Type of studies | Title |
---|---|
Doctoral Academic Studies | Mathematics in Engineering (Godina: 2, Winter) |
Doctoral Academic Studies | Mathematics in Engineering (Godina: 1, Winter) |
Category | Scientific-professional |
Scientific or art field | Teorijska i primenjena matematika |
Interdisciplinary | Yes |
ECTS | 10 |
To acquire knowledge in theoretical foundations of interactive theorem provers. Practical work with interactive theorem provers Coq, ISABELL / HOL. Student involvement in scientific research.
Knowledge about theoretical foundations and practical work with interactive theorem proofs. Participating in research in the particular aspect of the subject area, based on student`s interests and in cooperation with researchers from the region and abroad.
Theoretical foundations of interactive theorem provers, aka proof assistants. Basic notions of type theory. Simly typed systems. Basic definitions and properties. Confluency and normalisation porperties. Polymorphic types. The strong normalisation theorem, its proof and importance as a Goedel sentence. Dependent types. Theory of constructions (Coquand). Introduction to basic concepts of interactive theorem proving. Proof assistants: COQ and ISABELLE.
The presentation of the theoretical part during the lectures is followed by the characteristic examples which contribute to better understanding of the subject matter. The students are expected to individually study the additional literature which they discuss with the . subject teacher at the consultation classes.
Authors | Title | Year | Publisher | Language |
---|---|---|---|---|
2002 | English | |||
Zoran Ognjanović, Silvia Gilezan | Teorijsko računarstvo | 2018 | Serbian language | |
2018 | English | |||
2018 | English |
Course activity | Pre-examination | Obligations | Number of points |
---|---|---|---|
Oral part of the exam | No | Yes | 50.00 |
Term paper | Yes | Yes | 50.00 |
Full Professor
Full Professor
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© 2024. Faculty of Technical Sciences.