Logical Reasoning and Programming

Semestr: Winter

Range: 2+2c

Completion:

Credits: 6

Programme type: Bachelor

Study form: Fulltime

Course language: Czech

Time table at FEE

Summary:

The course's aim is to explain selected significant methods of computational logic. These include algorithms for propositional satisfiability checking, logical programming in Prolog, and first-order theorem proving and model-finding. Time permitting, we will also discuss some complexity and decidability issues pertaining to the said methods.

Keywords:

Course syllabus:

1 Introduction, propositional logic, and SAT
2 SAT solving - resolution, DPLL, and CDCL
3 Prolog
4 Prolog
5 Prolog
6 Prolog
7 Answer set programming
8 First-order logic and semantic tableaux
9 Model finding methods
10 Resolution and equality in FOL
11 ANL loop, superposition calculus
12 Proof assistants
13 Complexity and decidability issues, SMT

Seminar syllabus:

Literature:

Bundy, A.: The Computational Modelling of Mathematical Reasoning, Academic Press 1983 (Bundy).
Clarke, E.M. Jr., Grumberg, O. and Peled, D. A.: Model Checking, The MIT Press, 1999, Fourth Printing 2002.
Newborn, M.: Automated Theorem Proving: Theory and Practice
Robinson, J.A., Voronkov, A. (Eds.): Handbook of Automated Reasoning (in 2 volumes). Elsevier and MIT Press 2001
Weidenbach, Ch.: SPASS: Combining Superposition, Sorts and Splitting (1999)
Wos, L. and Pieper, G.W.: A Fascinating Country in the World of Computing: Your Guide to Automated Reasoning
Flach P.: Simply Logical ? Intelligent Reasoning by Example, John Wiley, 1998
Bratko I.: Prolog Programming for Artificial Intelligence, Addison-Wesley, 2011

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