Safra Lab

Tel Aviv University

- · Israel

ERC-funded
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ERC Advanced Grant · 2018

Challenging Computational Infeasibility: PCP and Boolean functions

Computer Science, in particular, Analysis of Algorithms and Computational-Complexity theory, classify algorithmic-problems into feasible ones and those that cannot be efficiently-solved. Many fundamental problems were shown NP-hard, therefore, unless P=NP, they are infeasible. Consequently, research efforts shifted towards approximation algorithms, which find close-to-optimal solutions for NP-hard optimization problems. The PCP Theorem and its application to infeasibility of approximation establish that, unless P=NP, there are no efficient approximation algorithms for numerous classical problems; research that won the authors --the PI included-- the 2001 Godel prize. To show infeasibility…

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