One-Variable Logic Meets Presburger Arithmetic [article]

Bartosz Bednarczyk
2019 arXiv   pre-print
We consider the one-variable fragment of first-order logic extended with Presburger constraints. The logic is designed in such a way that it subsumes the previously-known fragments extended with counting, modulo counting or cardinality comparison and combines their expressive powers. We prove NP-completeness of the logic by presenting an optimal algorithm for solving its finite satisfiability problem.
arXiv:1810.10899v3 fatcat:bnl6big7xnarbfr7ksrcppgrsq