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Kurtonina, Natasha and Rijke, Maarten de (1996) Directed simulations. University of Warwick. Department of Computer Science. (Department of Computer Science research report). (Unpublished)

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Abstract

Although negation-free languages are widely used in logic and computer science, relatively little is known about their expressive power. To address this issue we consider a kind of non-symmetric bisimulations called directed simulations, and use these to analyze the expressive power and model theory of negation-free modal and temporal languages. We first use them to obtain preservation, safety and definability results for a simple negation-free modal language. We then obtain analogous results for stronger negation-free languages. Finally, we extend our methods to deal with languages with non-boolean negation.

Item Type: Report
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science, Engineering and Medicine > Science > Computer Science
Library of Congress Subject Headings (LCSH): Bisimulation, Programming languages (Electronic computers), Negation (Logic)
Series Name: Department of Computer Science research report
Publisher: University of Warwick. Department of Computer Science
Official Date: June 1996
Dates:
DateEvent
June 1996Completion
Number: Number 307
Number of Pages: 27
DOI: CS-RR-307
Institution: University of Warwick
Theses Department: Department of Computer Science
Status: Not Peer Reviewed
Publication Status: Unpublished
Reuse Statement (publisher, data, author rights): N.&nbsp;Kurtonina and M.&nbsp;de Rijke, &ldquo;Directed Simulations&rdquo;, <i>Journal of Logic and Computation</i> <b>7</b>, pp.&nbsp;503-524 (1997)
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