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.ICALP.2018.113
URN: urn:nbn:de:0030-drops-91174
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9117/
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Aguirre, Alejandro ; Barthe, Gilles ; Hsu, Justin ; Silva, Alexandra

Almost Sure Productivity

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LIPIcs-ICALP-2018-113.pdf (0.5 MB)


Abstract

We introduce Almost Sure Productivity (ASP), a probabilistic generalization of the productivity condition for coinductively defined structures. Intuitively, a probabilistic coinductive stream or tree is ASP if it produces infinitely many outputs with probability 1. Formally, we define ASP using a final coalgebra semantics of programs inspired by Kerstan and K├Ânig. Then, we introduce a core language for probabilistic streams and trees, and provide two approaches to verify ASP: a syntactic sufficient criterion, and a decision procedure by reduction to model{-}checking LTL formulas on probabilistic pushdown automata.

BibTeX - Entry

@InProceedings{aguirre_et_al:LIPIcs:2018:9117,
  author =	{Alejandro Aguirre and Gilles Barthe and Justin Hsu and Alexandra Silva},
  title =	{{Almost Sure Productivity}},
  booktitle =	{45th International Colloquium on Automata, Languages, and  Programming (ICALP 2018)},
  pages =	{113:1--113:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-076-7},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{107},
  editor =	{Ioannis Chatzigiannakis and Christos Kaklamanis and D{\'a}niel Marx and Donald Sannella},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9117},
  URN =		{urn:nbn:de:0030-drops-91174},
  doi =		{10.4230/LIPIcs.ICALP.2018.113},
  annote =	{Keywords: Coinduction, Probabilistic Programming, Productivity}
}

Keywords: Coinduction, Probabilistic Programming, Productivity
Collection: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018)
Issue Date: 2018
Date of publication: 04.07.2018


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