Depth-First Reasoning on Trees



Título del documento: Depth-First Reasoning on Trees
Revue: Computación y Sistemas
Base de datos: PERIÓDICA
Número de sistema: 000423256
ISSN: 1405-5546
Autores: 1
2
2
3
Instituciones: 1Universidad Veracruzana, Veracruz. México
2Consejo Nacional de Ciencia y Tecnología, Ciudad de México. México
3Universidad Politécnica de Puebla, Puebla. México
Año:
Periodo: Ene-Mar
Volumen: 22
Número: 1
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Aplicado, descriptivo
Resumen en inglés The μ-calculus is an expressive modal logic with least and greatest fixed-point operators. This formalism encompasses many temporal, program and description logics, and it has been widely applied in a broad range of domains, such as, program verification, knowledge representation and concurrent pervasive systems. In this paper, we propose a satisfiability algorithm for the μ-calculus extended with converse modalities and interpreted on unranked trees. In contrast with known satisfiability algorithms, our proposal is based on a depth-first search. We prove the algorithm to be correct (sound and complete) and optimal. We also describe an implementation. The extension of the μ-calculus with converse modalities allows to efficiently characterize standard reasoning problems (emptiness, containment and equivalence) of XPath queries. We also describe several query reasoning experiments, which shows our proposal to be competitive in practice with known implementations
Disciplinas: Ciencias de la computación,
Matemáticas
Palabras clave: Procesamiento de datos,
Matemáticas aplicadas,
Cálculo,
Razonamiento automatizado,
Algoritmos
Keyword: Data processing,
Applied mathematics,
Calculus,
Automated reasoning,
Algorithms
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