Section: New Results

A framework for focusing and cut-elimination

Participant : Dale Miller.

Liang and Miller provide in [14] a general setting for specifying proofs in intuitionistic and classical logic. In this setting, it is possible to guarantee cut-elimination and initial elimination results simply by checking how certain simple side-conditions are used within a focused proof system. This setting treats both intuitionistic and classical logics as well allowing certain hybridizations of these two logics. This work helped lead the authors to finding a way to truly mix in one logic and one proof system both classical and intuitionistic logic, as described in [22] .