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On Natural Deduction in First-Order Fixpoint Logics
1996 (English)In: Fundamenta Informaticae, ISSN 0169-2968, Vol. 26, no 1, 81-94Article in journal (Refereed) Published
Abstract [en]

In the current paper we present a powerful technique of obtaining natural deduction proof systems for first-order fixpoint logics. The term fixpoint logics  refers collectively to a class of logics consisting of modal logics with modalities definable at meta-level by fixpoint equations on formulas. The class was found very interesting as it contains most logics of programs with e.g. dynamic logic, temporal logic and the ¯-calculus among them. In this paper we present a technique that allows us to derive automatically natural deduction systems for modal logics from fixpoint equations defining the modalities

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Engineering and Technology
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urn:nbn:se:liu:diva-74980 (URN)10.3233/FI-1996-2616 (DOI)oai:DiVA.org:liu-74980 (OAI)diva2:499794 (DiVA)
Available from2012-02-13 Created:2012-02-13 Last updated:2012-06-24

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Szalas, Andrzej
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University of Warsaw
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