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AISB opportunities Bulletin Item

PhD scholarship "Modal Logic, Foundations of Equilibrium Logic and Answer Set Programming", FRANCE


Toulouse (France)

Answer Set Programming (ASP) is a successful new paradigm for declarative programming and 
logic-based problem solving. Recent research has focused on language extensions of ASP 
(e.g. by epistemic and temporal concepts) and on the development of logical techniques for 
program analysis and modularity.

Non-classical logics such as equilibrium logic [Lifschitz et al. 2001] are now widely 
acknowledged to form an adequate logical foundation for ASP. Recently it has been proposed 
to recast equilibrium logic in the framework of modal logic [Farinas and Herzig 2011].

The aim of the thesis is to further strengthen the connections between ASP and modal logic. 
Some of the areas that could be developed during the thesis are:
- modal logics contributing to the foundations of ASP;
- extensions of equilibrium logic with modal operators of time, knowledge, belief, etc.;
- hybrid knowledge bases that combine reasoning with nonmonotonic rules and classical knowledge sources such as ontologies.

The thesis will be prepared in the European Lab "Advanced Studies in Information Representation and Processing" in 
co-tutorship between Institut de Recherche en Informatique de Toulouse (IRIT) and Universidad 
Politecnica de Madrid (UPM). It starts on October 1, 2011. The scholarship is provided by the 
French Ministery of Education (3 years, about 1600 per month).

[Farinas and Herzig 2011] L. Farias del Cerro and A. Herzig, "The modal logic of equilibrium 
models", Proc. Frontiers of Combining Systems (FroCoS 2011), to appear.
[Lifschitz et al. 2001] V. Lifschitz and D. Pearce and A. Valverde, "Strongly equivalent logic 
programs", ACM Transactions on Computational Logic 2 (4), pp. 
526-541. 2001. (see

Andreas Herzig and Luis Farinas del Cerro (IRIT), David Pearce (UPM)

Required competences:
Applicants should have some knowledge of modal logic and/or ASP.

Applicants should send a CV (including grades) to and before July 10, 2011.