Craig Interpolation for Linear Temporal Languages

  • Amélie Gheerbrant
  • Balder ten Cate
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5771)

Abstract

We study Craig interpolation for fragments and extensions of propositional linear temporal logic (PLTL). We consider various fragments of PLTLobtained by restricting the set of temporal connectives and, for each of these fragments, we identify its smallest extension that has Craig interpolation. Depending on the underlying set of temporal operators, this extension turns out to be one of the following three logics: the fragment of PLTLhaving only the Next operator; the extension of PLTLwith a fixpoint operator μ (known as linear time μ-calculus); the fixpoint extension of the “Until-only” fragment of PLTL.

Keywords

Propositional Linear Temporal Logic Craig Interpolation Linear Time μ-Calculus 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Amélie Gheerbrant
    • 1
  • Balder ten Cate
    • 2
  1. 1.ILLCUniversiteit van AmsterdamNetherlands
  2. 2.INRIA and ENS CachanFrance

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