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RTA
2010
Springer
13 years 9 months ago
Polynomial Interpretations over the Reals do not Subsume Polynomial Interpretations over the Integers
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. They come in various flavors: polynomial interpretations with real, rational and...
Friedrich Neurauter, Aart Middeldorp
CADE
2010
Springer
13 years 9 months ago
Monotonicity Criteria for Polynomial Interpretations over the Naturals
Polynomial interpretations are a useful technique for proving termination of term rewrite systems. In an automated setting, termination tools are concerned with parametric polynomi...
Friedrich Neurauter, Aart Middeldorp, Harald Zankl
SOFSEM
2010
Springer
14 years 7 months ago
Improved Matrix Interpretation
We present a new technique to prove termination of Term Rewriting Systems, with full automation. A crucial task in this context is to find suitable well-founded orderings. A popul...
Pierre Courtieu, Gladys Gbedo, Olivier Pons
LPAR
2010
Springer
13 years 8 months ago
Revisiting Matrix Interpretations for Polynomial Derivational Complexity of Term Rewriting
Matrix interpretations can be used to bound the derivational complexity of term rewrite systems. In particular, triangular matrix interpretations over the natural numbers are known...
Friedrich Neurauter, Harald Zankl, Aart Middeldorp
ISAAC
2010
Springer
240views Algorithms» more  ISAAC 2010»
13 years 8 months ago
Interpretation of Stream Programs: Characterizing Type 2 Polynomial Time Complexity
We study polynomial time complexity of type 2 functionals. For that purpose, we introduce a first order functional stream language. We give criteria, named well-founded, on such pr...
Hugo Férée, Emmanuel Hainry, Mathieu...