IMC010: Type Theory and Coq

A colorful subject!

Teachers

Location

Friday: 10.45-12.30, HG01.057

Please make sure that you are registered for this course in Blackboard, as it will be used to send email and administrate results.

Structure of the course

The course consists of four parts:

The basis

We use the course by Femke van Raamsdonk of the Free University Amsterdam. This will be taught by Freek using the following schedule:

9 september	propositional logic & simple type theory	chapters 1 & 2
16 september	predicate logic & dependent types	chapters 4 & 6
23 september	inductive types & recursion	chapter 3
30 september	inductive predicates & inversion	chapter 3 (continued)
7 october	program extraction	chapter 5
14 october	second-order logic & polymorphism	chapters 7 & 8
21 october	inhabitation & summary of the course	chapter 9

The students will be expected to have studied the chapters listed, and the material will be discussed then. You are welcome to ask for help at any time if you have any questions, either by email or by walking into our offices.

The practical work in Coq corresponding to Femke's course will be done using the ProofWeb system on the machine proofweb.cs.ru.nl. Each participant will get a login to the course page on this machine, and will get his/her password by email.

Some slides from 2004:

Introduction to Type Theory by Herman for additional material

Advanced topic

The second half of the course will be taught by Herman Geuvers and Robbert Krebbers. A research paper will be studied, together with extra material needed to understand this research paper. Each student will present part of this to the group.

This year the research paper will be:

Hugo Herbelin, An intuitionistic logic that proves Markov's principle, Proceedings of LICS'10, Edinburgh, p. 50-56, 2010.

The presentations will be held during the first hour, 10.45-11.30. The sections of the paper needs to be presented, and a relevant example worked out (a proof term for a proof, a reduction of a term, etc.) During the second hour, 11.45-12.30, the teachers will go deeper into the material presented.

The current schedule for the presentations is:

11 november	section 11.15 of the Scheme report	Boy Boshoven
	(see also Sussman & Steele and Reynolds)
18 november	section 2 of Sabry & Felleisen	Wouter Smeenk
25 november	section 3 of Sabry & Felleisen	Fabio Zanasi
	(see also types in the CPS transform)
2 december	sections 2, 3 & 6 of Griffin	Tessa Matser
9 december	sections 1, 2 & 3 of Krebbers (see also Parigot)	Abel Planting
13 december	section 2 of Ariola & Herbelin	Matus Tejiscak
16 december	sections 3 & 4 of Ariola & Herbelin	(Robbert)
20 december	intro & section 1 of Herbelin	Bas Westerbaan
	(see also a older version of the same paper)
23 december	section 2 of Herbelin	Bram Westerbaan

Individual Coq exercise

Each student will be doing a small Coq formalization assignment. This assignment will be chosen by the student from the following list of suggestions.

Final test

The test covers both the contents of the course by Femke as well as the contents of the research paper taught by Herman and Robbert. The test will be

Tuesday, 17 january 2012, 10.30-12.30, HG00.308

Some tests:

See the "exercises on paper" above too, which are also exercises from old tests.

Grading

Each participant will get three grades: one for the presentation in the second part of the course, one for the Coq work, and one for the test. The final grade will be the average of these three grades.

There will be no grade for the practical work for Femke's course in ProofWeb, but this work will need to be finished to be allowed to pass the course.