Decidability of Logics Based on an Indeterministic Metric Tense Logic

Studia Logica 103 (6):1123-1162 (2015)

Yan Zhang
Hong Kong Baptist University
This paper presents two general results of decidability concerning logics based on an indeterministic metric tense logic, which can be applied to, among others, logics combining knowledge, time and agency. We provide a general Kripke semantics based on a variation of the notion of synchronized Ockhamist frames. Our proof of the decidability is by way of the finite frame property, applying subframe transformations and a variant of the filtration technique
Keywords Stit  Logic of agency  Epistemic logic  Kripke structure  Filtration  Bisimulation  Finite frame property
Categories (categorize this paper)
DOI 10.1007/s11225-015-9613-4
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 41,553
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

View all 10 references / Add more references

Citations of this work BETA

Combinations of Stit with Ought and Know.Ming Xu - 2015 - Journal of Philosophical Logic 44 (6):851-877.

Add more citations

Similar books and articles

Decidability of an Xstit Logic.Gillman Payette - 2014 - Studia Logica 102 (3):577-607.
Tense Logic Without Tense Operators.Frank Wolter - 1996 - Mathematical Logic Quarterly 42 (1):145-171.
Properties of Tense Logics.Frank Wolter - 1996 - Mathematical Logic Quarterly 42 (1):481-500.
The Finite Model Property in Tense Logic.Frank Wolter - 1995 - Journal of Symbolic Logic 60 (3):757-774.
Logics of Kripke Meta-Models.Sergey Babenyshev & Vladimir Rybakov - 2010 - Logic Journal of the IGPL 18 (6):823-836.
Products of Modal Logics, Part 1.D. Gabbay & V. Shehtman - 1998 - Logic Journal of the IGPL 6 (1):73-146.
On Extensions of Intermediate Logics by Strong Negation.Marcus Kracht - 1998 - Journal of Philosophical Logic 27 (1):49-73.
Linear Kripke Frames and Gödel Logics.Arnold Beckmann & Norbert Preining - 2007 - Journal of Symbolic Logic 72 (1):26 - 44.


Added to PP index

Total views
21 ( #394,146 of 2,248,942 )

Recent downloads (6 months)
3 ( #605,827 of 2,248,942 )

How can I increase my downloads?


My notes

Sign in to use this feature