Discrete Ensemble Logic over the natural numbers is Sigma-1-1-complete for satisfiability, sits between star-free and monadic Presburger arithmetic, and has an NP-complete existential fragment.
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Discrete Linear Ensemble Logic
Discrete Ensemble Logic over the natural numbers is Sigma-1-1-complete for satisfiability, sits between star-free and monadic Presburger arithmetic, and has an NP-complete existential fragment.