Logical Reasoning and Programming

Relations:

During a review of study plans, the course B4M36LUP can be substituted for the course BE4M36LUP.

It is not possible to register for the course BE4M36LUP if the student is concurrently registered for or has already completed the course B4M36LUP (mutually exclusive courses).

It is not possible to register for the course BE4M36LUP if the student is concurrently registered for or has previously completed the course B4M36LUP (mutually exclusive courses).

Course guarantor:

Filip Železný

Lecturer:

Karel Chvalovský, Ondřej Kuželka

Tutor:

Karel Chvalovský, Jan Tóth

Supervisor:

Department of Computer Science

Synopsis:

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.

Requirements:

Syllabus of lectures:

1Introduction and propositional logic (recap)

2SAT solvingresolution, DPLL, and CDCL

3SAT solving (cont'd) and introduction to SMT

4Satisfiability modulo theories (SMT)

5Introduction to Prolog

6Recursion, lists

7SLD trees, cut, negation

8Search in Prolog

9Answer set programming

10First-order logic

11First-order resolution

12Equality and model finding

13Proof assistants

Syllabus of tutorials:

Study Objective:

Study materials:

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

Note:

Further information:

https://cw.fel.cvut.cz/wiki/courses/lup/start

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon	roomKN:E-126 Chvalovský K. Kuželka O. 09:15–10:45 (lecture parallel1) Karlovo nám. roomKN:E-328 Chvalovský K. Tóth J. 14:30–16:00 (lecture parallel1 parallel nr.101) Karlovo nám.
Tue
Wed
Thu
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

• Open Informatics - Artificial Intelligence (compulsory course of the specialization)