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ALP
1992
Springer
13 years 9 months ago
On the Relation Between Primitive Recursion, Schematization and Divergence
The paper presents a new schematization of in nite families of terms called the primal grammars, based on the notion of primitive recursive rewrite systems. This schematization is...
Miki Hermann
FAC
2008
92views more  FAC 2008»
13 years 5 months ago
Capture-avoiding substitution as a nominal algebra
Substitution is fundamental to the theory of logic and computation. Is substitution something that we define on syntax on a case-by-case basis, or can we turn the idea of substitut...
Murdoch James Gabbay, Aad Mathijssen
RTA
2007
Springer
13 years 11 months ago
Proving Termination of Rewrite Systems Using Bounds
The use of automata techniques to prove the termination of string rewrite systems and left-linear term rewrite systems is advocated by Geser et al. in a recent sequence of papers. ...
Martin Korp, Aart Middeldorp
MFCS
2007
Springer
13 years 11 months ago
Transition Graphs of Rewriting Systems over Unranked Trees
We investigate algorithmic properties of infinite transition graphs that are generated by rewriting systems over unranked trees. Two kinds of such rewriting systems are studied. ...
Christof Löding, Alex Spelten
RTA
2010
Springer
13 years 9 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