Difference between revisions of "Jobs/M2 AD 2015 Syntactic Monoids"
From LRDE
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{{Job |
{{Job |
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|Reference id=M2 AD 2015 Syntactic Monoids |
|Reference id=M2 AD 2015 Syntactic Monoids |
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| − | |Title= |
+ | |Title=Syntactic Monoids |
|Dates=5-6 months in 2015 |
|Dates=5-6 months in 2015 |
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|Research field=Automata Theory |
|Research field=Automata Theory |
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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"). |
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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 (LaBRI). |
+ | 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). |
| − | |||
|Prerequisites=* good programmer in some language |
|Prerequisites=* good programmer in some language |
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* acquaintance with C++ |
* acquaintance with C++ |
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* facilities with theoretical matters |
* facilities with theoretical matters |
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|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. |
|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. |
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| − | |References=Some references |
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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.] |
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* [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”] |
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| − | |||
|Contact=<akim at lrde . epita . fr> |
|Contact=<akim at lrde . epita . fr> |
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|Compensation=1000 € gross/month |
|Compensation=1000 € gross/month |
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Revision as of 15:26, 29 October 2014
| Syntactic Monoids | |
|---|---|
| Reference id |
M2 AD 2015 Syntactic Monoids |
| Dates |
5-6 months in 2015 |
| Research field |
Automata Theory |
| Related project | |
| Advisor | |
| 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 (LaBRI). |
| Prerequisites |
|
| 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 | |
| Place | LRDE: How to get to us |
| Compensation |
1000 € gross/month |
| Future work opportunities | |
| Contact |