MAT-63856 Advanced Applied Logics, 5 cr
Additional information
This course is an extended version of the many-valued logic part of the former Applied Logics course lectured last time in autumn 2011.
It is not possible to include both this course and Applied Logics course to one's curricula. This course will be lectured next time during the academic year 2016-17.
Suitable for postgraduate studies
Will not be lectured year 2015-2016
Person responsible
Esko Turunen
-->Learning Outcomes
Undersanding the role of non classical logics in real life applications. The inreplay of logical systems and various algebraic structures via Lindembaum-Tarski theorem.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Introduction to mathematical fuzzy logic; real life situations where neither black-or-white logic nor statistical methods are applicable. | Graded similarity as a base of fuzzy reasoning. Fuzzy IF-THEN rules. Constructing real world applications by means of multiple valued logic. Para consistent logic in solving decision making problems. | |
| 2. | Monoidal Logic as a basis of various non-standard logics: linear logic, intuitionistic logic, basic fuzzy logic, Lukasiewicz logic. | Residuated lattices, Girard monoids, Heyting algebras, BL-algebras, Wajsberg algebras and MV-algebras. Semantics, syntax and completeness of various non-standard logics. |
Instructions for students on how to achieve the learning outcomes
Attendind and take actively part into lessons and excercices, more than 50 points in the final examimation.
Assessment scale:
Numerical evaluation scale (1-5) will be used on the course
Partial passing:
Study material
| Type | Name | Author | ISBN | URL | Additional information | Examination material |
| Book | Mathematics Behind Fuzzy Logic | Esko Turunen3-7908-1221-8 | No | |||
| Lecture slides | Esko Turunen | Yes |
Correspondence of content
There is no equivalence with any other courses