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LPNMR
2011
Springer
12 years 7 months ago
Communicating ASP and the Polynomial Hierarchy
Communicating answer set programming is a framework to represent and reason about the combined knowledge of multiple agents using the idea of stable models. The semantics and expre...
Kim Bauters, Steven Schockaert, Dirk Vermeir, Mart...
IANDC
2006
83views more  IANDC 2006»
13 years 4 months ago
Implicit complexity over an arbitrary structure: Quantifier alternations
We provide machine-independent characterizations of some complexity classes, over an arbitrary structure, in the model of computation proposed by L. Blum, M. Shub and S. Smale. We...
Olivier Bournez, Felipe Cucker, Paulin Jacob&eacut...
COCO
2008
Springer
91views Algorithms» more  COCO 2008»
13 years 6 months ago
Amplifying ZPP^SAT[1] and the Two Queries Problem
This paper shows a complete upward collapse in the Polynomial Hierarchy (PH) if for ZPP, two queries to a SAT oracle is equivalent to one query. That is, ZPPSAT[1] = ZPPSAT [2] = ...
Richard Chang, Suresh Purini
COCO
1991
Springer
173views Algorithms» more  COCO 1991»
13 years 7 months ago
On the Random-Self-Reducibility of Complete Sets
Abstract. In this paper, we generalize the previous formal de nitions of random-self-reducibility. We show that, even under our very general de nition, sets that are complete for a...
Joan Feigenbaum, Lance Fortnow
COCO
1990
Springer
106views Algorithms» more  COCO 1990»
13 years 8 months ago
The Boolean Hierarchy and the Polynomial Hierarchy: a Closer Connection
We show that if the Boolean hierarchy collapses to level k, then the polynomial hierarchy collapses to BH3(k), where BH3(k) is the kth level of the Boolean hierarchy over P 2 . Th...
Richard Chang, Jim Kadin
COCO
1989
Springer
97views Algorithms» more  COCO 1989»
13 years 8 months ago
On the Structure of Bounded Queries to Arbitrary NP Sets
Kadin [6] showed that if the Polynomial Hierarchy (PH) has infinitely many levels, then for all k, PSAT[k] ⊂ PSAT[k+1]. This paper extends Kadin’s technique and shows that a p...
Richard Chang