Certified Programming with Dependent Types

McMaster University — Graduate Course CAS 763

Winter 2014


Dr. Wolfram Kahl, ITB-245 , ext: 27042, kahl@mcmaster.ca.

Calendar Description

Type systems featuring types depending on values empower not only logics that can capture common mathematical formalisations more naturally than conventional first-order or higher-order logics; they also empower programming languages where specifications may be incorporated into the type of programs, and well-typed programs are thus guaranteed to satisfy these specifications.

Students will learn at least one dependently-typed programming language in depth. The course will also cover associated foundations, including relevant type theories and the Curry-Howard correspondence, as well as useful patterns of formalising, programming, and proving in dependently-typed programming languages.


The main language will be Agda.



Academic Ethics

You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity.

Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: “Grade of F assigned for academic dishonesty”), and/or suspension or expulsion from the university.

It is your responsibility to understand what constitutes academic dishonesty. For information on the various kinds of academic dishonesty please refer to the Academic Integrity Policy, specifically Appendix 3, located at http://www.mcmaster.ca/academicintegrity

The following illustrates only three forms of academic dishonesty:

  1. Plagiarism, e.g. the submission of work that is not one's own or for which other credit has been obtained.
  2. Improper collaboration in group work.
  3. Copying or using unauthorized aids in tests and examinations.


“The Faculty of Engineering is concerned with ensuring an environment that is free of all adverse discrimination. If there is a problem that cannot be resolved by discussion among the persons concerned, individuals are reminded that they should contact the Department Chair, the Sexual Harassment Office or the Human Rights Consultant, as soon as possible.”

Emergency Changes

The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.

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