Relational verification encompasses information flow security, regression verification, translation validation for compilers, and more. Effective alignment of the programs and computations to be related facilitates use of simpler relational invariants and relational procedure specs, which in turn enables automation and modular reasoning. Alignment has been explored in terms of trace pairs, deductive rules of relational Hoare logics (RHL), and several forms of product automata. This article shows how a simple extension of Kleene Algebra with Tests (KAT), called BiKAT, subsumes prior formulations, including alignment witnesses for forall-exists properties, which brings to light new RHL-style rules for such properties. Alignments can be discovered algorithmically or devised manually but, in either case, their adequacy with respect to the original programs must be proved; an explicit algebra enables constructive proof by equational reasoning. Furthermore our approach inherits algorithmic benefits from existing KAT-based techniques and tools, which are applicable to a range of semantic models.
Fri 20 JanDisplayed time zone: Eastern Time (US & Canada) change
16:45 - 18:00
|An Algebra of Alignment for Relational Verification
Timos Antonopoulos Yale University, Eric Koskinen Stevens Institute of Technology, Ton Chanh Le Stevens Institute of Technology, Ramana Nagasamudram Stevens Institute of Technology, David Naumann Stevens Institute of Technology, Minh Ngo Stevens Institute of TechnologyDOI
|Grisette: Symbolic Compilation as a Functional Programming Library
|HFL(Z) Validity Checking for Automated Program Verification
Naoki Kobayashi University of Tokyo, Kento Tanahashi University of Tokyo, Ryosuke Sato University of Tokyo, Takeshi Tsukada Chiba UniversityDOI