The modal logic of copy and remove

We propose a logic with the dynamic modal operators copy and remove. The copy operator replicates a given model, and the remove operator removes paths in a given model. We show that the product update by an action model in dynamic epistemic logic decomposes in copy and remove operations, when we con...

Descripción completa

Detalles Bibliográficos
Autores: Areces, Carlos Eduardo, van Ditmarsch, Hans, Fervari, Raul Alberto, Schwarzentruber, Francois
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/76356
Acceso en línea:http://hdl.handle.net/11336/76356
Access Level:acceso abierto
Palabra clave:Complexity
Dynamic Epistemic Logic
Expressivity
Modal Logic
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
Descripción
Sumario:We propose a logic with the dynamic modal operators copy and remove. The copy operator replicates a given model, and the remove operator removes paths in a given model. We show that the product update by an action model in dynamic epistemic logic decomposes in copy and remove operations, when we consider action models with Boolean pre-conditions and no post-condition. We also show that copy and remove operators with paths of length 1 can be expressed by action models with post-conditions. We investigate the expressive power of the logic with copy and remove operations, together with the complexity of the satisfiability problem of some of its syntactic fragments.