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Undecidability of Inferring Linear Integer Invariants

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arxiv 1812.01069 v2 pith:H5RIDTOQ submitted 2018-12-03 cs.PL

Undecidability of Inferring Linear Integer Invariants

classification cs.PL
keywords integerlinearqfliaarithmeticdeterminingevenexistenceexpressed
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the problem of determining the existence of an inductive invariant in the language of quantifier free linear integer arithmetic (QFLIA) is undecidable, even for transition systems and safety properties expressed in QFLIA.

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