The University of Southampton
University of Southampton Institutional Repository

A Hybrid Intuitionistic Logic: Semantics and Decidability

Chadha, R., Macedonio, D. and Sassone, V. (2006) A Hybrid Intuitionistic Logic: Semantics and Decidability Journal of Logic and Computation, 16, (1), pp. 27-59.

Record type: Article

Abstract

An intuitionistic, hybrid modal logic suitable for reasoning about distribution of resources was introduced by Jia and Walker. The modalities of the logic allow validation of properties in a particular place, in some place and in all places. We give a sound and complete Kripke semantics for the logic extended with disjunctive connectives. The extended logic can be seen as an instance of Hybrid IS5. We also give a sound and complete birelational semantics, and show that it enjoys the finite model property: if a judgement is not valid in the logic, then there is a finite birelational counter-model. Hence, we prove that the logic is decidable.

PDF dllFinModFin.pdf - Other
Download (235kB)

More information

Published date: 2006
Additional Information: To appear
Keywords: spatial distribution of resources, spatial modalities, Kripke and birelational semantics, soundness and completeness, finite-model property
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 261850
URI: http://eprints.soton.ac.uk/id/eprint/261850
PURE UUID: 9a48c249-eefa-4a12-94b5-1165d0b22d28

Catalogue record

Date deposited: 27 Jan 2006
Last modified: 18 Jul 2017 08:58

Export record

Contributors

Author: R. Chadha
Author: D. Macedonio
Author: V. Sassone

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×