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PhD Position in Theoretical Computer Science
The Theoretical Computer Science Group at KTH Computer Science and Communication (KTH CSC) invites applications for a PhD position in Theoretical Computer Science with a focus on proof complexity and connections to SAT solving.
KTH Royal Institute of Technology is the largest and oldest technical university in Sweden. No less than one-third of Sweden's technical research and engineering education capacity at university level is provided by KTH. Education and research spans from natural sciences to all branches of engineering and includes architecture, industrial management and urban planning. There are a total of just over 15,000 first and second level students and more than 1,600 doctoral students. KTH has almost 4,300 employees.
The School of Computer Science and Communication at KTH (KTH CSC) is one of Sweden's leading research and education institutions in Information Technology, with activities at both KTH and Stockholm University. The activities of the school focus on higher education and research within the traditional core areas of numerical analysis and computer science; from theory building and analysis of mathematical models to algorithm construction, implementation and simulation. Other core areas of growing importance are technology and methods for the support of human communication and computer mediated cooperation. The applied research includes scientific computing, computer science, computer vision, robotics, neuroinformatics and neural networks, human-computer interaction, media technology, and communication through speech and music. For more information, see www.kth.se/en/csc.
The Theoretical Computer Science Group at KTH CSC (www.csc.kth.se/tcs) offers a strong research environment spanning a wide range of research topics such as complexity theory and approximation algorithms, computer and network security, cryptography, formal methods and natural language processing. The group has a consistent track record of publishing regularly in the leading theoretical computer science conferences and journals worldwide, and the research conducted here has attracted numerous international awards and grants in recent years.
We are seeking a PhD student in Theoretical Computer Science for the research project "Understanding the Hardness of Theorem Proving" in the area of proof complexity with connections to SAT solving.
Proving formulas in propositional logic is a problem of immense importance both theoretically and practically. On the one hand, this computational task is widely believed to be intractable in the worst case, although proving (or disproving) this is one of the major open problems in theoretical computer science and mathematics. (This is one of the famous million dollar Millennium Problems, known as the P vs. NP problem). On the other hand, today so-called SAT solvers are routinely used to solve large-scale real-world problem instances with hundreds of thousands or even millions of variables. The intriguing question of when SAT solvers perform well or badly, and what properties of the formulas explain this behaviour, remains quite poorly understood.
Proof complexity studies formal systems for reasoning about logic formulas. This field has deep connections to fundamental questions in computational complexity, but another important motivation is the connection to SAT solving. All SAT solvers use some kind of method or system in which proofs are searched for, and proof complexity analyses the potential and limitations of such proof systems (and thereby of the algorithms using them).
This project aims to advance the frontiers of proof complexity, and to leverage this research to shed light on questions related to SAT solving. We want to understand what makes formulas hard or easy in practice by combining theoretical study and practical experiments, and also to gain theoretical insights into other crucial but poorly understood issues in SAT solving. We are also interested in exploring the possibility of basing SAT solvers on stronger proof systems than are currently being used. In order to do so, however, a crucial step is to obtain a better understanding of the corresponding proof systems, and in this context there are a number of well-known and relatively longstanding open questions in proof complexity that we want to study and try to solve.
The project is led by Jakob Nordström (www.csc.kth.se/~jakobn) and is financed by a Breakthrough Research Grant from the Swedish Research Council and a Starting Independent Researcher Grant from the European Research Council. The group currently consists of two PhD students and a postdoctoral researcher (in addition to the project leader).
This is a four-year time-limited position, but it normally includes 20% departmental duties, usually teaching, in which case the position is prolonged for one more year. The successful candidate is expected to start at the latest in August 2013, although this is to some extent negotiable.
Form of employment: Time-limited
To be eligible to apply for this position, applicants need to have or be close to obtaining either an MSc degree or a 4-year BSc degree with the equivalent of one year of full-time study of courses at an advanced level. A suitable background for this position is, for instance, a degree in Computer Science, Mathematics or possibly Technical Physics with a theoretical specialization.
The successful candidate is expected to have a strong background and passionate interest in Theoretical Computer Science (in, e.g., complexity theory or similar areas) and Mathematics (preferably combinatorics and algebra). Problem solving skills and creativity are a must. Practical programming skills are a big plus since part of the overall project might involve performing large-scale computer experiments and developing new prototypes for SAT solvers.
Applicants must be strongly motivated for doctoral studies; should possess the ability to work independently and perform critical analysis, and also have good levels of cooperative and communicative abilities. They must also have a very good command of English in writing and speaking to be able to participate in international collaborations and to publish and present research results in international conferences and journals.
The working language of the TCS group is English, and knowledge of English is also fully sufficient to navigate life in Sweden in general.
Application deadline: Sunday May 5, 2013
Applications should be sent via email to email@example.com. Write the reference number in the subject line. The application and all attachments should be sent as PDF files.
The application should include the following documents:
We are currently gathering information to help improve our recruitment process. We would therefore be very grateful if you could include an answer to the following question in your application: Where did you initially come across this job advertisement? (To which the answer is, if you are reading this: on the project leader's webpages, or on whatever page linked to here.)
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