A hypersequent approach to modal logic
Andrew Parisi (University of Connecticut)

May 15, 2015, 11:00am - 1:00pm
Logic Group, The University of Melbourne

Room 532, Level 5, 757 Swanston Street
757 Swanston Street
Melbourne 3010

Topic areas


Several hypersequent accounts of modality have been presented (see Avron (1991); Restall (2009); Lellmann (2014); Lahav (2013)). This paper develops several hypersequent systems of modal logic. In particular systems K, D, T, S4, B, and S5 are given. S5 is the same hypersequent system given in Restall (2009). The other systems are generated from this by restricting the external structural rules of the calculus. In this sense, the calculi mirror the standard possible world account of modality: the different systems are generated by restricting structural features modal frames as opposed to the rules explicitly governing the modal operators. Cut Elimination has been proved for K and D, and Cut admissibility for S5 is proved by Restall (2009). The paper concludes by considering the results of adding different accounts of first-order quantification to the calculus. 

Supporting material

Add supporting material (slides, programs, etc.)




Who is attending?

1 person is attending:

University of Melbourne

See all

Will you attend this event?

Let us know so we can notify you of any change of plan.

This event has been submitted and is maintained by:

(University of Melbourne)

You should login and contact this user if you believe the information on this page needs updating.

If you judge that this event entry is inappropriate, please login and report it.