This program is tentative and subject to change.
We introduce eRHL, a program logic for reasoning about relational expectation properties of pairs of probabilistic programs. eRHL is quantitative, i.e., its pre- and post-conditions take values in the extended non-negative reals. Thanks to its quantitative assertions, eRHL overcomes randomness alignment restrictions from prior logics, including PRHL, a popular relational program logic used to reason about security of cryptographic constructions, and apRHL, a variant of PRHL for differential privacy. As a result, eRHL is the first relational probabilistic program logic to be supported by non-trivial soundness and completeness results for all \emph{almost surely terminating} programs. We show that eRHL is sound and complete with respect to program equivalence, statistical distance, and differential privacy. We also show that every PRHL judgment is valid iff it is provable in eRHL. We showcase the practical benefits of eRHL with examples that are beyond reach of PRHL and \APRHL.
This program is tentative and subject to change.
Wed 22 JanDisplayed time zone: Mountain Time (US & Canada) change
15:00 - 16:20 | |||
15:00 20mTalk | A quantitative probabilistic relational Hoare logic POPL Martin Avanzini Inria, Gilles Barthe MPI-SP; IMDEA Software Institute, Benjamin Gregoire INRIA, Davide Davoli Université Côte d’Azur, Inria | ||
15:20 20mTalk | Approximate Relational Reasoning for Higher-Order Probabilistic Programs POPL Philipp G. Haselwarter Aarhus University, Kwing Hei Li Aarhus University, Alejandro Aguirre Aarhus University, Simon Oddershede Gregersen New York University, Joseph Tassarotti New York University, Lars Birkedal Aarhus University Pre-print | ||
15:40 20mTalk | Compositional imprecise probability: a solution from graded monads and Markov categories POPL | ||
16:00 20mTalk | Sound and Complete Proof Rules for Probabilistic Termination POPL |