Jobs/M2 AD 2015 Syntactic Monoids

	Syntactic Monoids
Reference id	M2 AD 2015 Syntactic Monoids
Dates	5-6 months in 2015
Research field	Automata Theory
Related project	Vaucanson
Advisor	Akim Demaille
General presentation of the field	Many properties and characteristics of an automaton can be easily computed from its syntactic monoids. Such properties are of particular importance to theoreticians. 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 has a sound base of data structure and algorithms for automata and rational expressions. However, it offers no support for syntactic monoids at all.
Prerequisites	good programmer in some language acquaintance with C++ facilities with theoretical matters
Objectives	The objective of this internship is to develop support for syntactic monoids in Vcsn, and to implement recent research results in Automata Theory that use the syntactic monoid.
Benefit for the candidate
References	Jacques Sakarovitch, “Elements of Automata Theory,” Cambridge University Press. Akim Demaille, Alexandre Duret-Lutz, Sylvain Lombardy, Jacques Sakarovitch. “Implementation Concepts in Vaucanson 2,” CIAA’13.
Place	LRDE: How to get to us
Compensation	1000 € gross/month
Future work opportunities	If you have performed the internship satisfactorily, we would like it to be followed by a PhD thesis.
Contact	<akim at lrde . epita . fr> <akim at lrde . epita . fr>