Some modal logics associated to the reasoning of intelligent agents

The hierarchies of systems SCR – nT4, SCR – nT5 and SCR – nD45 are presented with n> 3, in which the notion of belief is formalized in the sense of justified belief, knowledge and conviction respectively, resulting in systems of Doxástic and epistemic logics in which the problem of logical omnisc...

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Detalles Bibliográficos
Autores: Rúa M., Gloria, Sierra A., Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Colombia
Institución:Universidad EAFIT
Repositorio:Repositorio EAFIT
Idioma:español
OAI Identifier:oai:repository.eafit.edu.co:10784/14526
Acceso en línea:http://hdl.handle.net/10784/14526
Access Level:acceso abierto
Palabra clave:Agent
Reasoner
Belief
Modal Logic
Logical Omniscience
Doxastic Logic
Epistemic Logic
Kripke Models
Agente
Razonador
Creencia
Lógica Modal
Omnisciencia Lógica
Lógica Doxástica
Lógica Epistémica
Modelos De Kripke
Descripción
Sumario:The hierarchies of systems SCR – nT4, SCR – nT5 and SCR – nD45 are presented with n> 3, in which the notion of belief is formalized in the sense of justified belief, knowledge and conviction respectively, resulting in systems of Doxástic and epistemic logics in which the problem of logical omniscience can be partially controlled. The systems are characterized with Kripke-style semantics, in which the length of the possible world chains is restricted depending on the type of reasoner. Thus, the depth of a model corresponds to the maximum length of the chains of possible worlds that appear in the model, resulting in the models of depth n being associated with the deductive systems SCR-nT4, SCR-nT5 and SCR-nD45.