The complexity of disjunctive linear Diophantine constraints

Manuel Bodirsky; Barnaby Martin; Marcello Mamino; Antoine Mottet

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arXiv · 1807.00985

The complexity of disjunctive linear Diophantine constraints

Manuel Bodirsky·Barnaby Martin·Marcello Mamino·Antoine Mottet

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Abstract

We study the Constraint Satisfaction Problem CSP(A), where A is first-order definable in (Z;+,1) and contains +. We prove such problems are either in P or NP-complete.

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Manuel Bodirsky, Barnaby Martin, Marcello Mamino, Antoine Mottet. 2018-07-03. The complexity of disjunctive linear Diophantine constraints. https://arxiv.org/abs/1807.00985

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