Termination of Triangular Integer Loops is Decidable

Published 21 May 2019 in cs.LO | (1905.08664v1)

Abstract: We consider the problem whether termination of affine integer loops is decidable. Since Tiwari conjectured decidability in 2004, only special cases have been solved. We complement this work by proving decidability for the case that the update matrix is triangular.

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