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Craig Interpolation for Linear Temporal Languages (2009)
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@MISC{Gheerbrant09craiginterpolation,
author = {Amélie Gheerbrant and Balder Ten Cate},
title = {Craig Interpolation for Linear Temporal Languages },
year = {2009}
}
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Abstract
We study Craig interpolation for fragments and extensions of propositional linear temporal logic (PLTL). We consider various fragments of PLTL obtained 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 PLTL having only the Next operator; the extension of PLTL with a fixpoint operator µ (known as linear time µ-calculus); the fixpoint extension of the “Until-only” fragment of PLTL.
