On the existential theories of Büchi arithmetic and linear p-adic fields

We consider the complexity of the satisfiability problems for the existential fragment of Büchi arithmetic and for the existential fragment of linear arithmetic over p-adic fields. Our main results are that both problems are NP-complete. The NP upper bound for existential linear arithmetic over p-ad...

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Bibliographic Details
Main Authors: Guépin, F, Haase, C, Worrell, J
Format: Conference item
Published: IEEE 2019