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Developing logical theories for several NP search classes

Thursday 29th March 2012 - 16:30 to 17:30
INI Seminar Room 1
We present finitely-axiomatizable two-sorted first-order theories associated with several NP search classes in the sense that search problems in a class are precisely those that are provable total in the associated theory. These theories are in the same vein as the family of theories associated with many subclasses of polytime, developed earlier by Nguyen and Cook. We consider proving several theorems in these new theories. (Joint work with Antonina Kolokolova.)
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons