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Electronic Colloquium on Computational Complexity

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TR15-059 | 10th April 2015
Olaf Beyersdorff, Leroy Chew, Meena Mahajan, Anil Shukla

Feasible Interpolation for QBF Resolution Calculi

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 ... more >>>


TR15-058 | 1st April 2015
Peng Cui

Strengthened Hardness for Approximating Minimum Unique Game and Small Set Expansion

In this paper, the author puts forward a variation of Feige's Hypothesis, which claims that it is hard on average refuting Unbalanced Max 3-XOR under biased assignments on a natural distribution. Under this hypothesis, the author strengthens the previous known hardness for approximating Minimum Unique Game, $5/4-\epsilon$, by proving that ... more >>>


TR15-057 | 13th April 2015
Anup Rao, Makrand Sinha

Simplified Separation of Information and Communication

Revisions: 3

We give an example of a boolean function whose information complexity is exponentially
smaller than its communication complexity. Our result simplifies recent work of Ganor, Kol and
Raz (FOCS'14, STOC'15).

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