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Analyzing the Implicit Computational Complexity of object-oriented programs

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Abstract

A sup-interpretation is a tool which provides upper bounds on the size of the values computed by the function symbols of a program. Sup-interpretations have shown their interest to deal with the complexity of first order functional programs. This paper is an attempt to adapt the framework of sup-interpretations to a fragment of object-oriented programs, including loop and while constructs and methods with side effects. We give a criterion, called brotherly criterion, which uses the notion of sup-interpretation to ensure that each brotherly program computes objects whose size is polynomially bounded by the inputs sizes. Moreover we give some heuristics in order to compute the sup-interpretation of a given method.

BibTeX - Entry

@InProceedings{marion_et_al:LIPIcs:2008:1763,
  author =	{Jean-Yves Marion and Romain Pechoux},
  title =	{{Analyzing the Implicit Computational Complexity of object-oriented programs}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{316--327},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-08-8},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{2},
  editor =	{Ramesh Hariharan and Madhavan Mukund and V Vinay},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1763},
  URN =		{urn:nbn:de:0030-drops-17638},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.FSTTCS.2008.1763},
  annote =	{Keywords: Implicit computational complexity, object-oriented programs,  sup-interpretation, resource upper bounds}
}

Keywords: Implicit computational complexity, object-oriented programs, sup-interpretation, resource upper bounds
Seminar: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science
Issue date: 2008
Date of publication: 2008


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