Room P3.10, Mathematics Building

Cristina Sernadas, Instituto Superior Técnico

Craig interpolation versus fibring

Interpolation in the context of sequent calculi labelled with truth values. Global interpolation, local interpolation and arrow interpolation and their relationship. Constructive (proof-theoretic) versus non-constructive (model-theoretic) proofs. General (constructive) result of interpolation for well behaved sequent calculi. The modal and first-order sequent calculi as particular examples. Preservation of interpolation when fibring logics.