On lexicographic proof rules for probabilistic termination

• Main Authors: CHATTERJEE, Krishnendu, GOHARSHADY, Ehsan Kafshdar, NOVOTNÝ, Petr, ZÁREVUCKÝ, Jiří, ZIKELIC, Dorde
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2021
• Subjects: Probabilistic programs; Termination; Martingales; Software Engineering
• Online Access: https://ink.library.smu.edu.sg/sis_research/9070; https://ink.library.smu.edu.sg/context/sis_research/article/10073/viewcontent/509983_1_En_Print.indd.pdf
• Institution: Singapore Management University

We consider the almost-sure (a.s.) termination problem for probabilistic programs, which are a stochastic extension of classical imperative programs. Lexicographic ranking functions provide a sound and practical approach for termination of non-probabilistic programs, and their extension to probabili...