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...

Полное описание

Библиографические подробности
Главные авторы: Chistikov, D, Haase, C, Mansutti, A
Формат: Conference item
Язык:English
Опубликовано: Springer 2022