460-6014/01 – Transparent Intensional Logic (TIL)

Gurantor departmentDepartment of Computer ScienceCredits10
Subject guarantorprof. RNDr. Marie Duží, CSc.Subject version guarantorprof. RNDr. Marie Duží, CSc.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesDoctoral
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 Examination 28+0
Part-time Examination 28+0

Subject aims expressed by acquired skills and competences

The course provides methods of logical analysis of languages.

Teaching methods

Seminars
Individual consultations

Summary

Students will get acquainted with the problems of logical semantics and knowledge representation. A fine-grained reprezentation of an expression meaning consists in discovering an algorithmically structured procedure, known as TIL construction, represented by the sense of the expression. This analysis must be precise and rigorous in order to be able to infer relevant consequences from given assumptions. Moreover, the analysis results must be formalized in such a way that they can be processed automatically. The students will learn to solve such problems in a way preventing undesirable paradoxes of analysis. Correct analysis is a necessary condition for valid inferences so that it can serve as a base for a fine-grained knowledge reprezentation in knowledge based systems of artifical intelligence. Moreover, such a TIL construction makes it possible to apply methods of automated translation and communication in multi-agent systems.

Compulsory literature:

Duží, M., Jespersen B., Materna, P. (2010): Procedural Semantics for Hyper-intensional Logic. Sprinter. Duží, M., Materna P.: Constructions. http://til.phil.muni.cz/text/constructions_duzi_materna.pdf

Recommended literature:

Materna P.: Concepts and Objects. Acta Philosophica Fennica, Vol. 63, Helsinki 1998. Tichý, P.: The Foundations of Frege's Logic. De Gruyter 1988.

Way of continuous check of knowledge in the course of semester

Ústní zkouška.

E-learning

Other requirements

Additional requirements for the student are not.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

- TIL Semantic schema, procedural semantics - Basic definitions; ramified theory of types, constructions - Method of analysis, Parmenides principle - Quantifiers (general and existential), restricted quantifiers, singularizers - Empirical and analytical expressions - Partiality, compositionality, requisites/prerequisites - Inference rules, Beta-conversion - Three kinds of context, substitution method - Procedural isomorphism - Logic of attitudes - Logic of intensions, intensional essentialism - Theory of concepts, modalities

Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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2021/2022 (P0541D170005) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory type B study plan
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2019/2020 (P0613D140005) Computer Science P Czech Ostrava Choice-compulsory type B study plan
2019/2020 (P0541D170005) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory type B study plan
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2018/2019 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory study plan
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2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory study plan
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2017/2018 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K Czech Ostrava Choice-compulsory study plan
2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory study plan
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2016/2017 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K Czech Ostrava Choice-compulsory study plan
2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory study plan
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2015/2016 (P1807) Computer Science, Communication Technology and Applied Mathematics (1801V001) Informatics K Czech Ostrava Choice-compulsory study plan
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2010/2011 (P1807) Computer Science, Communication Technology and Applied Mathematics (1103V036) Computational and Applied Mathematics P Czech Ostrava Choice-compulsory study plan
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