Aiming Low Is Harder: Induction for Lower Bounds in Probabilistic Program Verification
We present a new inductive rule for verifying lower bounds on expected values of random variables after execution of probabilistic loops as well as on their expected runtimes. Our rule is simple in the sense that loop body semantics need to be applied only finitely often in order to verify that the candidates are indeed lower bounds. In particular, it is not necessary to find the limit of a sequence as in many previous rules.
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|Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent Termination Time|
Peixin WangShanghai Jiao Tong University, Hongfei FuShanghai Jiao Tong University, Krishnendu ChatterjeeIST Austria, Yuxin DengEast China Normal University, Ming XuEast China Normal UniversityLink to publication DOI Media Attached
|Aiming Low Is Harder: Induction for Lower Bounds in Probabilistic Program Verification|
Marcel HarkRWTH Aachen University, Germany, Benjamin Lucien KaminskiRWTH Aachen University, Germany, Jürgen GieslRWTH Aachen University, Joost-Pieter KatoenRWTH Aachen UniversityLink to publication DOI Media Attached File Attached