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CORR
2011
Springer
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12 years 11 months ago
Termination Proofs in the Dependency Pair Framework May Induce Multiple Recursive Derivational Complexity
We study the complexity of rewrite systems shown terminating via the dependency pair framework using processors for reduction pairs, dependency graphs, or the subterm criterion. T...
Georg Moser, Andreas Schnabl
LPAR
2004
Springer
13 years 9 months ago
The Dependency Pair Framework: Combining Techniques for Automated Termination Proofs
The dependency pair approach is one of the most powerful techniques for automated termination proofs of term rewrite systems. Up to now, it was regarded as one of several possible ...
Jürgen Giesl, René Thiemann, Peter Sch...
LOPSTR
2009
Springer
13 years 10 months ago
Goal-Directed and Relative Dependency Pairs for Proving the Termination of Narrowing
In this work, we first consider a goal-oriented extension of the dependency pair framework for proving termination w.r.t. a given set of initial terms. Then, we introduce a new re...
José Iborra, Naoki Nishida, Germán V...
CADE
2009
Springer
14 years 4 months ago
Beyond Dependency Graphs
The dependency pair framework is a powerful technique for proving termination of rewrite systems. One of the most frequently used methods within the dependency pair framework is t...
Martin Korp, Aart Middeldorp