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Middeldorp, Aart
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Beyond polynomials and Peano arithmetic-automation of elementary and ordinal interpretations
Zankl H., Winkler S., Middeldorp A. Journal of Symbolic Computation 69(C): 129-158, 2015. Type: Article
Goodstein sequences and theorems are very popular because of their unboundedness with respect to multiple recursive functions and derivational complexity....
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Sep 1 2015
A sequential reduction strategy
Antoy S., Middeldorp A. Theoretical Computer Science 165(1): 75-95, 1996. Type: Article
The authors simplify the proof of Kennaway’s result [1] that every almost orthogonal term rewriting system admits a computable sequential normalizing reduction strategy. First, the authors refine the usual definition of a seq...
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Apr 1 1998
Completeness of combinations of conditional constructor systems
Middeldorp A. Journal of Symbolic Computation 17(1): 3-21, 1994. Type: Article
Both completeness and semi-completeness are decomposable properties of constructor systems (also known as term rewriting systems). The principal result in this paper is that these properties are also decomposable in conditional constru...
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Sep 1 1995
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