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RTA
2004
Springer
14 years 27 days ago
A Type-Based Termination Criterion for Dependently-Typed Higher-Order Rewrite Systems
Several authors devised type-based termination criteria for ML-like languages allowing non-structural recursive calls. We extend these works to general rewriting and dependent type...
Frédéric Blanqui
CADE
2008
Springer
13 years 9 months ago
Automated Implicit Computational Complexity Analysis (System Description)
Recent studies have provided many characterisations of the class of polynomial time computable functions through term rewriting techniques. In this paper we describe a (fully autom...
Martin Avanzini, Georg Moser, Andreas Schnabl
RTA
2005
Springer
14 years 1 months ago
On Tree Automata that Certify Termination of Left-Linear Term Rewriting Systems
We present a new method for proving termination of term rewriting systems automatically. It is a generalization of the match bound method for string rewriting. To prove that a term...
Alfons Geser, Dieter Hofbauer, Johannes Waldmann, ...
RTA
2005
Springer
14 years 1 months ago
Universal Algebra for Termination of Higher-Order Rewriting
Abstract. We show that the structures of binding algebras and Σmonoids by Fiore, Plotkin and Turi are sound and complete models of Klop’s Combinatory Reduction Systems (CRSs). T...
Makoto Hamana
BIRTHDAY
2005
Springer
14 years 1 months ago
Reduction Strategies for Left-Linear Term Rewriting Systems
Huet and L´evy (1979) showed that needed reduction is a normalizing strategy for orthogonal (i.e., left-linear and non-overlapping) term rewriting systems. In order to obtain a de...
Yoshihito Toyama