E192-04 - Forschungsbereich Formal Methods in Systems Engineering E191-01 - Forschungsbereich Cyber-Physical Systems
Formal Methods. FM 2021
FM 2021: the 24th international symposium of Formal Methods
20-Nov-2021 - 25-Nov-2021
Number of Pages:
Almost sure termination; Asymptotic bounds; Martingales
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.