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atalog: A logic language for expressing search and optimization problems

Published online by Cambridge University Press:  18 January 2010

SERGIO GRECO
Affiliation:
Dipartimento di Elettronica Informatica e Sistemistica (DEIS), Università della Calabria, 87036 Rende, Italy (e-mail: greco@deis.unical.it, cmolinaro@deis.unical.it, irina@deis.unical.it, zumpano@deis.unical.it)
CRISTIAN MOLINARO
Affiliation:
Dipartimento di Elettronica Informatica e Sistemistica (DEIS), Università della Calabria, 87036 Rende, Italy (e-mail: greco@deis.unical.it, cmolinaro@deis.unical.it, irina@deis.unical.it, zumpano@deis.unical.it)
IRINA TRUBITSYNA
Affiliation:
Dipartimento di Elettronica Informatica e Sistemistica (DEIS), Università della Calabria, 87036 Rende, Italy (e-mail: greco@deis.unical.it, cmolinaro@deis.unical.it, irina@deis.unical.it, zumpano@deis.unical.it)
ESTER ZUMPANO
Affiliation:
Dipartimento di Elettronica Informatica e Sistemistica (DEIS), Università della Calabria, 87036 Rende, Italy (e-mail: greco@deis.unical.it, cmolinaro@deis.unical.it, irina@deis.unical.it, zumpano@deis.unical.it)

Abstract

This paper presents a logic language for expressing search and optimization problems. Specifically, first a language obtained by extending (positive) DATALOG with intuitive and efficient constructs (namely, stratified negation, constraints, and exclusive disjunction) is introduced. Next, a further restricted language only using a restricted form of disjunction to define (nondeterministically) subsets (or partitions) of relations is investigated. This language, called atalog, captures the power of DATALOG¬ in expressing search and optimization problems. A system prototype implementing atalog is presented. The system translates atalog queries into Optimization Programming Language (OPL) programs which are executed by the ILOG OPL Development Studio. Our proposal combines easy formulation of problems, expressed by means of a declarative logic language, with the efficiency of the ILOG System. Several experiments show the effectiveness of this approach.

Type
Regular Papers
Copyright
Copyright © Cambridge University Press 2010

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