IV029 Introduction to Transparent Intensional Logic

Faculty of Informatics
Autumn 2025
Extent and Intensity
2/0/0. 2 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
In-person direct teaching
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 25. 9. to Thu 18. 12. each odd Thursday 14:00–17:50 A321
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
Abstract
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.
Key topics
  • 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
Study resources and 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
  • Pavel Tichý. The Foundations of Frege's logic. Berlin: Walter de Gruyter, 1988, xiii, 303. ISBN 3110116685.
Approaches, practices, and methods used in teaching
lectures, discussions, consultations, solving basic problems via e-mail
Method of verifying learning outcomes and course completion requirements
Written exam with solution of basic tasks, oral colloquium.
Language of instruction
English
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://www.cs.vsb.cz/duzi/
Students can find additional course materials at: http://www.cs.vsb.cz/duzi/
Consultations are also available via email: marie.duzi@vsb.cz
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2021, Autumn 2022.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2025/IV029