Complexity Analysis of Term Rewriting Based on Matrix and Context Dependent Interpretations

Georg Moser, Andreas Schnabl, Johannes Waldmann, Marc Herbstritt
2008 Foundations of Software Technology and Theoretical Computer Science  
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 spirit we investigate two instances of the interpretation method: matrix interpretations and context dependent interpretations. We introduce a subclass of matrix interpretations, denoted as triangular matrix interpretations, which induce polynomial derivational complexity and establish tight correspondence results
more » ... en a subclass of context dependent interpretations and restricted triangular matrix interpretations. The thus obtained new results are easy to implement and considerably extend the analytic power of existing results. We provide ample numerical data for assessing the viability of the method.
doi:10.4230/lipics.fsttcs.2008.1762 dblp:conf/fsttcs/MoserSW08 fatcat:ntpolclienacfphg7qdc2hptya