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.CSL.2021.34
URN: urn:nbn:de:0030-drops-134681
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/13468/
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Pham, Long ; Hoffmann, Jan

Typable Fragments of Polynomial Automatic Amortized Resource Analysis

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LIPIcs-CSL-2021-34.pdf (0.6 MB)

Abstract

Being a fully automated technique for resource analysis, automatic amortized resource analysis (AARA) can fail in returning worst-case cost bounds of programs, fundamentally due to the undecidability of resource analysis. For programmers who are unfamiliar with the technical details of AARA, it is difficult to predict whether a program can be successfully analyzed in AARA. Motivated by this problem, this article identifies classes of programs that can be analyzed in type-based polynomial AARA. Firstly, it is shown that the set of functions that are typable in univariate polynomial AARA coincides with the complexity class PTime. Secondly, the article presents a sufficient condition for typability that axiomatically requires every sub-expression of a given program to be polynomial-time. It is proved that this condition implies typability in multivariate polynomial AARA under some syntactic restrictions.

BibTeX - Entry

@InProceedings{pham_et_al:LIPIcs:2021:13468,
  author =	{Long Pham and Jan Hoffmann},
  title =	{{Typable Fragments of Polynomial Automatic Amortized Resource Analysis}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{34:1--34:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Christel Baier and Jean Goubault-Larrecq},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13468},
  URN =		{urn:nbn:de:0030-drops-134681},
  doi =		{10.4230/LIPIcs.CSL.2021.34},
  annote =	{Keywords: Resource consumption, Quantitative analysis, Amortized analysis, Typability}
}

Keywords: Resource consumption, Quantitative analysis, Amortized analysis, Typability
Collection: 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)
Issue Date: 2021
Date of publication: 13.01.2021

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