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» The Rewriting Calculus as a Combinatory Reduction System
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RTA
2005
Springer
13 years 11 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
ACTA
2005
101views more  ACTA 2005»
13 years 5 months ago
A general framework for types in graph rewriting
A general framework for typing graph rewriting systems is presented: the idea is to statically derive a type graph from a given graph. In contrast to the original graph, the type g...
Barbara König
BIRTHDAY
2005
Springer
13 years 11 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
CORR
2006
Springer
110views Education» more  CORR 2006»
13 years 5 months ago
Definitions by Rewriting in the Calculus of Constructions
Abstract : The main novelty of this paper is to consider an extension of the Calculus of Constructions where predicates can be defined with a general form of rewrite rules. We prov...
Frédéric Blanqui
RTA
2004
Springer
13 years 11 months 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