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DOI: 10.4230/LIPIcs.ICALP.2018.113
URN: urn:nbn:de:0030-drops-91174
URL: https://drops.dagstuhl.de/opus/volltexte/2018/9117/
Aguirre, Alejandro ; Barthe, Gilles ; Hsu, Justin ; Silva, Alexandra
Almost Sure Productivity
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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 König. 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 | |
| Seminar: | 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018) | |
| Issue date: | 2018 | |
| Date of publication: | 04.07.2018 |
