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Title: BiGKAT: An Algebraic Framework for Relational Verification of Probabilistic Programs
Abstract This work is devoted to formal reasoning on relational properties of probabilistic imperative programs. Relational properties are properties which relate the execution of two programs (possibly the same one) on two initial memories. We aim at extending the algebraic approach of Kleene Algebras with Tests (KAT) to relational properties of probabilistic programs. For that we consider the approach of Guarded Kleene Algebras with Tests (GKAT), which can be used for representing probabilistic programs, and define a relational version of it, called Bi-guarded Kleene Algebras with Tests (BiGKAT) together with a semantics. We show that the setting of BiGKAT is expressive enough to encode a finitary version of probabilistic Relational Hoare Logic (pRHL) (without the While rule), a program logic that has been introduced in the literature for the verification of relational properties of probabilistic programs. We also discuss the additional expressivity brought by BiGKAT.  more » « less
Award ID(s):
2314324 2217679 2040249
PAR ID:
10612309
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer Nature Switzerland
Date Published:
ISBN:
978-3-031-90896-5
Page Range / eLocation ID:
243 to 264
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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