 Presburger arithmetic

Presburger arithmetic is a formal system that encompasses the first-order theory of the natural numbers with addition. It is named after the mathematician Mojżesz Presburger, who introduced it in 1929. The key features of Presburger arithmetic are: 1. **Language**: The language of Presburger arithmetic includes the symbols for natural numbers (usually represented as \(0, 1, 2, \ldots\)), the addition operation (often represented as \(+\)), and equality.