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» Computing Critical Pairs in 2-Dimensional Rewriting Systems
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LICS
1991
IEEE
13 years 8 months ago
Higher-Order Critical Pairs
Abstract. We extend the termination proof methods based on reduction orderings to higher-order rewriting systems `a la Nipkow using higher-order pattern matching for firing rules,...
Tobias Nipkow
CADE
2010
Springer
13 years 6 months ago
Decreasing Diagrams and Relative Termination
In this paper we use the decreasing diagrams technique to show that a left-linear term rewrite system R is confluent if all its critical pairs are joinable and the critical pair st...
Nao Hirokawa, Aart Middeldorp
AAECC
2007
Springer
148views Algorithms» more  AAECC 2007»
13 years 5 months ago
Enhancing dependency pair method using strong computability in simply-typed term rewriting
We enhance the dependency pair method in order to prove termination using recursive structure analysis in simply-typed term rewriting systems, which is one of the computational mod...
Keiichirou Kusakari, Masahiko Sakai
BIRTHDAY
2005
Springer
13 years 10 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
RTA
2009
Springer
13 years 11 months ago
Dependency Pairs and Polynomial Path Orders
Abstract. We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify the polynomial runtime comple...
Martin Avanzini, Georg Moser