Dear all,
The next talk in the IARCS Verification Seminar Series will be given by
Soumyajit Paul, a post-doctoral researcher at the University of Liverpool.
The talk is scheduled on Tuesday, September 16, at 1900 hrs IST (add to
Google calendar
<https://calendar.google.com/calendar/event?action=TEMPLATE&tmeid=M2EzajE4cThqcG9lY2VyaXZndXNiajNhN2MgdnNzLmlhcmNzQG0&tmsrc=vss.iarcs%40gmail.com>
).
The details of the talk can be found on our webpage (
https://fmindia.cmi.ac.in/vss/), and also appended to the body of this
email.
The Verification Seminar Series, an initiative by the Indian Association
for Research in Computing Science (IARCS), is a monthly, online
talk-series, broadly in the area of Formal Methods and Programming
Languages, with applications in Verification and Synthesis. The aim of this
talk-series is to provide a platform for Formal Methods researchers to
interact regularly. In addition, we hope that it will make it easier for
researchers to explore newer problems/areas and collaborate on them, and
for younger researchers to start working in these areas.
All are welcome to join.
Best regards,
Organizers, IARCS Verification Seminar Series
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Title: Resolving Nondeterminism by Chance
Meeting Link:
https://us02web.zoom.us/j/89164094870?pwd=eUFNRWp0bHYxRVpwVVNoVUdHU0djQT09
(Meeting ID: 891 6409 4870, Passcode: 082194)
Abstract:
History-deterministic automata are those in which nondeterministic choices
can be correctly resolved stepwise: there is a strategy to select a
continuation of a run given the next input letter so that if the overall
input word admits some accepting run, then the constructed run is also
accepting. The notion of History Determinism (sometimes known as Good for
Games) was introduced by Henzinger and Piterman in 2006 motivated by
applications in reactive synthesis. Later, it has been studied for several
models such as Pushdown systems, Timed automata, Vector Addition systems,
etc. Motivated by checking qualitative properties in probabilistic
verification, we introduce the setting where the resolver strategy can
randomize and only needs to succeed with lower-bounded probability. In this
talk, I will present our work on stochastic resolution of nondeterministic
automata.
I will discuss the expressiveness of stochastically-resolvable automata as
well as our complexity results for deciding stochastic resolvability. In
particular, we show that it is undecidable to check if a given NFA is
stochastically resolvable with a given threshold. The problem however
becomes decidable for the class of finitely-ambiguous automata. We also
consider the related question of deciding whether an automata is resolvable
with any positive threshold. We show that this problem is decidable for
automata over unary alphabet as well as for finitely-ambiguous automata. I
will present our complexity results for several well-studied classes of
automata and also discuss natural extensions of some of these results to
automata for omega regular languages. I will conclude with some interesting
open questions.
This is based on joint work with David Purser, Sven Schewe, Qiyi Tang,
Patrick Totzke and Di-de Yen.
Bio: Soumyajit Paul is currently a post-doctoral researcher at University
of Liverpool, working primarily with Sven Schewe. His research interests
encompasses algorithmic game theory, probabilistic systems and formal
methods. Earlier, he was a teaching and research fellow at Université Paris
Cité, affiliated to IRIF. He did his PhD at LaBRI, Université de Bordeaux
under the supervision of Hugo Gimbert and B. Srivathsan. His PhD research
work focussed on the complexity of equilibrium computations in games where
players may have imperfect information. Prior to his PhD, he completed his
undergraduate and master's studies at Chennai Mathematical Institute.