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Electronic Colloquium on Computational Complexity

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TR14-132 | 23rd October 2014
Diptarka Chakraborty, Elazar Goldenberg, Michal Koucky

Information Complexity for Multiparty Communication

Revisions: 2

In this paper, we have studied the information complexity for the communication model involving more than two parties. A lot of work has already been done on the information complexity in two party communication model and the question of extending the definition of information complexity to the multiparty communication model ... more >>>


TR14-131 | 7th October 2014
Olaf Beyersdorff, Leroy Chew, Karteek Sreenivasaiah

A game characterisation of tree-like Q-Resolution size

We provide a characterisation for the size of proofs in tree-like Q-Resolution by a Prover-Delayer game, which is inspired by a similar characterisation for the proof size in classical tree-like Resolution. This gives the first successful transfer of one of the lower bound techniques for classical proof systems to QBF ... more >>>


TR14-130 | 17th October 2014
Ankit Gupta

Algebraic Geometric Techniques for Depth-4 PIT & Sylvester-Gallai Conjectures for Varieties

Revisions: 1

We present an algebraic-geometric approach for devising a deterministic polynomial time blackbox identity testing (PIT) algorithm for depth-4 circuits with bounded top fanin. Using our approach, we devise such an algorithm for the case when such circuits have bounded bottom fanin and satisfy a certain non-degeneracy condition. In particular, we ... more >>>



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