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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.

Slides_Aiming_Low_is_Harder (Talk_Hark_Marcel.pdf)1.1MiB

Conference Day
Fri 24 Jan

Displayed time zone: Saskatchewan, Central America change

11:45 - 12:30
Probabilistic Reasoning and VerificationResearch Papers at Ile de France III (IDF III)
Chair(s): Arthur Azevedo de AmorimCarnegie Mellon University, USA
11:45
22m
Talk
Proving Expected Sensitivity of Probabilistic Programs with Randomized Variable-Dependent Termination Time
Research Papers
Peixin WangShanghai Jiao Tong University, Hongfei FuShanghai Jiao Tong University, Krishnendu ChatterjeeIST Austria, Yuxin DengEast China Normal University, Ming XuEast China Normal University
Link to publication DOI Media Attached
12:07
22m
Talk
Aiming Low Is Harder: Induction for Lower Bounds in Probabilistic Program Verification
Research Papers
Marcel HarkRWTH Aachen University, Germany, Benjamin Lucien KaminskiRWTH Aachen University, Germany, Jürgen GieslRWTH Aachen University, Joost-Pieter KatoenRWTH Aachen University
Link to publication DOI Media Attached File Attached