Immune Logics

This article is concerned with an exploration of a family of systems---called immune logics---whose main properties are, in some sense, related to those of the well-known family of infectious logics. The distinctive feature of the semantic of infectious logics is the presence of a certain ``infectio...

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Detalles Bibliográficos
Autores: Da Re, Bruno, Szmuc, Damián Enrique
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/172111
Acceso en línea:http://hdl.handle.net/11336/172111
Access Level:acceso abierto
Palabra clave:INFECTIOUS LOGICS
THREE-VALUED LOGICS
NON-CLASSICAL LOGICS
https://purl.org/becyt/ford/6.3
https://purl.org/becyt/ford/6
Descripción
Sumario:This article is concerned with an exploration of a family of systems---called immune logics---whose main properties are, in some sense, related to those of the well-known family of infectious logics. The distinctive feature of the semantic of infectious logics is the presence of a certain ``infectious´´ semantic value, i.e. a value which is a zero element for all the operations in the underlying algebraic structure. On the other hand, what is characteristic of the semantic of immune logics is to have a certain ``immune´´ value, i.e. an identity element for the binary operations in the underlying algebraic structure. In this article, we will define these structures, focusing on the 3-element case, discuss the relations between immune and infectious elements, and provide technical results regarding them, and the various logical systems defined using such semantics.