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» Total Termination of Term Rewriting
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LOPSTR
2007
Springer
14 years 1 months ago
Termination Analysis of Logic Programs Based on Dependency Graphs
This paper introduces a modular framework for termination analysis of logic programming. To this end, we adapt the notions of dependency pairs and dependency graphs (which were dev...
Manh Thang Nguyen, Jürgen Giesl, Peter Schnei...
FROCOS
2007
Springer
14 years 1 months ago
Proving Termination Using Recursive Path Orders and SAT Solving
We introduce a propositional encoding of the recursive path order with status (RPO). RPO is a combination of a multiset path order and a lexicographic path order which considers pe...
Peter Schneider-Kamp, René Thiemann, Elena ...
RTA
2010
Springer
13 years 5 months ago
Polynomial Interpretations over the Reals do not Subsume Polynomial Interpretations over the Integers
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
Friedrich Neurauter, Aart Middeldorp
LPAR
2010
Springer
13 years 5 months ago
Satisfiability of Non-linear (Ir)rational Arithmetic
Abstract. We present a novel way for reasoning about (possibly ir)rational quantifier-free non-linear arithmetic by a reduction to SAT/SMT. The approach is incomplete and dedicated...
Harald Zankl, Aart Middeldorp
TCS
1998
13 years 7 months ago
Bubbles in Modularity
We provide a global technique, called neatening, for the study of modularity of left-linear Term Rewriting Systems. Objects called bubbles are identi ed as the responsibles of mos...
Massimo Marchiori