Title:  Modern Theoretical Computer Science 

Code:  TID 

Ac.Year:  2009/2010 

Term:  Winter 

Curriculums:  

Language of Instruction:  Czech 

Public info:  http://www.fit.vutbr.cz/study/courses/TID/public/ 

Completion:  examination (verbal) 

Type of instruction:  Hour/sem  Lectures  Sem. Exercises  Lab. exercises  Comp. exercises  Other 

Hours:  39  0  0  0  13 

 Examination  Tests  Exercises  Laboratories  Other 

Points:  60  0  0  0  40 



Guarantor:  Meduna Alexander, prof. RNDr., CSc., DIFS 

Lecturer:  Masopust Tomáš, RNDr., Ph.D., DIFS Meduna Alexander, prof. RNDr., CSc., DIFS 
Faculty:  Faculty of Information Technology BUT 

Department:  Department of Information Systems FIT BUT 

Prerequisites:  


Learning objectives: 

  Indepth overview of modern theoretical computer science. 
Description: 

  This course discusses advanced topics of theoretical computer science. It concentrates on the very recent research in the area of automata, formal languages, formal models, computability, complexity, and translation. The relation between theoretical computer science and mathematics is explained in detail. Philosophical aspects of theoretical computer science are discussed as well. 
Knowledge and skills required for the course: 

  formal languages 
Learning outcomes and competences: 

  Thorough grasp of concepts and results achieved in modern theoretical computer science. 
Syllabus of lectures: 


 Introduction.
 Pure formal models.
 Regulated formal models; matrix and programmed rewriting.
 Parallel formal models; L systems; semiparallel formal models; scattered rewriting.
 Universal formal systems; selective rewriting; grammar systems.
 Formal models for natural languages.
 Algbraic approach to automata; relations and translations.
 Algbraic approach to formal languages; free monoids.
 More on the relationship between mathematics and computer science; graphs, categories.
 New approach to complexity and computability.
 Theoretical computer science and philosophy; Russell, Wittgenstein, Godel, Carnap, Husserl, Marcel, Heidegger.
 Crucial trends introduced during the last decade.
 Expected future trends; summary.

Syllabus  others, projects and individual work of students: 


 An essay based on selected scientific studies dealing with the teoretical computer science area related to the student's dissertation

Fundamental literature: 


 John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: Introduction to Autotmata Theory, Boston, AddisonWesley, 2001
 many very recent papers, scientific reports and books

Study literature: 


 copy of lectures
 Meduna, A.: Automata and Languages. London, Springer, 2000
 John E. Hopcroft, Rajeev Motwani, Jeffrey D. Ullman: Introduction to Autotmata Theory, Boston, AddisonWesley, 2001

Controlled instruction: 

 
1. Paper during the semester:
40 points = 30 for essay + 10 for presentation.
The topic has to be related to the topic of the course, approved by both guarantee (Prof. Meduna) and the supervisor.
The paper has to be submitted by Monday of the week of presentation. Send it by email to masopust@fit.vutbr.cz, with a subject "TIDpaper". Attention! If the paper is sent on Tuesday of the week of presentation, loss of 5 points follows. Any later sening will be discussed individually.
After the presentation, the paper can be improved and resubmit.
2. Oral exam consists of two questions, 30 points each.

