LoCo—A Logic for Configuration Problems
Author(s) -
Markus Aschinger,
Conrad Drescher,
Georg Gottlob,
Heribert Vollmer
Publication year - 2014
Publication title -
acm transactions on computational logic
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.593
H-Index - 52
eISSN - 1557-945X
pISSN - 1529-3785
DOI - 10.1145/2629454
Subject(s) - axiom , bounded function , fragment (logic) , answer set programming , set (abstract data type) , theoretical computer science , computer science , mathematics , feature (linguistics) , task (project management) , horn clause , logic program , logic programming , core (optical fiber) , product (mathematics) , programming language , algebra over a field , algorithm , discrete mathematics , pure mathematics , mathematical analysis , telecommunications , linguistics , philosophy , geometry , management , economics
In this work, we present LoCo, a fragment of classical first-order logic carefully tailored for expressing technical product configuration problems. The core feature of LoCo is that the number of components used in configurations does not have to be finitely bounded explicitly, but instead is bounded implicitly through the axioms. Computing configurations is equivalent to the task of model finding. We present the language, related algorithms, and complexity results as well as a prototypical implementation via answer set programming.
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