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2022-05-19T17:56:51+02:00
Jobs/M2 AD 2015 Symmetric Difference Automata
0
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Akim Demaille
Akim Demaille
1000 € gross/month
<akim at lrde . epita . fr>
5-6 months in 2015
The classical theory of automata, of transducers and of rational expressions, admits a very elegant and extremely useful extension (eg, in natural language processing) taking into account the concept of weighting. The weights are then taken in a semi-ring, which can be classical (⟨𝔹, ∨, ∧⟩, ⟨ℤ, +, ×⟩, ⟨ℚ, +, ×⟩, etc..), tropical (⟨ℤ, min, +⟩, etc..), or yet of another type (e.g. rational expressions).
The field 𝔽₂ is a particular interest, and shows quite a few unique properties, as demonstrated by the current active research under various names (e.g., "Symmetric Difference Automata").
Vcsn is a project led by Alexandre Duret-Lutz and Akim Demaille (LRDE). It is a platform for the manipulation of automata, transducers and weighted rational expressions. It is written in C++11 avoiding the classical object-oriented programming in favor of generic programming (template) for more performance. Vcsn is an heir of the Vaucanson 2 project which was developed in partnership with Jacques Sakarovitch (Telecom ParisTech) and Sylvain Lombardy (LaBRI).
If you have performed the internship satisfactorily, we would like it to be followed by a PhD thesis.
The objective of this internship is to exploit the existing features of Vcsn to apply them to 𝔽₂ in a first step, and then, in a second step, to use Vcsn as a tool to explore novel results.
* good programmer in some language
* acquaintance with C++
* facilities with theoretical matters
true
M2 AD 2015 Symmetric Difference Automata
* [http://www.amazon.com/Elements-Automata-Theory-Jacques-Sakarovitch/dp/0521844258 Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press.]
* [http://publications.lrde.epita.fr/201307-CIAA Akim Demaille, Alexandre Duret-Lutz, Sylvain Lombardy, Jacques Sakarovitch. “Implementation Concepts in Vaucanson 2,” CIAA’13.]
* [http://www.cs.sun.ac.za/~jaco/PUBS/index.html#vzg13 L. van Zijl, J. Geldenhuys, “ Symmetric Difference NFA: the state of the art”]
Automata Theory
Symmetric Difference Automata
Master Internship
en
2014-12-12T14:13:32Z
2457004.0927315
Jobs/M2 AD 2015 Symmetric Difference Automata