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Lecture Notes in Computer Science
We present techniques for the analysis of infinite state probabilistic programs to synthesize probabilistic invariants and prove almost-sure termination. Our analysis is based on the notion of (super) martingales from probability theory. First, we define the concept of (super) martingales for loops in probabilistic programs. Next, we present the use of concentration of measure inequalities to bound the values of martingales with high probability. This directly allows us to infer probabilisticdoi:10.1007/978-3-642-39799-8_34 fatcat:6nqg2nrvkndhfp4473zg4wccfu