Proving with computer assistanceOrganization logo: Eindhoven University of Technology

Over deze cursus

Please note that the the lecture is not completely in slot A. The lectures are scheduled on Thursdays hours 3+4 and 5+6

  • Type systems, especially simply typed, dependemtly typed, polymorphically typed and higher order typed lambda calculi.
  • Type systems in programming languages: implicit/explicit typing, polymorphic types, inductive and abstract data types; the typing algorithm of Hindley-Milner.
  • The Curry-Howard isomorphism (or 'formulas-as-types' interpretation).
  • Translation of logical propositions in first and higher order logic to a type system.
  • Natural Deduction proofs with the proof assistant Coq.
  • The formalization of a problem in computer science (the correctness of an algorithm) in the proof assistant Coq. (Project)


  • The primary goal is to understand interactive theorem provers ("proof assistants"), and to learn how to use a proof assistant to formalize a program and to verify its correctness to the currently highest possible degree.
  • The secondary goal is to understand type systems, from the point of view of (functional) programming and from the point of view of logic, following the Curry-Howard interpretation of "formulas-as-types".
    Combining these two viewpoints, type theory forms the theoretical basis for the proof assistant Coq. The proof assistant Coq will be studied and used for a formalization project.


2IT60 Logic and set theory

  • Code
  • Studiepunten
    ECTS 5
  • Email contactpersoon
Als er nog iets onduidelijk is, kijk even naar de FAQ van TU Eindhoven.


  • Startdatum

    5 februari 2024

    • Einddatum
      7 april 2024
    • Periode *
      Blok GS3
    • Locatie
    • Voertaal
    • Inschrijven tussen
      15 nov 00:00 - 7 jan 2024
Dit aanbod is voor studenten van Utrecht University