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Open Access 2021 | OriginalPaper | Chapter

Deductive Verification of Floating-Point Java Programs in KeY

Authors: Rosa Abbasi, Jonas Schiffl, Eva Darulova, Mattias Ulbrich, Wolfgang Ahrendt

Published in: Tools and Algorithms for the Construction and Analysis of Systems

Publisher: Springer International Publishing

Deductive verification has been successful in verifying interesting properties of real-world programs. One notable gap is the limited support for floating-point reasoning. This is unfortunate, as floating-point arithmetic is particularly unintuitive to reason about due to rounding as well as the presence of the special values infinity and ‘Not a Number’ (NaN). In this paper, we present the first floating-point support in a deductive verification tool for the Java programming language. Our support in the KeY verifier handles arithmetic via floating-point decision procedures inside SMT solvers and transcendental functions via axiomatization. We evaluate this integration on new benchmarks, and show that this approach is powerful enough to prove the absence of floating-point special values—often a prerequisite for further reasoning about numerical computations—as well as certain functional properties for realistic benchmarks.

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Metadata
Title
Deductive Verification of Floating-Point Java Programs in KeY
Authors
Rosa Abbasi
Jonas Schiffl
Eva Darulova
Mattias Ulbrich
Wolfgang Ahrendt
Copyright Year
2021
DOI
https://doi.org/10.1007/978-3-030-72013-1_13