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» Monads and Modular Term Rewriting
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CTCS
1997
Springer
13 years 9 months ago
Monads and Modular Term Rewriting
Monads can be used to model term rewriting systems by generalising the well-known equivalence between universal algebra and monads on the category Set. In [L¨u96], this semantics ...
Christoph Lüth, Neil Ghani
ENTCS
2002
108views more  ENTCS 2002»
13 years 4 months ago
Rewriting in the partial algebra of typed terms modulo AC
We study the partial algebra of typed terms with an associative commutative and idempotent operator (typed AC-terms). The originality lies in the representation of the typing poli...
Thomas Colcombet
CCL
1994
Springer
13 years 9 months ago
On Modularity in Term Rewriting and Narrowing
We introduce a modular property of equational proofs, called modularity of normalization, for the union of term rewrite systems with shared symbols. The idea is, that every normali...
Christian Prehofer
RTA
2010
Springer
13 years 8 months ago
Higher-Order (Non-)Modularity
We show that, contrary to the situation in first-order term rewriting, almost none of the usual properties of rewriting are modular for higher-order rewriting, irrespective of the...
Claus Appel, Vincent van Oostrom, Jakob Grue Simon...
CADE
2008
Springer
14 years 5 months ago
Modularity of Confluence
We present a novel proof of Toyama's famous modularity of confluence result for term rewriting systems. Apart from being short and intuitive, the proof is modular itself in th...
Vincent van Oostrom