Abstract
We introduce the framework of qualitative optimization problems (or, simply, optimization problems) to represent preference theories. The formalism uses separate modules to describe the space of outcomes to be compared (the generator) and the preferences on outcomes (the selector). We consider two types of optimization problems. They differ in the way the generator, which we model by a propositional theory, is interpreted: by the standard propositional logic semantics, and by the equilibrium-model (answer-set) semantics. Under the latter interpretation of generators, optimization problems directly generalize answer-set optimization programs proposed previously. We study strong equivalence of optimization problems, which guarantees their interchangeability within any larger context. We characterize several versions of strong equivalence obtained by restricting the class of optimization problems that can be used as extensions and establish the complexity of associated reasoning tasks. Understanding strong equivalence is essential for modular representation of optimization problems and rewriting techniques to simplify them without changing their inherent properties.
Original language | English |
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Title of host publication | 13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012 |
Pages | 188-198 |
Number of pages | 11 |
State | Published - 2012 |
Event | 13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012 - Rome, Italy Duration: Jun 10 2012 → Jun 14 2012 |
Publication series
Name | Proceedings of the International Conference on Knowledge Representation and Reasoning |
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ISSN (Print) | 2334-1025 |
ISSN (Electronic) | 2334-1033 |
Conference
Conference | 13th International Conference on the Principles of Knowledge Representation and Reasoning, KR 2012 |
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Country/Territory | Italy |
City | Rome |
Period | 6/10/12 → 6/14/12 |
Bibliographical note
Copyright:Copyright 2021 Elsevier B.V., All rights reserved.
ASJC Scopus subject areas
- Software