Multi-modal systems of restricted depth

They are presented as extensions of the classical propositional calculus, the hierarchy of deductive systems SMM – n with n> 1. SMM – n is the multi – modal system of depth – n. The SMM – 1 system is the classic propositional calculation. The SMM– (n + 1) system can be seen as the result of apply...

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Detalhes bibliográficos
Autor: Sierra A., Manuel
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Colombia
Recursos:Universidad EAFIT
Repositorio:Repositorio EAFIT
Idioma:español
OAI Identifier:oai:repository.eafit.edu.co:10784/14524
Acesso em linha:http://hdl.handle.net/10784/14524
Access Level:acceso abierto
Palavra-chave:Multi-Modal Logic
Reasoners With Restrictions
Language With Restrictions
Lógica Multi–Modal
Razonadores Con Restricciones
Lenguaje Con Restricciones
Descrição
Resumo:They are presented as extensions of the classical propositional calculus, the hierarchy of deductive systems SMM – n with n> 1. SMM – n is the multi – modal system of depth – n. The SMM – 1 system is the classic propositional calculation. The SMM– (n + 1) system can be seen as the result of applying the rule of need, associated with reasoners with sufficient reasoning ability, once to the SMM – n system theorems. The SMM system results from the meeting of the hierarchy systems, and can be seen as the multi-modal Km system of logic with restrictions. SMM-n systems are characterized with a Kripke-style semantics, in which the length of the possible world chains is restricted.