Title
The Probabilistic Termination Tool Amber
Abstract
We describe the Amber tool for proving and refuting the termination of a class of probabilistic while-programs with polynomial arithmetic, in a fully automated manner. Amber combines martingale theory with properties of asymptotic bounding functions and implements relaxed versions of existing probabilistic termination proof rules to prove/disprove (positive) almost sure termination of probabilistic loops. Amber supports programs parameterized by symbolic constants and drawing from common probability distributions. Our experimental comparisons give practical evidence of Amber outperforming existing state-of-the-art tools.
Year
DOI
Venue
2021
10.1007/978-3-030-90870-6_36
FORMAL METHODS, FM 2021
Keywords
DocType
Volume
Almost sure termination, Martingales, Asymptotic bounds
Conference
13047
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Marcel Moosbrugger100.68
Ezio Bartocci2393.52
Joost-Pieter Katoen374.45
Laura Kovács401.35