UIMOIBK015 Logic and Logic Programming

Faculty of Philosophy and Science in Opava
Winter 2024
Extent and Intensity
0/0/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Lucie Ciencialová, Ph.D. (lecturer)
RNDr. Šárka Vavrečková, Ph.D. (lecturer)
RNDr. Radka Poláková, Ph.D. (assistant)
Guaranteed by
RNDr. Radka Poláková, Ph.D.
Institute of Computer Science – Faculty of Philosophy and Science in Opava
Prerequisites
Introduction to Logic
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The course follows the course Introduction to Logic. We deal with several logic systems, the last one, Clause Axiomatic System, is used as a basis for logic programming. In the course, the students deal mainly with theoretical bases of logic programming, ie the basic idea, possibilities and procedures. We move from the procedures demonstrated in clause Logic to programming in the Prolog programming language.
Learning outcomes
Students will be able to:
- use deduction and derivation in logical systems;
- describe the Clause axiomatic system;
- apply principles of logic programming to a simple practical problem.
Syllabus
  • 1.-2. Deduction and derivation of conclusion.
  • 3. Formal systems, axioms, deduction.
  • 4.-5. Systems of natural deduction.
  • 6.-8. Clausal logic.
  • 9. Clausal axiomatic system.
  • 9.-11. Logic programming in Prolog.
  • 12.-13. Principles of logic programming.
Literature
    required literature
  • VAVREČKOVÁ, Šárka. Logika a logické programování. Opava: Ústav informatiky, Filozoficko-přírodovědecká fakulta v Opavě, Slezská univerzita v Opavě, 2023. 143 s.
    recommended literature
  • DUŽÍ, Marie. Matematická logika. Skripta VŠB-TU v Ostravě. Skripta jsou průběžně aktualizována.
  • SWI-Prolog Reference Manual [online]. SWI-Prolog.org. Průběžně aktualizováno, platné pro aktuální verzi Prologu. Dostupné na: https://www.swi-prolog.org/pldoc/doc_for?object=manual
  • GALLIER, Jean H. Logic for computer science: foundations of automatic theorem proving. Second edition. Mineola, New York: Dover Publications, 2015. ISBN 978-0-486-78082-5. info
  • NIEVERGELT, Yves. Logic, mathematics, and computer science: modern foundationswith practical applications. Second edition. New York: Springer, 2015. ISBN 978-1-4939-3222-1. info
  • TRLIFAJOVÁ, Kateřina and Daniel VAŠATA. Matematická logika. Praha: České vysoké učení technické, 2013. ISBN 978-80-01-05342-3. info
  • JIRKŮ, Petr and Jiřina VEJNAROVÁ. Formální logika: neformální výklad základů formální logiky. Vyd. 2. Praha: Oeconomica, 2005. ISBN 978-80-245-0974-7. info
  • LUKASOVÁ, A. Logické základy umělé inteligence, 2. formalizace a automatizace dedukce. Ostrava: Ostravská univerzita, 1997. info
Teaching methods
Interactive lectures
Tutorials
Assessment methods
Credit: compulsory attendance at seminars min. 75%, written and online test.
Exam: test.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on the extent and intensity of the course: 12 hod/sem.
The course is also listed under the following terms Winter 2020, Winter 2021, Winter 2022, Winter 2023.
  • Enrolment Statistics (recent)
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