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FOCS
2002
IEEE
14 years 13 days ago
A Dichotomy Theorem for Constraints on a Three-Element Set
The Constraint Satisfaction Problem (CSP) provides a common framework for many combinatorial problems. The general CSP is known to be NP-complete; however, certain restrictions on...
Andrei A. Bulatov
CORR
2007
Springer
124views Education» more  CORR 2007»
13 years 7 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
CP
2007
Springer
13 years 11 months ago
Efficient Computation of Minimal Point Algebra Constraints by Metagraph Closure
Abstract. Computing the minimal network (or minimal CSP) representation of a given set of constraints over the Point Algebra (PA) is a fundamental reasoning problem. In this paper ...
Alfonso Gerevini, Alessandro Saetti
ENTCS
2007
153views more  ENTCS 2007»
13 years 7 months ago
The Methods of Approximation and Lifting in Real Computation
The basic motivation behind this work is to tie together various computational complexity classes, whether over different domains such as the naturals or the reals, or whether de...
Manuel Lameiras Campagnolo, Kerry Ojakian
CADE
2006
Springer
14 years 7 months ago
Automatic Construction and Verification of Isotopy Invariants
Abstract. We extend our previous study of the automatic construction of isomorphic classification theorems for algebraic domains by considering the isotopy equivalence relation. Is...
Volker Sorge, Andreas Meier, Roy L. McCasland, Sim...