2008 | OriginalPaper | Chapter
Deciding Innermost Loops
Authors : René Thiemann, Jürgen Giesl, Peter Schneider-Kamp
Published in: Rewriting Techniques and Applications
Publisher: Springer Berlin Heidelberg
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We present the first method to disprove
innermost
termination of term rewrite systems automatically. To this end, we first develop a suitable notion of an innermost loop. Second, we show how to detect innermost loops: One can start with any technique amenable to find loops. Then our novel procedure can be applied to decide whether a given loop is an innermost loop. We implemented and successfully evaluated our method in the termination prover
AProVE
.