The consequences of eliminating NP solutions
نویسندگان
چکیده
منابع مشابه
The Consequences of Eliminating NP Solutions
Given a function based on the computation of an NP machine, can one in general eliminate some solutions? That is, can one in general decrease the ambiguity? This simple question remains, even after extensive study by many researchers over many years, mostly unanswered. However, complexity-theoretic consequences and enabling conditions are known. In this tutorial-style article we look at some of...
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We prove the following results: (i) PV proves NP ⊆ P/poly iff PV proves coNP ⊆ NP/O(1). (ii) If PV proves NP ⊆ P/poly then PV proves that the Polynomial Hierarchy collapses to the Boolean Hierarchy. (iii) S2 proves NP ⊆ P/poly iff S 1 2 proves coNP ⊆ NP/O(log n). (iv) If S2 proves NP ⊆ P/poly then S 1 2 proves that the Polynomial Hierarchy collapses to P[log n]. (v) If S2 proves NP ⊆ P/poly the...
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ژورنال
عنوان ژورنال: Computer Science Review
سال: 2008
ISSN: 1574-0137
DOI: 10.1016/j.cosrev.2008.02.001