Cut-free sequent calculi are given for positive logic with weak negation, establishing Craig interpolation and PSPACE-completeness via termination proofs.
‘On the interpolation theorem of Craig’, Sˆ ugaku, 12 (1960), 4, 235–237
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Proof Theory for Positive Logic with Weak Negation
Cut-free sequent calculi are given for positive logic with weak negation, establishing Craig interpolation and PSPACE-completeness via termination proofs.