IPM Calendar 
Friday 19 April 2024   Today  
Events for day: Thursday 25 April 2019    
           10:00 - 12:00     Short Course
Method of Forcing with Side Conditions

School
MATHEMATICS

Elementary submodes as side conditions lead to a powerful method for designing forcing notions with desired generic objects. In more recent years such side conditions were used also in iterated forcing constructions. The series of lectures will present both of these two aspect of the side condition method. ...

           14:00 - 17:00     Short Course
Coalgberas and Modal Logic: One-step at a time

School
MATHEMATICS

Coalgebraic modal logic is a general framework for modal logics whose semantics goes beyond the standard relational world. Examples include neighbourhood logic, probabilistic logic and game logic.
In this talk, I will first introduce syntax and semantics of coalgebraic modal logic (for both nabla and predicate lifting approaches). Then I will define the one-step fragment of this logic, which contains formulas with exactly one layer of modalities. Following this paradigm, we discuss settings where logical properties like soundness, completeness and interpolation at the one-step level transfer to the level of the full coalgebraic (fixpoi ...