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Research interests in general, i try to understand what is easy and what is hard to compute, independently of any particular computer A new algorithm for optimal constraint satisfaction and its implications ryan williams∗ computer science department carnegie mellon university pittsburgh, pa 15213 abstract I work in algorithm design and complexity theory, and i especially like connections between the two subjects

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I think about many questions, but a few of them haunt me more than others The main idea is to first relativize theorem 1.1 to allow parallel access to an np oracle both in the upper bound and in the uniformity bound, and then to strengthen the upper bound using an idea of fortnow, santhanam and williams [fsw09]. Can the existence of an algorithm.

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Richard ryan williams mit csail, 32 vassar st., cambridge, ma 02139 email If you are unable to submit your homework because of extenuating circumstances such as a family/medical emergency, please have s^3 contact ryan or the tas about it (asap). To illustrate, applying known algorithms for satisfiability of acc thr circuits [r