Difference between revisions of "Jobs/M2 AD 2015 Symmetric Difference Automata"

From LRDE

(Created page with "{{Job |Reference id=M2 AD 2015 Symmetric Difference Automata |Title=Symmetric Difference Automata |Dates=5-6 months in 2015 |Research field=Automata Theory |Related project=Va...")
 
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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").
 
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 5 LaBRI).
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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 5 LaBRI).
 
 
|Prerequisites=- good programmer in some language
 
|Prerequisites=- good programmer in some language
 
- acquaintance with C++
 
- acquaintance with C++
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* [http://publications.lrde.epita.fr/201307-CIAA Akim Demaille, Alexandre Duret-Lutz, Sylvain Lombardy, Jacques Sakarovitch. “Implementation Concepts in Vaucanson 2,” CIAA’13.]
 
* [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”]
 
* [http://www.cs.sun.ac.za/~jaco/PUBS/index.html#vzg13 L. van Zijl, J. Geldenhuys, “ Symmetric Difference NFA: the state of the art”]
 
 
|Contact=<akim at lrde . epita . fr>
 
|Contact=<akim at lrde . epita . fr>
 
|Compensation=1000 € gross/month
 
|Compensation=1000 € gross/month
  +
|Future work opportunities=PhD thesis.
 
|Type=Master Internship
 
|Type=Master Internship
 
|Language=en
 
|Language=en

Revision as of 14:09, 29 October 2014

Symmetric Difference Automata
Reference id

M2 AD 2015 Symmetric Difference Automata

Dates

5-6 months in 2015

Research field

Automata Theory

Related project

Vaucanson

Advisor

Akim Demaille

General presentation of the field

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 5 LaBRI).

Prerequisites

- good programmer in some language - acquaintance with C++ - facilities with theoretical matters

Objectives

The objective of this internship is 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.

Benefit for the candidate
References

Some references

Place LRDE: How to get to us
Compensation

1000 € gross/month

Future work opportunities

PhD thesis.

Contact

<akim at lrde . epita . fr> <akim at lrde . epita . fr>