF Resolution Calculi [chapter]

Olaf Beyersdorff, Leroy Chew, Meena Mahajan, Anil Shukla
2015 Lecture Notes in Computer Science  
In sharp contrast to classical proof complexity we are currently short of lower bound techniques for QBF proof systems. In this paper we establish the feasible interpolation technique for all resolution-based QBF systems, whether modelling CDCL or expansion-based solving. This both provides the first general lower bound method for QBF proof systems as well as largely extends the scope of classical feasible interpolation. We apply our technique to obtain new exponential lower bounds to all
more » ... tion-based QBF systems for a new class of QBF formulas based on the clique problem. Finally, we show how feasible interpolation relates to the recently established lower bound method based on strategy extraction by Beyersdorff et al. [BCJ15, BBC16]. 2012 ACM CCS: [Theory of computation]: Proof complexity.
doi:10.1007/978-3-662-47672-7_15 fatcat:bxgxi6fck5cbtc5jozl7qqdlkq