Skip Navigation

Journal of Logic and Computation 2002 12(4):583-606; doi:10.1093/logcom/12.4.583
© 2002 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Heinemann, B.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Original Article

Linear Tense Logics of Increasing Sets

Bernhard Heinemann1

1 Fachbereich Informatik, FernUniversität Hagen, D–58084 Hagen, Germany. E-mail: Bernhard.Heinemann{at}fernuni-hagen.de

We provide an extension of the language of linear tense logic with future and past connectives F and P, respectively, by a modality that quantifies over the points of some set which is assumed to increase in the course of time. In this way we obtain a general framework for modelling growth qualitatively. We develop an appropriate logical system, prove a corresponding completeness and decidability result and discuss the various kinds of flow of time in the new context. We also consider decreasing sets briefly.

Keywords: Temporal reasoning; modal logics of time; modal logics of set spaces

Received 9 January 2001.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.