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Reasoning About Set Constraints Applied to Tractable Inference in Intuitionistic Logic

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Reasoning About Set Constraints Applied to Tractable Inference in Intuitionistic Logic
Id. 41629152
Idioma inglés
Titulo Reasoning About Set Constraints Applied to Tractable Inference in Intuitionistic Logic
Autor(es) Intuitionistic Logic,Thomas Drakengren,Peter Jonsson
Localización http://citeseer.ist.psu.edu/194035.html
Versión 1.0
Estado Final
Descripción Automated reasoning about sets has received a considerable amount of interest in the literature. Techniques for such reasoning have been used in, for instance, analyses of programming languages, terminological logics and spatial reasoning. In this paper, we identify a new class of set constraints where checking satisfiability is tractable (i.e. polynomial-time). We show how to use this tractability result for constructing a new tractable fragment of intuitionistic logic. Furthermore, we prove NP-completeness of several other cases of reasoning about sets. 215 1 Introduction There has been considerable interest in formalisms for describing and reasoning about sets. We begin by describing some of these. The most well-studied class of set constraints is, probably, Herbrand set constraints. Such have been suggested as a formalism for describing relationships between sets of terms of a free algebra. A positive set constraint has the form X ` Y , where X and Y are set expressions. Exam...
Tipo ps
Palabras clave Intuitionistic Logic,Thomas Drakengren,Peter Jonsson Reasoning About Set Constraints Applied to Tractable Inference in Intuitionistic Logic
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
Copyright
unrestricted
Formatos ps
Requerimientos técnicos Browser: Any
Relación [IsBasedOn] http://informatix.ida.liu.se/publications/t-phd/1997/0498/paper8.ps.gz
[References] oai:CiteSeerPSU:253393
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[References] oai:CiteSeerPSU:52386
[References] oai:CiteSeerPSU:251152
Fecha de contribución 31-mar-2009
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