A weak logic with the axiom mingle lacking the variable-sharing property

[EN] As it is well known, Relevance Logic R plus the axiom mingle (R-Mingle) does not have the variable-sharing property (vsp). The aim of this paper is to improve this result by defining a weak logic with the axiom mingle and not included in minimal logic BM lacking the vsp.

Detalles Bibliográficos
Autores: Robles Vázquez, Gemma, Salto Alemany, Francisco, Méndez Rodríguez, José Manuel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:España
Institución:Universidad de León
Repositorio:BULERIA. Repositorio Institucional de la Universidad de León
OAI Identifier:oai:buleria.unileon.es:10612/25819
Acceso en línea:https://hdl.handle.net/10612/25819
Access Level:acceso abierto
Palabra clave:Lógica
Relevant logics
Mingle axiom
Variable-sharing property
11 Lógica
Descripción
Sumario:[EN] As it is well known, Relevance Logic R plus the axiom mingle (R-Mingle) does not have the variable-sharing property (vsp). The aim of this paper is to improve this result by defining a weak logic with the axiom mingle and not included in minimal logic BM lacking the vsp.