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  A modal fixpoint logic with chop (1999) [12 citations — 0 self]

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by Markus Muller-olm
Proc. 16th Symp. on Theoretical Aspects of Computer Science, STACS’99, volume 1563 of LNCS
http://ls5-www.cs.uni-dortmund.de/~mmo/pubs/stacs99.ps.gz
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Abstract:

Abstract. We study a logic called FLC (Fixpoint Logic with Chop) that extends the modal mu-calculus by a chop-operator and termination formulae. For this purpose formulae are interpreted by predicate transformers instead of predicates. We show that any context-free process can be characterized by an FLC-formula up to bisimulation or simulation. Moreover, we establish the following results: FLC is strictly more expressive than the modal mu-calculus; it is decidable for finite-state processes but undecidable for context-free processes; satisfiability and validity are undecidable; FLC does not have the finite-model property. 1

Citations

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1 Modal mu-calculus, model checking and Gauss elimination – Mader - 1995