I008 Computational Logic

Faculty of Informatics
Spring 2002
Extent and Intensity
2/1. 3 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Lubomír Popelínský, Ph.D. (lecturer)
Mgr. Miloslav Nepil, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Mojmír Křetínský, CSc.
Department of Computer Science – Faculty of Informatics
Contact Person: doc. RNDr. Lubomír Popelínský, Ph.D.
Timetable
Wed 10:00–11:50 D1 and each odd Monday 18:00–19:50 D1 and each even Monday 18:00–19:50 D1
  • Timetable of Seminar Groups:
I008/01: No timetable has been entered into IS.
I008/02: No timetable has been entered into IS.
Prerequisites
Completion of M007 Mathematical Logic is welcome, but it is not strictly required.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 253 student(s).
Current registration and enrolment status: enrolled: 0/253, only registered: 0/253, only registered with preference (fields directly associated with the programme): 0/253
fields of study / plans the course is directly associated with
Syllabus
  • Essentials of proof theory in propositional and first-order predicate logic: sequent calculus and resolution.
  • Technical notions: trees, König lemma, formulae analysis, abstract truth-tables, clausal form.
  • Proofs in the propositional logic: system G, soundness, completeness, proof structure, compactness, cut elimination; resolution, refinements of the resolution, Horn clauses, SLD-resolution.
  • Proof in the propositional logic: substitution, system G, compatness, Skolem-Löwenheim theorem, Herbrand theorem; prenex form, Skolemization, unification, resolution and its refinements, Horn clauses, SLD-resolution.
  • Logic programming: SLD-serching, SLD-resolution trees, semantics.
  • Inductive logic programming.
  • Modal logic, nonmonotonic inference, many-valued logic, inference with uncertainty
Literature
  • FITTING, Melvin. First order logic and automated theorem proving. 2nd ed. New York: Springer, 1996, xvi, 326. ISBN 0387945938. info
  • NERODE, Anil and Richard A. SHORE. Logic for applications. New York: Springer-Verlag, 1993, xvii, 365. ISBN 0387941290. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 1995, Spring 1997, Spring 1998, Spring 1999, Spring 2000, Spring 2001.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/spring2002/I008