Martin Avanzini and Georg Moser
Information and Computation 248, pp. 22 – 55, 2016.
pdf
doi:10.1016/j.ic.2015.12.007
Abstract
In this paper we present a combination framework for the automated polynomial complexity analysis of term rewrite systems. The framework covers both derivational and runtime complexity analysis, and is employed as theoretical foundation in the automated complexity tool TCT. We present generalisations of powerful complexity techniques, notably a generalisation of complexity pairs and (weak) dependency pairs. Finally, we also present a novel technique, called dependency graph decomposition, that in the dependency pair setting greatly increases modularity.
BibTex
@article{MAGM-IC2016,title = "A combination framework for complexity",author = "Martin Avanzini and Georg Moser",journal = "Information and Computation",volume = 248,pages = "22-55",year = 2016}