Cooperative P Systems and the P Versus NP Problem

The P versus NP problem is undoubtedly the most important open question in computer science. Frontiers of tractability or efficiency expressed by means of syntactic or semantic ingredients in the framework of Membrane Computing, an unconventional computing paradigm, can bring a new approach to tackl...

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Detalles Bibliográficos
Autores: Valencia Cabrera, Luis, Martínez del Amor, Miguel Ángel, Orellana Martín, David, Pérez Hurtado de Mendoza, Ignacio, Pérez Jiménez, Mario de Jesús
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/127678
Acceso en línea:https://hdl.handle.net/11441/127678
Access Level:acceso abierto
Palabra clave:Membrane computing
P systems with active membranes
Cooperative rules
the P versus NP problem
SAT problem
Descripción
Sumario:The P versus NP problem is undoubtedly the most important open question in computer science. Frontiers of tractability or efficiency expressed by means of syntactic or semantic ingredients in the framework of Membrane Computing, an unconventional computing paradigm, can bring a new approach to tackle P versus NP. In this context, the role of the cooperation of objects to trigger rewriting rules is analysed in order to obtain this kind of borderlines. Besides, a relationship among cooperative rewriting rules and instances of 2–SAT problem and 3–SAT problem is highlighted and their connections with results of computational complexity theory are described