FI:IV029 Transparent Intensional Logic - Course Information

IV029 Introduction to Transparent Intensional Logic

Extent and Intensity

2/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).

Teacher(s)

prof. RNDr. Marie Duží, CSc. (lecturer), doc. RNDr. Aleš Horák, Ph.D. (deputy)

Guaranteed by

doc. RNDr. Aleš Horák, Ph.D.
Department of Machine Learning and Data Processing – Faculty of Informatics
Supplier department: Department of Machine Learning and Data Processing – Faculty of Informatics

Timetable

Thu 30. 9. 14:00–17:50 C525, Thu 14. 10. 14:00–17:50 C525, Thu 21. 10. 14:00–17:50 C525, Thu 4. 11. 14:00–17:50 C525, Thu 18. 11. 14:00–17:50 C525, Thu 2. 12. 14:00–17:50 C525, Thu 9. 12. 14:00–17:50 C525

Prerequisites

Foundations of the first-order predicate 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

there are 74 fields of study the course is directly associated with, display

Course objectives

Students enrolled in the course will obtain knowledge on a rather new discipline Logical semantics and knowledge representation that belongs to the fundamentals of artificial intelligence.
Adequate analysis of the meaning of natural language expressions consists in discovering algorithmically structured procedure known as TIL construction encoded by the expression. The analysis should be as fine-grained as possible so that the inference machine is neither over-inferring nor under-inferring. At the same time it is necessary to formalize the results of an analysis so that they are computationally tractable.

Learning outcomes

The students will learn to solve relevant problems in such a way that undesirable paradoxes and inconsistencies are avoided. The formalized analysis can be used in knowledge-base systems of artificial intelligence, in automatic translation, in multi-agent systems, etc.

Syllabus

• Deductive reasoning as the subject of logic
• Paradoxes stemming from a coarse-grained analysis of premises
• Frege-Church semantic schema; denotational vs. procedural semantics
• Transparent Intensional Logic; constructions as procedures
• Simple theory of types comprising non-procedural objects; epistemic base; intensions and extensions
• Ramified theory of types comprising procedural objects
• Extensional, intensional and hyperintensional context
• Extensional rules: Leibniz’s law and existential quantification into
• The problem of non-existence and modalities
• Ontology as a logic of intensions; conceptual analysis
• Logic of attitudes; hyperintensional knowledge representation
• Dynamic reasoning and tense logics
• Communication of agents in a multi-agent system

Literature

• DUŽÍ, Marie and Pavel MATERNA. TIL jako procedurální logika : průvodce zvídavého čtenáře Transparentní intensionální logikou. 1. vyd. Bratislava: Aleph, 2012, 412 s. ISBN 9788089491087. info
• DUŽÍ, Marie, Bjorn Thoring F. JESPERSEN and Pavel MATERNA. Procedural Semantics for Hyperintensional Logic. First edition. Berlin: Springer Verlag, 2010, 552 pp. Logic, Epistemology, and the Unity of Sciences, 17. ISBN 978-90-481-8811-6. info
• TICHÝ, Pavel. The foundations of Frege's logic. Berlin: Walter de Gruyter, 1988, xiii, 303. ISBN 3110116685. info

Teaching methods

lectures, discussions, consultations, solving basic problems via e-mail

Assessment methods

Written exam with solution of basic tasks, oral colloquium.

Language of instruction

Czech

Further comments (probably available only in Czech)

Study Materials
The course is taught annually.

Teacher's information

http://www.cs.vsb.cz/duzi/

• Enrolment Statistics (Autumn 2021, recent)
  
• Permalink: https://is.muni.cz/course/fi/autumn2021/IV029