Parisian Master of Research in Computer Science
Master Parisien de Recherche en Informatique (MPRI)

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cours:c-2-7-1 [2018/11/21 09:07]
dowek [Past exams]
cours:c-2-7-1 [2019/11/12 06:18] (current)
werner [Exam]
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==== Teaching in 2018-2019 ==== ==== Teaching in 2018-2019 ====

-[[http://http://www.lsv.fr/~dowek/|Gilles Dowek]]+[[http://www.lix.polytechnique.fr/~werner/|Benjamin Werner]]
+and [[http://www.strub.nu/|Pierre-Yves Strub]]

+==== Course Page ====

+[[http://www.enseignement.polytechnique.fr/informatique/MPRI/2-7-1/|Here]]

==== Objectives ==== ==== Objectives ====
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proof systems such as Coq, Agda, HOL, Isabelle, PVS. In particular we will treat in depth the articulation between reasoning and computation.  proof systems such as Coq, Agda, HOL, Isabelle, PVS. In particular we will treat in depth the articulation between reasoning and computation.

-This course is a prerequisite to the course //Assistants de preuve : principes et application à la preuve de programmes//.

==== When and where ? ==== ==== When and where ? ====

-The lectures are each Wednesday from 8:45 to 12:00, in the Sophie Germain Building, room 1004+The lectures are each Tuesday from 8:45 to 12:00, in the Sophie Germain Building, room 1013

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<html><dl> <html><dl>
-<dt> September 12th: Natural deduction - The notion of theory+<dt> September 10thInductive definitions. Natural deduction

-<dt> September 19thThe notion of model Exercises+<dt> September 17thLogical and axiomatic cuts Arithmetic

-<dt> September 26th:  Arithmetic Naive set theory+<dt> September 24th:  Normalization of simply typed lambda-calculus and System T

-<dt> October 3rdSimple type theory Exercises+<dt> October 1stHigher-Order Logic

-<dt> October 10th: The termination of proof reduction +<dt> ...
- +
-<dt> October 17th:  Dependent types - Exercises +
- +
-<dt> October 31st: Inductive types - Polymorphism +
- +
-<dt> November 14th: Master class - Preparation of the exam+
</dl> </dl>
</html> </html>

-No lectures on October 24th and November 7th

==== Exam ==== ==== Exam ====

-November 21st, 9h-10h30, Sophie Germain Buildingroom 1003+Tuesday, Nov. 19th 2019, 9h-11h301013. Course notes and personal documents allowed

==== Prerequisites ==== ==== Prerequisites ====
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</html> </html>

-==== Bibliography ====

-<html> +==== Internships (last year - to be updated) ====
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit.pdf">Lecture notes</a> +
-<br> +
-Slides: <a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit1.pdf">Lecture 1</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit2.pdf">Lecture 2</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit3.pdf">Lecture 3</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit4.pdf">Lecture 4</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit5.pdf">Lecture 5</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit6.pdf">Lecture 6</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit8.pdf">Lecture 7</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit9.pdf">Lecture 8</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit10.pdf">Lecture 9</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit11.pdf">Lecture 10</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/pit12.pdf">Lecture 11</a>. +
- +
-<br> +
-Exercises: <a href = "http://www.lsv.fr/~dowek/Cours/Pit/exercises1.pdf">Exercises 1</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/exercises2.pdf">Exercises 2</a>, +
-<a href = "http://www.lsv.fr/~dowek/Cours/Pit/exercises3.pdf">Exercises 3</a>. +
-</html> +
-==== Internships ====+

<html> <html>

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