Publications

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:

Sì

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. 1 , 2013 , pp. 33-69

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