Course opens in winter semester 2011/2012. First lecture: Tue 20 September 2011 in lecture room F-109. See more details below.

Computational Logic 2-AIN-108

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Course name and code: Computational Logic (2-AIN-108)
Prerequisite courses: none
Available in/recommended study year: Winter semester / 1
Form and # of hours/week: L - lecture (2), P - practicals (2)
Credits: 5
Evaluation (semester/exam): 50/50
Course webpage: you are reading it
Information sheet: 2-AIN-108 information sheet
Teacher(s): Martin Homola, Martin Baláž (lectures), Alexander Šimko(labs)

Short description:

The course introduces logic as a method for computational problem solving. It introduces multiple practical logics and logic based systems such as logic programs, modal logics, description logics and ontologies, multi context systems, etc. with readily available reasoners.

Offered in these study programs: Compulsory elective for the Master program in Applied Informatics

Recommendations: none

Basic Information

  • lectures: Tue 13:10 2h F-109
  • labs: Wed 9:50 2h II
  • labs: Wed 8:10 2h H6
  • midterm: Wed 2 Nov 2011 9:50 in room II

Evaluation and Conditions

There will be a midterm and a final exam. During the semester you can earn evaluation points at the practicals (possibly for homeworks) and by participating on the wiki-based collaborative lecture notes. You can earn up to 102 points:

  • practicals: 3 pts every week (6 weeks)
  • lecture notes: 3 pts every week (12 weeks)
  • midterm: 15 pts
  • exam: 30 pts

The following grading scale will be used:

  • A = 80 pts and more
  • B = 71 pts and more
  • C = 62 pts and more
  • D = 53 pts and more
  • E = 44 pts and more
  • Fx = less than 44 pts


  1. Propositional Logic (PL) and First Order Logic (FOL)
    • The language of PL and FOL
    • Semantics: interpretation and model
    • Satisfiability and logical consequence
    • Proof theory: deduction, skolemization, unification, resolution
  2. Modal Logic
    • Modal operators box and diamond
    • System K
    • Basic axioms of modal logic
    • Semantics: Kripke structures
    • Basic axioms of modal logic
    • Systems T, B, S4 and S5 (briefly)
  3. Description Logics (DL) and Ontologies
    • Ontologies
    • Description logic ALC: syntax and semantics
    • Tableaux reasoning algorithm
    • More expressive DL (briefly)
    • Applications
  4. Logic Programming (LP)
    • Horn clauses
    • SLD-resolution and Prolog
    • Definite LP
    • Normal LP
    • Stable model semantics and Answer Set Programming
    • Extensions: extended, disjunctive and nested LP (briefly)
  5. Logic of Context
    • Problem of generality in AI, need of context
    • Context as a box
    • Context properties and operations
    • Local Model Semantics
    • Multi-context Systems
  6. Dynamic Logic
  7. Epistemic Logic
  8. Temporal Logic (♠)
  9. Multi-valued Logics (♠)

♠) The last two topics of the course may be left out due to time constraints

Lecture Notes

There is no coherent study-material for this course. You are advised to take notes. To facilitate this, we have created dedicated lecture-notes pages in the students' wiki where you are all asked to regularly contribute in a collaborative fashion. Your goal is to keep coherent, full-scope, up-to-date lecture notes, covering all material from the lectures. And at least briefly, also the practicals. For your activity you can earn up to 3 pts per week. Visit the lecture notes.

Lecture slides

  1. Propositional Logic
  2. First-Order Logic
  3. Description Logic ALC
  4. Reasoning with ALC
  5. Logic Programming - Prolog


  1. Resolution
Revision as of 15:36, 1 November 2011 by Balaz (Talk | contribs)