IB000 Induction and Recursion

Faculty of Informatics
Autumn 2003
Extent and Intensity
2/0. 2 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Antonín Kučera, Ph.D. (lecturer)
doc. RNDr. Tomáš Brázdil, Ph.D. (assistant)
Mgr. Jan Holeček (assistant)
RNDr. Pavel Šimeček, Ph.D. (assistant)
Mgr. Jitka Žídková (assistant)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: prof. RNDr. Antonín Kučera, Ph.D.
Timetable
Mon 10:00–11:50 TA (Aula Technická)
Prerequisites (in Czech)
! I000 Induction and Recursion
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
This course is focused on understanding basic mathematical constructions necessary for derscribing program semantics and formalization of the relationship between intuitive program constructs and their mathematical meaning. This is essential for building up a set of basic concepts needeed fom other courses which fit theoretical essentials of the dicipline.
Syllabus
  • Proposotional and first order logics (an introduction).
  • Basic notions: functions, graphs, equivalence relation, trees.
  • Induction and its applications: defining sets and functions using induction.
  • Data types, lists, and implementation of general data types using lists.
  • Languages over data types and their semantics: terms, conditionals, functions; semantics of call-by-value and call-by-name.
  • Programming using induction, proving recursive programs correct.
  • Universal machine for the language of recursive programs, undecidability of the Halting Problem.
Literature
  • WAND, Mitchell. Induction, recursion, and programming. New York: North Holland, 1980, 202 s. ISBN 0444003223. info
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2002, Autumn 2004, Autumn 2005, Spring 2006, Autumn 2006, Autumn 2007, Spring 2008, 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, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 2003, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2003/IB000