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Level 2 modules

Level 2 modules offer a specialised training constitutive of a true introduction to research; they require a good knowledge of the contents of the level 1 modules. Each level 2 full module is taught over the course of a semester, represents 75 student-hours (typically 50 contact hours and 25 hours of private study), and entitles students to 6 ECTS credits. Half modules are taught either 1.5h/week over the course of the semester or 3h/week over half the semester. Each such module represents 37.5 student-hours and entitles students to 3 ECTS credits.

At least twenty level 2 modules will be made available for the first semester exclusively. The MPRI's Executive Committee will set a list of level 2 modules each year; the modules thus selected will of course only be actually maintained if they attract a sufficient number of students. The level 2 modules will be taught preferably on the premises of the university of Paris 7. The table herebelow contains a list of titles and heads of level 2 modules as well as links to a description of each module.

List of level 2 modules

Courses marked with a (S) are suspended in the academic year 2017-2018

Module	Title	Nb. H	ECTS	Period(s)	Nb. Week	H/Week	Person(s) in charge	Teaching Language	Breakable
2.1	Logique linéaire et paradigmes logiques du calcul Linear logic and logical paradigms of computation	48	6	1-2	16	3	D. Kesner	3/4 French by default, 1/4 English
2.2	Modèles des langages de programmation: domaines, catégories, jeux Models of programming languages: domains, categories, games	48	6	1-2	16	3	P.-A. Melliès	English upon request
2.3.1 (S)	Concurrence Concurrency	24	3	2	8	3	E. Haucourt	French by default
2.3.2	Fondements de la confidentialité des données Foundations of privacy	24	3	2	8	3	C. Palamidessi	English
2.4	Programmation fonctionnelle et systèmes de types Functional programming and type systems	48	6	1-2	20	2.5	D. Rémy	French by default	Yes
2.5.1 (S)	Démonstration automatique Automated deduction	24	3	2	8	3	R. Treinen	French by default
2.6	Interprétation abstraite: application à la vérification et à l'analyse statique Abstract interpretation: application to verification and static analysis	48	6	1-2	16	3	A. Miné	English upon request
2.7.1	Fondements des systèmes de preuves Foundations of proof systems	24	3	1	8	3	G. Dowek	English upon request
2.7.2	Assistants de preuves Proof assistants	24	3	2	8	3	B. Barras	French by default
2.8.1	Théorie non-séquentielle des systèmes distribués Non-sequential theory of distributed systems	24	3	1	10	2.5	B. Bollig	1/2 English upon request 1/2 French upon request
2.8.2	Fondements des systèmes temps-réel et hybrides Foundations of real time and hybrid systems	24	3	1	10	2.5	P. Bouyer	French by default
2.9.1	Beaux préordres et algorithmes Well-Quasi-Orders for Algorithms	24	3	1	8	3	A. Finkel	English upon request
2.9.2	Vérification algorithmique des programmes Algorithmic verification of programs	24	3	2	8	3	A. Bouajjani	English upon request
2.10	Aspects algorithmiques de la combinatoire Algorithmic aspects of combinatorics	48	6	1-2	20	2.5	G. Schaeffer	French
2.11 (S)	Complexité randomisée (long) Randomness in complexity (long)	48	6	1-2	16	3	F. Magniez	English	Yes
2.11.1	Algorithmes d’approximation et Algorithmique moléculaire Approximation algorithms and molecular algorithms	24	3	1	8	3	N. Schabanel	English upon request
2.11.2	Complexité randomisée (court) Randomness in complexity (short)	24	3	1	8	3	A. Rosén	English
2.12.1	Techniques en cryptographie et cryptoanalyse Techniques in cryptography and cryptanalysis	24	3	2	16	1.5	M. Abdalla	English
2.12.2	Algorithmes arithmétiques pour la cryptologie Arithmetic algorithms for cryptology	24	3	2	16	3	F. Morain	1/3 English by default 2/3 English upon request
2.13.1	Systèmes polynomiaux, calcul formel et applications Polynomial systems, computer algebra and applications	24	3	2	8	3	J.-C. Faugère	English upon request
2.13.2	Codes correcteurs d'erreurs et applications à la cryptographie Error correcting codes and applications to cryptography	24	3	1-2	16	1.5	A. Canteaut	French by default
2.14.1	Analyse géométrique des données Computational geometry learning	24	3	1	10	2.5	J.-D. Boissonnat	English upon request
2.15	Analyse d'algorithmes Analysis of algorithms	48	6	1-2	16	3	C. Nicaud	French
2.16	Modélisation par automates finis Finite automata modelling	48	6	1-2	16	3	T. Colcombet	English upon request
2.17.1	Fondements sur la modélisation des réseaux Foundations of network models	24	3	2	10	2.5	J. Mairesse	English upon request
2.18.1	Algorithmique distribuée pour les réseaux Distributed algorithms on networks	24	3	1-2	16	1.5	P. Fraigniaud	1/2 French by default 1/2 English
2.18.2	Algorithmique distribuée avec mémoire partagée Distributed algorithms on shared memory	24	3	1	8	3	C. Delporte	English and French
2.19	Méthodes informatiques pour la biologie systémique et synthétique Computational methods for systems and synthetic biology	48	6	1-2	16	3	F. Fages	French by default	Yes
2.20.1	Techniques de théorie des jeux en informatique Game theory techniques in computer science	24	3	1	8	3	W. Zielonka	French
2.20.2 (S)	Fondations mathématiques de la théorie des automates Mathematical foundations of automata theory	24	3	1-2	16	1.5	J.-E. Pin	English upon request
2.22	Algorithmes efficaces en calcul formel Efficient algorithms in computer algebra	48	6	1-2	16	3	B. Salvy	French by default	Yes
2.23.1	Systèmes synchrones Synchronous systems	24	3	1	8	3	M. Pouzet	English upon request
2.24.1	Optimisation Optimization	24	3	1	10	2.5	S. Angelopoulos	English
2.24.2	Résolution de problèmes d'optimisation avec heuristiques de recherche Solving optimization problems with search heuristics	24	3	2	10	2.5	C. Doerr	English
2.26.1 (S)	Logique, complexité descriptive et théorie des bases de données Logic, descriptive complexity and database theory	24	3	2	8	3	L. Segoufin	French by default
2.26.2	Gestion de données du web Web data management	24	3	2	8	3	S. Abiteboul	English upon request
2.27.1	Structures informatiques et logiques pour la modélisation linguistique Computational structures and logics for natural language modelling	24	3	1	8	3	S. Schmitz	English upon request
2.29.1	Algorithmique des graphes Graph algorithms	24	3	1	8	3	M. Habib	French by default
2.29.2	Fouille de graphes Graph mining	24	3	2	8	3	M. Sozio	English
2.30	Protocoles cryptographiques : preuves formelles et calculatoires Cryptographic protocols: computational and symbolic proofs	48	6	1-2	16	3	B. Blanchet	English upon request	Yes
2.33.1 (S)	Théorie des calculs Theory of computations	24	3	1	10	2.5	B. Charron-Bost	English upon request
2.33.2	Complexité de circuits Circuit complexity	24	3	1	10	2.5	S. Perifel	English upon request
2.33.3(S)	Théorie des calculs Theory of computations	24	3	1	10	2.5	O. Bournez	English upon request
2.34.1	Informatique quantique Quantum information	24	3	1	8	3	S. Laplante	English upon request
2.34.2	Informatique quantique et cryptographie Quantum information and cryptography	24	3	2	8	3	S. Laplante	English upon request
2.35.1	Programmation par contraintes Constraint programming	24	3	1	8	3	S. Soliman	French by default
2.36.1	Preuve de programmes Proofs of programs	24	3	2	8	3	C. Marché	English upon request
2.37.1	Sémantique, langages et algorithmes pour la programmation multicore Semantics, languages and algorithms for multicore programming	24	3	2	8	3	A. Cohen	English upon request
2.38.1	Algorithmique et combinatoire des graphes géométriques Algorithms and combinatorics for geometric graphs	24	3	1	8	3	V. Pilaud	French by default
2.39	Informatique graphique et visualisation scientifique Computer Graphics and Visualization	24	3	1-2	8	3	J. Tierny	English upon request

Semantics of the teaching languages annotations:

“English upon request” means that the module will be taught in French, unless one non-French speaking student requests English
“French by Default” means that the module is taught in French, unless at least one non-French speaking student requests English and no French speaking students requests French
“English by Default” is obtained by transposing “French” and “English” in the above case.
“English” (resp. “French”) means that the module will be taught in English (resp. French) independently of the students attending. Most of the time, however, some of the teaching material is available in French (resp. English)

For a more detailed information on the teaching language of each module, as well as concerning the language of the exams, please look at the web page of the module.