FI:I008 Computational Logic - Course Information

I008 Computational Logic

Extent and Intensity

3/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).

Teacher(s)

prof. RNDr. Jiří Zlatuška, CSc. (lecturer)

Guaranteed by

Contact Person: prof. RNDr. Jiří Zlatuška, CSc.

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.

fields of study / plans the course is directly associated with

• Informatics (programme FI, B-IN)
• Informatics (programme FI, M-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)
• Information Technology (programme FI, B-IN)

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 and dual 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.

Language of instruction

Czech

• Enrolment Statistics (Spring 1997, recent)
  
• Permalink: https://is.muni.cz/course/fi/spring1997/I008