Logic List Mailing Archive
PhD student position in modal fixpoint logics, Amsterdam (The Netherlands), Deadline: 7 Jun 2021
ILLC
Universiteit van Amsterdam
We are looking for a PhD candidate for a research project Derivation
Systems for Modal Fixpoint Logics. Many applications of modal logic, in
particular in computer science, require the formalism to deal with various
kinds of recursion. Modal fixpoint logics are extensions of basic modal
logic that deal with the concept of recursion in an elegant and
fundamental way by adding operators or connectives that can express
recursive statements. Whereas semantic and computational aspects of these
logics are by now reasonably well understood, the theory of proof systems
for modal fixpoint logics has remained relatively underdeveloped. The aim
of the Derivation Systems for Modal Fixpoint Logics project is to develop
a general and uniform theory of proof systems for modal fixpoint logics.
Such a theory will extend that of basic modal logics with proof systems
that allow for derivations that are circular or feature other mechanisms
for dealing with the recursive nature of fixpoints. The envisaged
methodology for designing and studying such proof systems will integrate
insights from proof theory with ideas from the theories of automata,
infinite games, and (co-)algebra.
The research project Derivation Systems
for Modal Fixpoint Logics was awarded to Prof.Dr. Yde Venema by the
Netherlands Organisation for Scientific Research (NWO) in the ENW TOP
grant programme. It is part of a larger project on proof systems for modal
fixpoint logics, directed by Venema together with Dr. Bahareh Afshari. For
more details and information on the application procedure, see
https://www.illc.uva.nl/NewsandEvents/News/Positions/newsitem/12740/PhD-in-Proof-Systems-for-Modal-Fixpoint-Logics
or contact Yde Venema at y.venema@uva.nl<mailto:y.venema@uva.nl>, or
Bahareh Afshari at b.afshari@uva.nl<mailto:b.afshari@uva.nl>.
The deadline
for applications is Monday 7 June; the preferred starting date is 1
September 2021.
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