Quantifier elimination for counting extensions of Presburger arithmetic

We give a new quantifier elimination procedure for Presburger arithmetic extended with a unary counting quantifier ∃=xyΦ that binds to the variable x the number of different y satisfying Φ. While our procedure runs in non-elementary time in general, we show that it yields nearly optimal elementary c...

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Bibliographic Details
Main Authors: Chistikov, D, Haase, C, Mansutti, A
Format: Conference item
Language:English
Published: Springer 2022