TITLE: On modal fixpoint logics: where logic meets automata and games
SPEAKER: Prof. Alessandro Facchini (Informatic Institute, Warsaw, Polland)
WHEN: Friday, July 4th, 11:00 am
WHERE: IDSIA Meeting room - Galleria 1, Manno
ABSTRACT:
Modal fixpoint logics constitute a very lively and interesting research 
field. The reasons of this success are twofold. On the one hand computer 
scientists extensively use these formalisms to capture the relevant 
formal aspects of the system they want to build, as it is the case with 
LTL, CTL and PDL in software verification, or with conditional and 
regular XPath in database theory. On the other hand, the mathematical 
theory of modal fixpoint logics has unveiled deep and rich connections 
with fields as diverse as automata theory, topology and game theory. But 
despite this success story, the actual situation is paradoxical: modal 
fixpoints are used everywhere in computer science, but the working 
computer scientist is still lacking a clear mathematical understanding 
of them.
In this talk I present the content of my present research program, whose 
goal is to make a step towards the understanding of the mathematical 
landscape behind modal fixpoints by studying expressiveness and 
structural problems of this formalisms, in particular of the modal 
mu-calculus. Some of the first obtained results have been published at 
LICS 2013, CSL-LICS 2014 and CiE 2014.
Short bio:
Alessandro Facchini is assistant professor at the Informatics Institute 
of the University of Warsaw, where is leading a Homing Plus project on 
the expressiveness of fixpoint logics, co-financed by the FNP and the 
European Union. After studying logic, linguistics and mathematics at the 
Universities of Neuchâtel and Barcelona, he obtained a PhD in Computer 
Science, joint from the Universities of Bordeaux 1 (LaBRI) and Lausanne. 
For the results obtained during his doctoral studies, he was awarded of 
the Paul Bernays Award 2011. He has been research associate at the 
Informatics Institute of the University of Amsterdam (EU FP7 project), 
and visiting researcher at the Jack Baskin School of Engineering, 
University of California Santa Cruz, at the ILLC, University of 
Amsterdam, and at the Laboratory for Foundations of Computer Science, 
University of Edinburgh. He is also research associate at the UMR7597, 
CNRS-University Paris 7.
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