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Is there a property definable in finite-variable infinitary logic L^{\omega}_{\omega\infty}$L^{\omega}_{\omega\infty}$ but not definable in partial fixed point logic FO(PFP) ?
Is there a property definable in finite-variable infinitary logic L^{\omega}_{\omega\infty} but not definable in partial fixed point logic FO(PFP) ?
Is there a property definable in finite-variable infinitary logic $L^{\omega}_{\omega\infty}$ but not definable in partial fixed point logic FO(PFP) ?
