Many-valued modal logics, coalgebraically
Marta Bilkova (Charles University, Prague)

March 17, 2017, 11:00am - 1:00pm
Logic Group, The University of Melbourne

G09
Old Quad
Parkville 3010
Australia

Organisers:

Shawn Standefer
University of Melbourne

Topic areas

Details

Marta Bilkova (Charles University) will present "Many-valued modal logics, coalgebraically" on March 17 at 11 in Old Quad G09.

Abstract: We apply methods of coalgebraic logic to investigate many-valued modal logics which we therefore consider as coalgebraic languages interpreted over set-coalgebras with genuinely many-valued valuations. In this talk, we concentrate on expressivity of modal languages based on modalities understood semantically as many-valued predicate liftings. We provide a sufficient condition for a language generated by a set of such modalities to be expressive for bisimilarity: the condition says that we can separate behaviours using the propositional language and modalities. The condition is a generalization of the usual separation condition on the set of predicate liftings, but now it also involves the algebra of truth values substantially. Thus, adapting results of Schroder concerning expressivity of boolean coalgebraic logics to many-valued setting, we generalize results of Metcalfe and Marti, concerning Hennessy-Milner property for many-valued modal logics based on box and diamond.

 

Supporting material

Add supporting material (slides, programs, etc.)

Reminders

Registration

No

Who is attending?

No one has said they will attend yet.

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.