On characterization, definability and ω-saturated models
Two important classic results about modal expressivity are the Characterization and Definability theorems. We develop a general theory for modal logics below first order (in terms of expressivity) which exposes the following result: Characterization and Definability theorems hold for every (reasonab...
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paper:paper_03029743_v6916LNCS_n_p62_Carreiro2023-06-08T15:28:42Z On characterization, definability and ω-saturated models Carreiro, Facundo Matías Definability First order General theory General version Modal logic Saturated model Formal logic Characterization Two important classic results about modal expressivity are the Characterization and Definability theorems. We develop a general theory for modal logics below first order (in terms of expressivity) which exposes the following result: Characterization and Definability theorems hold for every (reasonable) modal logic whose ω models have the Hennessy-Milner property. The results are presented in a general version which is relativized to classes of models. © 2011 Springer-Verlag. Fil:Carreiro, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v6916LNCS_n_p62_Carreiro http://hdl.handle.net/20.500.12110/paper_03029743_v6916LNCS_n_p62_Carreiro |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Definability First order General theory General version Modal logic Saturated model Formal logic Characterization |
spellingShingle |
Definability First order General theory General version Modal logic Saturated model Formal logic Characterization Carreiro, Facundo Matías On characterization, definability and ω-saturated models |
topic_facet |
Definability First order General theory General version Modal logic Saturated model Formal logic Characterization |
description |
Two important classic results about modal expressivity are the Characterization and Definability theorems. We develop a general theory for modal logics below first order (in terms of expressivity) which exposes the following result: Characterization and Definability theorems hold for every (reasonable) modal logic whose ω models have the Hennessy-Milner property. The results are presented in a general version which is relativized to classes of models. © 2011 Springer-Verlag. |
author |
Carreiro, Facundo Matías |
author_facet |
Carreiro, Facundo Matías |
author_sort |
Carreiro, Facundo Matías |
title |
On characterization, definability and ω-saturated models |
title_short |
On characterization, definability and ω-saturated models |
title_full |
On characterization, definability and ω-saturated models |
title_fullStr |
On characterization, definability and ω-saturated models |
title_full_unstemmed |
On characterization, definability and ω-saturated models |
title_sort |
on characterization, definability and ω-saturated models |
publishDate |
2011 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v6916LNCS_n_p62_Carreiro http://hdl.handle.net/20.500.12110/paper_03029743_v6916LNCS_n_p62_Carreiro |
work_keys_str_mv |
AT carreirofacundomatias oncharacterizationdefinabilityandōsaturatedmodels |
_version_ |
1768542175862194176 |