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FSTTCS
2008
Springer
13 years 6 months ago
Complexity Analysis of Term Rewriting Based on Matrix and Context Dependent Interpretations
For a given (terminating) term rewriting system one can often estimate its derivational complexity indirectly by looking at the proof method that established termination. In this s...
Georg Moser, Andreas Schnabl, Johannes Waldmann
ESSLLI
2009
Springer
13 years 3 months ago
Cdiprover3: A Tool for Proving Derivational Complexities of Term Rewriting Systems
This paper describes cdiprover3 a tool for proving termination of term rewrite systems by polynomial interpretations and context dependent interpretations. The methods used by cdip...
Andreas Schnabl
SOFSEM
2010
Springer
14 years 2 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
FOSSACS
2004
Springer
13 years 10 months ago
Polynomials for Proving Termination of Context-Sensitive Rewriting
Abstract. We show how to generate well-founded and stable term orderings based on polynomial interpretations over the real numbers. Monotonicity (another usual requirement in termi...
Salvador Lucas
CADE
2008
Springer
14 years 5 months ago
Automated Complexity Analysis Based on the Dependency Pair Method
In this paper, we present a variant of the dependency pair method for analysing runtime complexities of term rewrite systems automatically. This method is easy to implement, but si...
Nao Hirokawa, Georg Moser