Marx, Maarten and Areces, Carlos (1997) Failure of interpolation in combined modal logics. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)

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Abstract

We investigate transfer of interpolation in such combinations of modal logic which lead to interaction of the modalities. Combining logics by taking products often blocks transfer of interpolation. The same holds for combinations by taking unions, a generalisation of Humberstone's inaccessibility logic. Viewing first order logic as a product of modal logics, we derive a strong counterexample for failure of interpolation in the finite variable fragments of first order logic. We provide a simple condition stated only in terms of frames and bisimulations which implies failure of interpolation. It's use is exemplified in a wide range of cases.

Item Type:	Report
Subjects:	B Philosophy. Psychology. Religion > BC Logic Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Computer Science
Library of Congress Subject Headings (LCSH):	Modality (Logic), Interpolation
Series Name:	Department of Computer Science research report
Publisher:	University of Warwick. Department of Computer Science
Official Date:	October 1997
Dates:	Date Event October 1997 Completion
Number:	Number 326
Number of Pages:	22
DOI:	CS-RR-326
Institution:	University of Warwick
Theses Department:	Department of Computer Science
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Funder:	Engineering and Physical Sciences Research Council (EPSRC), British Council
Grant number:	GR/K54946 (EPSRC), ARG0100049 (BC)
Related URLs:	Organisation

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