NP search problems in low fragments of bounded arithmetic

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NP search problems in low fragments of bounded arithmetic

We give combinatorial and computational characterizations of the NP search problems definable in the bounded arithmetic theories T 2 2 and T 3 2 . By a search problem in full generality we mean simply a binary relation R(x, y) such that ∀x∃yR(x, y) holds. The search task is: given an instance x find a solution y such that R(x, y) holds. The most important class of search problems are NP search ...

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ژورنال

عنوان ژورنال: Journal of Symbolic Logic

سال: 2007

ISSN: 0022-4812,1943-5886

DOI: 10.2178/jsl/1185803628