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...
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...
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] = ...
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...
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...
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...