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PhD school at CIRM

Dates and location

The school covers two full weeks, from Monday April 7 (morning) till Friday April 18 (noon) 2014, and will be held at CIRM in Luminy, near Marseille, France.

Registration

Please register here if you are interested in participating.

Programme

This two week school is aimed as an intensive preparation and training for PhD students and master students who will participate to the IHP program, starting right after the two week school at the CIRM and running until mid July, 2014.

First week

Monday 07 April 2014
09:30 - 10:30Thierry CoquandConstructive mathematics and homotopy type theory 1
Coffee Break
11:00 - 12:00Thierry CoquandConstructive mathematics and homotopy type theory 2
Lunch
14:00 - 15:00Assia MahboubiFormalization of mathematics in proof assistants 1
Coffee Break
15:30 - 16:30Assia MahboubiFormalization of mathematics in proof assistants 2
17:00 - 18:00Working groups and exercises
Dinner
Tuesday 08 April 2014
09:30 - 10:30Thierry CoquandConstructive mathematics and homotopy type theory 3
Coffee Break
11:00 - 12:00Thierry CoquandConstructive mathematics and homotopy type theory 4
Lunch
14:00 - 15:00Assia MahboubiFormalization of mathematics in proof assistants 3
Coffee Break
15:30 - 16:30Assia MahboubiFormalization of mathematics in proof assistants 4
17:00 - 18:00Working groups and exercises
Dinner
Wednesday 09 April 2014
09:30 - 10:30Alexandre MiquelComputational interpretation of proofs and realizability 1
Coffee Break
11:00 - 12:00Alexandre MiquelComputational interpretation of proofs and realizability 2
Lunch and free afternoon
Thursday 10 April 2014
09:30 - 10:30Alexandre MiquelComputational interpretation of proofs and realizability 3
Coffee Break
11:00 - 12:00Alexandre MiquelComputational interpretation of proofs and realizability 4
Lunch
14:00 - 15:00Assia MahboubiFormalization of mathematics in proof assistants 5
Coffee Break
15:30 - 16:30Assia MahboubiFormalization of mathematics in proof assistants 6
17:00 - 18:00Working groups and exercises
Social dinner (bouillabaisse) (CIRM Marseille)
Friday 11 April 2014
09:30 - 10:30Thierry CoquandConstructive mathematics and homotopy type theory 5
Coffee Break
11:00 - 12:00Thierry CoquandConstructive mathematics and homotopy type theory 6
Lunch
14:00 - 15:00Alexandre MiquelComputational interpretation of proofs and realizability 5
Coffee Break
15:30 - 16:30Alexandre MiquelComputational interpretation of proofs and realizability 6
Dinner
Saturday 12 April 2014
Lunch (CIRM Marseille)

Second week

Monday 14 April 2014
09:30 - 10:30Pierre-Louis CurienLinear logic, game semantics and environment machines 1
Coffee Break
11:00 - 12:00Pierre-Louis CurienLinear logic, game semantics and environment machines 2
Lunch
14:00 - 15:00Alex SimpsonSemantics of programming languages with effects 1
Coffee Break
15:30 - 16:30Alex SimpsonSemantics of programming languages with effects 2
17:00 - 18:00Working groups and exercises
Dinner
Tuesday 15 April 2014
09:30 - 10:30Pierre-Louis CurienLinear logic, game semantics and environment machines 3
Coffee Break
11:00 - 12:00Pierre-Louis CurienLinear logic, game semantics and environment machines 4
Lunch
14:00 - 15:00Alex SimpsonSemantics of programming languages with effects 3
Coffee Break
15:30 - 16:30Alex SimpsonSemantics of programming languages with effects 4
17:00 - 18:00Working groups and exercises
Dinner
Wednesday 16 April 2014
09:30 - 10:30Amal AhmedSyntax and semantics of low level languages 1
Coffee Break
11:00 - 12:00Amal AhmedSyntax and semantics of low level languages 2
Lunch and free afternoon
Thursday 17 April 2014
09:30 - 10:30Pierre-Louis CurienLinear logic, game semantics and environment machines 5
Coffee Break
11:00 - 12:00Pierre-Louis CurienLinear logic, game semantics and environment machines 6
Lunch
14:00 - 15:00Amal AhmedSyntax and semantics of low level languages 3
Coffee Break (CIRM Marseille)
15:30 - 16:30Amal AhmedSyntax and semantics of low level languages 4
17:00 - 18:00Working groups and exercises
Social dinner (bouillabaisse) (CIRM Marseille)
Friday 18 April 2014
09:30 - 10:30Alex SimpsonSemantics of programming languages with effects 5
Coffee Break
11:00 - 12:00Alex SimpsonSemantics of programming languages with effects 6
Lunch
14:00 - 15:00Amal AhmedSyntax and semantics of low level languages 5
Coffee Break
15:30 - 16:30Amal AhmedSyntax and semantics of low level languages 6
Dinner (CIRM Marseille)
Saturday 19 April 2014
Lunch (CIRM Marseille)

Talks

First week

From 7 to 11 April 2014.

  • A 6-hour intensive course on constructive mathematics and homotopy type theory by Thierry Coquand (Chalmers University, Gothenburg): principles of constructive mathematics, Curry-Howard correspondence, typed λ-calculi, Martin-Löf type theory, homotopy type theory, univalence axiom, proof-irrelevance.
  • A 6-hour intensive course on formalization of mathematics in proof assistants by Assia Mahboubi (INRIA Saclay): introduction to the theoretical as well as the practical aspects of formalization, with illustrations on the proof assistant Coq.
  • A 6-hour intensive course on computational interpretation of proofs and realizability by Alexandre Miquel (Universidad de la República, Montevideo): continuation-passing style translations, Kripke semantics, Kleene realizability, forcing and models of set-theory, Krivine classical realizability.
  • Discussion sessions as well as practical sessions on the computer.

Second week

From 14 to 18 April 2014.

  • A 6-hour intensive course on the syntax and semantics of low level languages by Amal Ahmed (Northeastern University): principles of von Neuman architecture, typed assembly languages, Hoare logic, separation logic, semantic study of the heap, higher order referenes, logical relations, forcing, step-indexing techniques.
  • A 6-hour intensive course on linear logic, game semantics and environment machines by Pierre-Louis Curien (CNRS, PPS, Universté Paris Diderot): basics of category theory, monads and adjunctions, abstract machines, linear logic, constructive classical logic, denotation of proofs and programs (Scott domains, game semantics).
  • A 6-hour intensive course on the semantics of programming languages with effects by Alex Simpson (LFCS, University of Edinburgh): computational effects and monads, metalanaguages for effects, algebraic theory of effects, continuations, presheaf models of local store, observations and modalities.
  • Discussion sessions as well as practical sessions on the computer.

Organizers

  • Pierre-Louis Curien, directeur de recherche CNRS, Laboratoire Preuves, Programmes, Systèmes (PPS), Université Paris Diderot
  • Hugo Herbelin, directeur de recherche INRIA, Laboratoire Preuves, Programmes, Systèmes (PPS), Université Paris Diderot
  • Paul-André Melliès, chargé de recherche CNRS, Laboratoire Preuves, Programmes, Systèmes (PPS), Université Paris Diderot
cirm.1394201128.txt.gz · Last modified: 2014/03/07 15:05 by smimram
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