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» Natural Rewriting for General Term Rewriting Systems
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RTA
2010
Springer
15 years 3 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...
CORR
2008
Springer
148views Education» more  CORR 2008»
14 years 10 months ago
Efficiently Simulating Higher-Order Arithmetic by a First-Order Theory Modulo
In deduction modulo, a theory is not represented by a set of axioms but by a congruence on propositions modulo which the inference rules of standard deductive systems--such as for ...
Guillaume Burel
CADE
2008
Springer
15 years 12 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
RTA
2009
Springer
15 years 6 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
RTA
2010
Springer
15 years 3 months ago
Closing the Gap Between Runtime Complexity and Polytime Computability
In earlier work, we have shown that for confluent term rewrite systems (TRSs for short), innermost polynomial runtime complexity induces polytime computability of the functions de...
Martin Avanzini, Georg Moser