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UID:/NewsandEvents/Archives/2009/newsitem/2721/9-F
ebruary-2009-PROSE-Colloquium-Ana-Sokolova
DTSTAMP:20090205T000000
SUMMARY:PROSE Colloquium, Ana Sokolova
ATTENDEE;ROLE=Speaker:Ana Sokolova
DTSTART;TZID=Europe/Amsterdam:20090209T153000
DTEND;TZID=Europe/Amsterdam:20090209T163000
LOCATION:Room 6.96, HG (Main Building), TU Eindhov
en
DESCRIPTION:In this talk I will report on a joint
work with Bart Jacobs on examples of expressivity
of modal logics. We investigate expressivity of mo
dal logics for transition systems, multitransition
systems, Markov chains, and Markov processes, as
coalgebras of the powerset, finitely supported mul
tiset, finitely supported distribution, and measur
e functor, respectively. Expressivity means that l
ogically indistinguishable states, satisfying the
same formulas, are behaviourally indistinguishable
too. The investigation is based on the framework
of dual adjunctions between spaces and logics and
focuses on a crucial injectivity property. The app
roach is generic both in the choice of systems and
modalities, and in the choice of a ``base logic''
. Most of these expressivity results are already k
nown, but the applicability of the uniform setting
of dual adjunctions to these particular examples
is what constitutes the contribution of this work.
In addition, we observed an interesting compariso
n of the mentioned types of systems, in particular
of Markov chains and Markov processes. For more
information, see http://www.win.tue.nl/prose/
X-ALT-DESC;FMTTYPE=text/html:\n \nIn this
talk I will report on a joint work with Bart Jacob
s on examples of expressivity of modal logics. We
investigate expressivity of modal logics for trans
ition systems, multitransition systems, Markov cha
ins, and Markov processes, as coalgebras of the po
werset, finitely supported multiset, finitely supp
orted distribution, and measure functor, respectiv
ely. Expressivity means that logically indistingu
ishable states, satisfying the same formulas, are
behaviourally indistinguishable too. The investiga
tion is based on the framework of dual adjunctions
between spaces and logics and focuses on a crucia
l injectivity property. The approach is generic bo
th in the choice of systems and modalities, and in
the choice of a ``base logic''. Most of these exp
ressivity results are already known, but the appli
cability of the uniform setting of dual adjunction
s to these particular examples is what constitutes
the contribution of this work. In addition, we ob
served an interesting comparison of the mentioned
types of systems, in particular of Markov chains a
nd Markov processes. \n

\n \n
For more information, see \n http://ww
w.win.tue.nl/prose/\n

\n
URL:/NewsandEvents/Archives/2009/newsitem/2721/9-F
ebruary-2009-PROSE-Colloquium-Ana-Sokolova
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