460-4034/01 – Advanced Logic (VPL)

Gurantor departmentDepartment of Computer ScienceCredits4
Subject guarantorprof. RNDr. Marie Duží, CSc.Subject version guarantorprof. RNDr. Marie Duží, CSc.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation2015/2016
Intended for the facultiesFEIIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
DUZ48 prof. RNDr. Marie Duží, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+0

Subject aims expressed by acquired skills and competences

The goal of the course is providing knowledge on particular methods of reasoning and automatic theorem proving. We focus on the development of these methods in the area of relational and algebraic theories and philosophy of mathematics. The course also aims at using the proof methods in theoretical computer science.

Teaching methods

Lectures
Seminars
Individual consultations
Tutorials

Summary

The goal of the course is providing knowledge on particular methods of reasoning and automatic theorem proving. We focus on the development of these methods in the area of relational and algebraic theories and philosophy of mathematics. The course also aims at using the proof methods in theoretical computer science.

Compulsory literature:

E. Mendelson. Introduction to Mathematical Logic. Chapman & Hall/CRC, 2001. P. Hájek: Metamathematics of Fuzzy Logic. Kluwer, 1998.

Recommended literature:

P. Hájek: Metamathematics of Fuzzy Logic. Kluwer, 1998.

Way of continuous check of knowledge in the course of semester

two written credit tests

E-learning

Další požadavky na studenta

There are not defined other requirements for student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Proof calculi, consistence and completeness. Hilbert-style proof calculus. Logical theories; completeness and incompleteness of a theory, decidability. Theory of relations; equivalence and orderings. Algebraic theories; groups, rings and fields. Lattice theory, conceptual lattices. Theories of arithmetic. Gödel results; incompleteness theorems. Theory of recursive functions and algorithms. Intensional logics and Kripke semantics.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2014/2015 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Optional study plan
2014/2015 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2014/2015 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Optional study plan
2013/2014 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Optional study plan
2012/2013 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Optional study plan
2011/2012 (N2647) Information and Communication Technology (2612T059) Mobile Technology K Czech Ostrava 1 Optional study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology P Czech Ostrava 1 Optional study plan
2010/2011 (N2647) Information and Communication Technology (2612T025) Computer Science and Technology K Czech Ostrava 1 Optional study plan
2010/2011 (N2647) Information and Communication Technology (2612T059) Mobile Technology P Czech Ostrava 1 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner