List questions from presburger-arithmetic | MathQa

Can there exist a definition of 'multiplication' in Presburger Arithmetic?

Published on 13 Jan 2025 - 2:23

Oracle for computing transitive closure of presburger arithmetic formula if it exists: Computable?

Published on 13 Jan 2025 - 5:24

Question concerning Presburger arithmetic

Published on 13 Jan 2025 - 2:04

Where do I go wrong with Presburger “multiplication”?

Published on 13 Jan 2025 - 5:22

Nonstandard structure of Presburger arithmetic

Published on 13 Jan 2025 - 2:09

Why is it impossible to define multiplication in Presburger arithmetic yet possible to define exponentiation in Peano Arithmethic?

Published on 13 Jan 2025 - 2:32

Is there a difference between induction in Peano Arithmetic and Presburger Arithmetic?

Published on 13 Jan 2025 - 2:28

Presburger arithmetic and finite model property

Published on 13 Jan 2025 - 5:32

Why does a definition of multiplication in Presburger Arithmetic result in an undecidable theory?

Published on 13 Jan 2025 - 5:41

Why doesn't the decision problem for Presburger arithmetic demonstrate that $\mathsf{P} \neq \mathsf{NP}$

Published on 13 Jan 2025 - 5:26