Difference between revisions of "Phd and internship subjects"

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== PhD subjects ==
 
== PhD subjects ==
  
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* [http://nts.imag.fr/images/d/d7/SelfAdaptingLogicsPhd.pdf Logical Foundations of Self-Adapting Distributed Systems]  
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* [https://nts.imag.fr/images/6/6f/Phd-pavedys.pdf Formal Modeling and Verification of Parameterized and Distributed Systems]  
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Applications of distributed systems are omnipresent, allowing to share resources and coordinate activities between geographically distributed parties. Designing, understanding, and validating distributed systems is challenging because of the huge number of interactions between components, some potentially leading to unpredictable scenarios. Mechanizing the analysis and verification of distributed systems is notoriusly difficult. Recently, there has been a notable trend to apply interactive theorem provers, i.e., using proof assistants, to the task. We propose to develop a complementary set of verification methods based, on generalizations of the more mechanized methods from the model-checking and automated theorem proving communities
  
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Reconfiguration is an inherent aspect of modern distributed systems, such as clouds or IoT. Processes can be created or removed due to internal faults, redistribution of resources, workload or traffic changes. Moreover, the shape of the communication network may change. Self-adapting systems initiate and carry out reconfiguration sequences automatically, in order to avoid expensive or even mission-critical downtimes, required by manual reconfiguration. The successful candidate will develop logics and automated reasoning techniques that enable writing formal proofs of correctness of self-adapting distributed systems. We focus on logics that describe the shape of a network (i.e., the interconnection of processes via communication channels) and how this shape changes with time. Particular attention will be devoted to the implementation of practical verification tools based on automated theorem proving and model checking based on the logics developped in this thesis. To this end, the candidate is expected to work on implementation and prototyping, in addition to theoretical research.
 
  
 
== Internship subjects ==
 
== Internship subjects ==
 
   
 
   
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* [https://nts.imag.fr/images/8/8a/MSOBTW.pdf A Solver for Monadic Second Order Logic of Graphs of Bounded Tree-width]
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The goal of this internship is to first try the direct implementation
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that follows Courcelle's proof, identity its bottlenecks and, second,
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devises solutions by generating more compact MSO formulae over
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trees, that postpone (or even avoid) state explosion, in some cases.
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* [http://nts.imag.fr/images/5/5e/InfiniteAlphabetAutomata.pdf Verifying Concurrent Systems with Automata over Infinite Alphabets]  
 
* [http://nts.imag.fr/images/5/5e/InfiniteAlphabetAutomata.pdf Verifying Concurrent Systems with Automata over Infinite Alphabets]  
  
 
The goal of this internship is to study extensions of finite-state automata over infinite alphabets and apply them to the verification of concurrent and distributed systems with unbounded numbers of threads. The internship comprises theoretical as well as implementation work, and will explore orthogonal domains, such as logic, automata theory and concurrency.
 
The goal of this internship is to study extensions of finite-state automata over infinite alphabets and apply them to the verification of concurrent and distributed systems with unbounded numbers of threads. The internship comprises theoretical as well as implementation work, and will explore orthogonal domains, such as logic, automata theory and concurrency.

Latest revision as of 11:11, 29 May 2024

PhD subjects

Applications of distributed systems are omnipresent, allowing to share resources and coordinate activities between geographically distributed parties. Designing, understanding, and validating distributed systems is challenging because of the huge number of interactions between components, some potentially leading to unpredictable scenarios. Mechanizing the analysis and verification of distributed systems is notoriusly difficult. Recently, there has been a notable trend to apply interactive theorem provers, i.e., using proof assistants, to the task. We propose to develop a complementary set of verification methods based, on generalizations of the more mechanized methods from the model-checking and automated theorem proving communities


Internship subjects

The goal of this internship is to first try the direct implementation that follows Courcelle's proof, identity its bottlenecks and, second, devises solutions by generating more compact MSO formulae over trees, that postpone (or even avoid) state explosion, in some cases.

The goal of this internship is to study extensions of finite-state automata over infinite alphabets and apply them to the verification of concurrent and distributed systems with unbounded numbers of threads. The internship comprises theoretical as well as implementation work, and will explore orthogonal domains, such as logic, automata theory and concurrency.

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