License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FSCD.2016.10
URN: urn:nbn:de:0030-drops-59901
Go to the corresponding LIPIcs Volume Portal

Avanzini, Martin ; Moser, Georg

Complexity of Acyclic Term Graph Rewriting

LIPIcs-FSCD-2016-10.pdf (0.6 MB)


Term rewriting has been used as a formal model to reason about the complexity of logic, functional, and imperative programs. In contrast to term rewriting, term graph rewriting permits sharing of common sub-expressions, and consequently is able to capture more closely reasonable implementations of rule based languages. However, the automated complexity analysis of term graph rewriting has received little to no attention. With this work, we provide first steps towards overcoming this situation. We present adaptions of two prominent complexity techniques from term rewriting, viz, the interpretation method and dependency tuples. Our adaptions are non-trivial, in the sense that they can observe not only term but also graph structures, i.e. take sharing into account. In turn, the developed methods allow us to more precisely estimate the runtime complexity of programs where sharing of sub-expressions is essential.

BibTeX - Entry

  author =	{Martin Avanzini and Georg Moser},
  title =	{{Complexity of Acyclic Term Graph Rewriting}},
  booktitle =	{1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)},
  pages =	{10:1--10:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-010-1},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{52},
  editor =	{Delia Kesner and Brigitte Pientka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-59901},
  doi =		{10.4230/LIPIcs.FSCD.2016.10},
  annote =	{Keywords: Program Analysis, Graph Rewriting, Complexity Analysis}

Keywords: Program Analysis, Graph Rewriting, Complexity Analysis
Collection: 1st International Conference on Formal Structures for Computation and Deduction (FSCD 2016)
Issue Date: 2016
Date of publication: 17.06.2016

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI