Asymptotic Complexity Estimates for Probabilistic Programs and their VASS Abstractions

• Autoři: AJDARÓW Michal; KUČERA Antonín
• Rok publikování: 2023
• Druh: Článek ve sborníku
• Konference: 34th International Conference on Concurrency Theory (CONCUR 2023)
• Fakulta / Pracoviště MU: Fakulta informatiky
• www: Dagstuhl website
• Doi: http://dx.doi.org/10.4230/LIPIcs.CONCUR.2023.12
• Klíčová slova: VASS; termination complexity
• Popis: The standard approach to analyzing the asymptotic complexity of probabilistic programs is based on studying the asymptotic growth of certain expected values (such as the expected termination time) for increasing input size. We argue that this approach is not sufficiently robust, especially in situations when the expectations are infinite. We propose new estimates for the asymptotic analysis of probabilistic programs with non-deterministic choice that overcome this deficiency. Furthermore, we show how to efficiently compute/analyze these estimates for selected classes of programs represented as Markov decision processes over vector addition systems with states.

Související projekty

• Efektivní analýza a optimalizace pravděpodobnostních systémů a her
• Zapojení studentů Fakulty informatiky do mezinárodní vědecké komunity 23
• Modelování, analýza a verifikace (2023)