The Unique Satisfiability Problem from a Membrane Computing Perspective

Complexity class DP is the class of “differences” of any two languages in NP. It verifies that NP[ co-NP DP PNP, where PNP is the second level of the polynomial hierarchy, specifically, it is the class of languages decidable by a deterministic polynomial-time Turing machine having access to an NP or...

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Detalles Bibliográficos
Autores: Orellana Martín, David, Valencia Cabrera, Luis, Riscos Núñez, Agustín, Pérez Jiménez, Mario de Jesús
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/107738
Acceso en línea:https://hdl.handle.net/11441/107738
Access Level:acceso abierto
Palabra clave:Complexity class DP
Polarizationless P systems with active membranes
Cooperative rules
UNIQUE SAT problem
Descripción
Sumario:Complexity class DP is the class of “differences” of any two languages in NP. It verifies that NP[ co-NP DP PNP, where PNP is the second level of the polynomial hierarchy, specifically, it is the class of languages decidable by a deterministic polynomial-time Turing machine having access to an NP oracle. The unique sastifiability problem (UNIQUE SAT) is a well known DP problem which has been proved to be co-NPhard. In this paper, a uniform and polynomial time solution for the UNIQUE SAT problem is given by a family of polarizationless P systems with active membranes and division rules only for elementary membranes, without dissolution rules but using minimal cooperation and minimal production in object evolution rules.