Abstract The following sections are included: Introduction Sparse Complete Sets for NP Conclusion References.
Our main result is that if there exists a sparse set S ϵ NP such that co-NP ( ̄ NPs, then the polynomial hierarchy (PH) is contained in P. Thus if there exists ...
Our main result is that if there exists a sparse set S ∈ NP such that co - NP ⊆ NP s , then the polynomial hierarchy (PH) is contained in P . Thus if there ...
The structural complexity column: Sparse complete sets for NP and the optimal collapse of the polynomial hierarchy. EATCS Bull., 32 (1987), pp. 73-81. Google ...
Questions about the polynomial-time hierarchy are studied. In particular, the questions, “Does the polynomial-time hierarchy collapse?” and “Is the union of ...
"Sparse Complete Sets for NP and the Optimal Collapses of the. Polynomial Time Hierarchy, Structural Complexity Column". Bulletin of. EATCS, 39:73-81, June ...
Oct 22, 2024 · Ogiwara and Watanabe showed that if SAT is bounded truth-table reducible to a sparse set, then P = NP. In this paper we simplify their proof ...
“The Structural Complexity Column: Sparse Complete Sets for NP and the Optimal Collapse of the Polynomial Hierarchy”, EATCS Bulletin, 32:73–81, June 1987.
Karp and Lipton proved that if nondeterministic polynomial time has sparse Turing- complete sets, then the polynomial hierarchy collapses. We establish the ...
Karp and Lipton proved that if nondeterministic polynomial time has sparse Turing-complete sets, then the polynomial hierarchy collapses. We establish the first ...