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Invariant checking of NRA transition systems via incremental reduction to LRA with EUF. (English) Zbl 1452.68116
Legay, Axel (ed.) et al., Tools and algorithms for the construction and analysis of systems. 23rd international conference, TACAS 2017, held as part of the European joint conferences on theory and practice of software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017. Proceedings. Part I. Berlin: Springer. Lect. Notes Comput. Sci. 10205, 58-75 (2017).
Summary: Model checking invariant properties of designs, represented as transition systems, with non-linear real arithmetic (NRA), is an important though very hard problem. On the one hand NRA is a hard-to-solve theory; on the other hand most of the powerful model checking techniques lack support for NRA. In this paper, we present a counterexample-guided abstraction refinement (CEGAR) approach that leverages linearization techniques from differential calculus to enable the use of mature and efficient model checking algorithms for transition systems on linear real arithmetic (LRA) with uninterpreted functions (EUF). The results of an empirical evaluation confirm the validity and potential of this approach.
For the entire collection see [Zbl 1360.68015].
MSC:
68Q60 Specification and verification (program logics, model checking, etc.)
68Q45 Formal languages and automata
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