Publications

On the mosaic method for many-dimensional modal logics: a case study combining tense and modal operators  (2013)

Authors:
Carlos, Caleiro; Vigano', Luca; Volpe, Marco
Title:
On the mosaic method for many-dimensional modal logics: a case study combining tense and modal operators
Year:
2013
Type of item:
Articolo in Rivista
Tipologia ANVUR:
Articolo su rivista
Language:
Inglese
Format:
A Stampa
Referee:
Name of journal:
LOGICA UNIVERSALIS
ISSN of journal:
1661-8297
N° Volume:
7
Number or Folder:
1
Page numbers:
33-69
Keyword:
Modal Logic; Temporal Logic; Combination of Logics
Short description of contents:
We present an extension of the mosaic method aimed at capturing many-dimensional modal logics. As a proof-of-concept, we define the method for logics arising from the combination of linear tense operators with an “orthogonal” S5-like modality. We show that the existence of a model for a given set of formulas is equivalent to the existence of a suitable set of partial models, called mosaics, and apply the technique not only in obtaining a proof of decidability and a proof of completeness for the corresponding Hilbert-style axiomatization, but also in the development of a mosaic-based tableau system. We further consider extensions for dealing with the case when interactions between the two dimensions exist, thus covering a wide class of bundled Ockhamist branching-time logics, and present for them some partial results, such as a non-analytic version of the tableau system.
Product ID:
79544
Handle IRIS:
11562/435197
Deposited On:
February 3, 2014
Last Modified:
November 1, 2022
Bibliographic citation:
Carlos, Caleiro; Vigano', Luca; Volpe, Marco, On the mosaic method for many-dimensional modal logics: a case study combining tense and modal operators «LOGICA UNIVERSALIS» , vol. 7 , n. 12013pp. 33-69

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