NDLI: Accurate ICP-based floating-point reasoning

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Accurate ICP-based floating-point reasoning

Content Provider	ACM Digital Library
Author	Fehrer, Detlef Becker, Bernd Teige, Tino Neubauer, Felix Fränzle, Martin Mahdi, Ahmed Bienmüller, Tom Scheibler, Karsten
Abstract	In scientific and technical software, floating-point arithmetic is often used to approximate arithmetic on physical quantities natively modeled as reals. Checking properties for such programs (e.g. proving unreachability of code fragments) requires accurate reasoning over floating-point arithmetic. Currently, most of the SMT-solvers addressing this problem class rely on bit-blasting. Recently, methods based on reasoning in interval lattices have been lifted from the reals (where they traditionally have been successful) to the floating-point numbers. The approach presented in this paper follows the latter line of interval-based reasoning, but extends it by including bitwise integer operations and cast operations between integer and floating-point arithmetic. Such operations have hitherto been omitted, as they tend to define sets not concisely representable in interval lattices, and were consequently considered the domain of bit-blasting approaches. By adding them to interval-based reasoning, the full range of basic data types and operations of C programs is supported. Furthermore, we propose techniques in order to mitigate the problem of aliasing during interval reasoning. The experimental results confirm the efficacy of the proposed techniques. Our approach outperforms solvers relying on bit-blasting as well as the existing interval-based SMT-solver.
Starting Page	177
Ending Page	184
Page Count	8
File Format	PDF
ISBN	9780983567868
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2016-10-03
Publisher Place	Austin
Access Restriction	Subscribed
Subject Keyword	Floating-point Dead-code detection Smt
Content Type	Text
Resource Type	Article

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