February 10 – 15, 2013, Dagstuhl Seminar 13071
Dependence Logic: Theory and Applications
Samson Abramsky (University of Oxford, GB)
Juha Kontinen (University of Helsinki, FI)
Jouko Väänänen (University of Helsinki & University of Amsterdam)
Heribert Vollmer (Leibniz Universität Hannover, DE)
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Art exhibition opens on Wednesday, February 13.
All participants are invited to attend at 7:30 pm.
More information here.
Dependence Logic is a new tool for modeling dependencies and interaction in dynamical scenarios. Reflecting this, it has higher expressive power and complexity than classical logics used for these purposes previously. Algorithmically, first-order dependence logic corresponds exactly to the complexity class NP and to the so-called existential fragment of second-order logic.
Since the introduction of dependence logic in 2007, the framework has been generalized, e. g., to the contexts of modal, intuitionistic and probabilistic logic. Moreover, interesting connections have been found to complexity theory and database theory, and dependence logic has been applied in areas such as linguistics, social choice theory, and physics. Although significant progress has been made in understanding the computational side of these formalisms, still many central questions remain unsolved so far.
The notions of logical dependence and independence are pervasive, and occur in many areas of science. The development of logical and semantical structures for these notions provides an opportunity for a systematic approach, which can expose surprising connections between different areas (e. g., quantum mechanics, social choice theory, and many more), and may lead to useful general results.
One of the main aims of this Dagstuhl Seminar was to bring together, for the first time, researchers working in this area so that they can communicate state-of-the-art advances and embark on a systematic interaction. In particular, bringing together researchers from areas of theoretical studies with the application areas will enhance the synergy between the different communities working on dependence logic.
Organization of the Seminar and Activities
The workshop brought together 35 researchers from mathematics, theoretical physics, statistics, social choice theory, and theoretical computer science. The participants consisted of both senior and junior researchers, including a number of postdocs and a few advanced graduate students.
Participants were invited to present their work and to communicate state-of-the-art advances. Seventeen talks of various lengths took place over the five days of the workshop. Introductory and tutorial talks of 90-60 minutes were scheduled prior to workshop. Most of the remaining slots were filled, mostly with shorter talks, as the workshop commenced. The organizers considered it important to leave ample free time for discussion.
The workshop achieved its aim of bringing together researchers from various related communities to share state-of-the-art research. The organizers left ample time outside of this schedule of talks and many fruitful discussions between participants took place throughout the afternoons and evenings.
Concluding Remarks and Future Plans
The organizers regard the workshop as a great success. Bringing together researchers from different areas fostered valuable interactions and led to fruitful discussions. Feedback from the participants was very positive as well. Many attendants expressed their wish for a continuation and stated that this seminar was among the most fruitful Dagstuhl seminars they attended.
Finally, the organizers wish to express their gratitude toward the Scientific Directorate of the Center for its support of this workshop, and hope to establish a series of workshops on Dependence Logic: Theory and Applications in the future.
- Data Structures / Algorithms / Complexity
- Verification / Logic
- Dependence logic
- Mathematical logic
- Computational complexity
- Finite model theory
- Game theory