== Synthesis and Verification of Real-time Logic (4 years FNRS PDR research 
project, 2015-2019) ==

* Position * One Post-Doc position is open at the Université libre de 
Bruxelles (ULB). The position is funded by a PDR collaborative research project 
of the Belgian National Fund for Scientific Research (FNRS), under the lead of 
Prof. Gilles Geeraerts (ULB) and Prof. Thomas Brihaye (UMons).

* Summary of the research project * Computers pervade indisputably our everyday 
life (plane autopilots, airbags…). Clearly enough, ensuring the correctness of 
these critical computer systems is imperative. Today, the use of formal methods 
is widely advocated as adequate methodologies to obtain the strong guarantees 
that are requested by critical applications. In the current state of the art, 
those methods can be split in two categories: verification and synthesis 
methods. Roughly speaking, verification techniques are a posteriori methods, 
which allow to detect bugs in already existing models of a controller; and 
synthesis techniques are a priori methods which output a model of the 
controller that is guaranteed to be correct by construction.

The development of those two families of techniques is nowadays quite advanced 
when the models and properties are purely qualitative. Nevertheless in order to 
faithfully model computer systems and their specifications, real-time aspects 
are of capital importance. Unfortunately, the theoretical and practical results 
are still partial when real-time aspects of the system must be taken into 
account. In the untimed case, the success of verification and synthesis methods 
can arguably be attributed to the fact that they rely on (Büchi) automata as an 
adequate model to express the system's behaviours, and on powerful yet natural 
languages to specify the properties (e.g. LTL). In the timed case, and while 
timed automata are a well-established and well-studied automaton model, the 
picture is not so clear. Real-time extensions of LTL are either highly 
undecidable (MTL), or studied mainly from a theoretical point of view (ECL, 
MITL), and the algorithms to perform verification with those logics are not 
easily amenable to implementation.

Thus, the present research project aims at defining efficient algorithmic 
techniques to solve verification and synthesis problems when the specification 
languages are real-time linear logics.

* Starting dates * From September, 2017

* Salary * Annual net salary (after all taxes) starts at €2,347.32/months for a 
Post-Doc student, in addition, advantages include complete health insurance.

* The research environment *  ULB (http://www.ulb.ac.be) is a complete 
university located in the city of Brussels at the center of Europe (25.000+ 
students with 30% coming from abroad). The Formal Methods and Veri cation group 
is part of the Computer Science Department of the Faculty of Sciences. The 
group maintains a large number of active collaborations with other research 
groups in computer- aided veri cation across Europe and the USA. The group is 
also part of the Belgian Federated Center for Veri cation 
(http://cfv.ulb.ac.be) that gathers all the Belgian research groups active in 
computer aided veri cation and hosts a monthly seminar with renowned guest 
speakers. The working language is English. The project is a joint project with 
the University of Mons (http://www.umons.ac.be/), which is located 70km south 
of Brussels.

* Further information and application * Potential candidates can contact Prof. 
Geeraerts (gigeerae [at] ulb [dot] ac [dot] be) and Prof. Brihaye (thomas [dot] 
brihaye [at] umons [dot] ac [dot] be).

--
Gilles GEERAERTS
Université libre de Bruxelles (ULB)

Home Page: http://www.ulb.ac.be/di/verif/ggeeraer
Federated Center in Verification: http://cfv.ulb.ac.be
Belgian olympiad of computer science: http://www.be-oi.be

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