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CADE
2006
Springer
14 years 8 months ago
Decidability and Undecidability Results for Nelson-Oppen and Rewrite-Based Decision Procedures
Abstract. In the context of combinations of theories with disjoint signatures, we classify the component theories according to the decidability of constraint satisability problems ...
Maria Paola Bonacina, Silvio Ghilardi, Enrica Nico...
RTA
2009
Springer
14 years 2 months ago
Loops under Strategies
Most techniques to automatically disprove termination of term rewrite systems search for a loop. Whereas a loop implies nontermination for full rewriting, this is not necessarily t...
René Thiemann, Christian Sternagel
AISC
1992
Springer
13 years 11 months ago
A Type-Coercion Problem in Computer Algebra
Abstract. An important feature of modern computer algebra systems is the support of a rich type system with the possibility of type inference. Basic features of such a type system ...
Andreas Weber
CADE
2005
Springer
14 years 8 months ago
The Decidability of the First-Order Theory of Knuth-Bendix Order
Two kinds of orderings are widely used in term rewriting and theorem proving, namely recursive path ordering (RPO) and Knuth-Bendix ordering (KBO). They provide powerful tools to p...
Ting Zhang, Henny B. Sipma, Zohar Manna
ICLP
1995
Springer
13 years 11 months ago
A Method for Implementing Equational Theories as Logic Programs
Equational theories underly many elds of computing, including functional programming, symbolic algebra, theorem proving, term rewriting and constraint solving. In this paper we sh...
Mantis H. M. Cheng, Douglas Stott Parker Jr., Maar...