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A Note on the Completeness of Kozen's Axiomatisation of the Propositional μ-Calculus

Published online by Cambridge University Press:  15 January 2014

Igor Walukiewicz
Igor Walukiewicz*
Affiliation:
Basic Research in Computer Science, Centre of the Danish National Research Foundation (BRICS), Department of Computer Science, University of Aarhus, NY Munkegade, DK-8000 Aarhus C, Denmark E-mail: igw@mimuw.edu.pl
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Abstract

The prepositional μ-calculus is an extension of the modal system K with a least fixpoint operator. Kozen posed a question about completeness of the axiomatisation of the logic which is a small extension of the axiomatisation of the modal system K. It is shown that this axiomatisation is complete.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 2 , Issue 3 , September 1996 , pp. 349 - 366
Copyright
Copyright © Association for Symbolic Logic 1996

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References

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