COMP11212 Fundamentals of Computation syllabus 2019-2020
The building of real-life computing systems, e.g. mobile phone, tv/video remote control, internet shopping, air-traffic control, internet banking, etc., is always a complex task. Mistakes can be very annoying, costly and sometimes life threatening. Methods and techniques to support the building and understanding of such systems are essential. This course unit provides an introduction to the basic computer science ideas underlying such methods. It is also a part of, and an introduction to, the Modelling and Rigorous Development theme.
This course unit provides a first approach to answering the following questions. What methods are there that can help understanding complicated systems or programs? How can we make sure that a program does what we intend it to do? How do computers go about recognizing pieces of text? If there are two ways of solving the same problem, how can we compare them? How do we measure that one of them gives the solution faster? How can we understand what computers can do in principle, and are there problems that are not solvable by a computer?
There are two groups of topics covered. One of the lectures will be an introduction to the course unit, and one is reserved for revision. That leaves 10 lectures for each part.
The first part (10 lectures) is concerned with expressing particular strings, and collections of strings, and here we will introduce the methods by which a computer goes about it. The ability to recognize key strings (such as programming constructs or variable names) are, for example, required in every compiler, but they are also used by search engines such as Google.The formalisms introduced include finite state automata, regular expressions (most often used in pattern matching), (regular) grammars. The emphasis is on students being able to use these formalisms to solve problems.
The second half of the course (10 lectures) provides an introduction to the topics of complexity, correctness and computability. There are four big topics:
• the WHILE programming language
• asymptotic complexity
• partial and full program correctness
22 in total, 2 per week
1 per week (starting in week 2)
Students present their solutions to set exercises once a week in examples classes. They receive oral feedback to their solutions, and have the opportunity to improve some of their original answers for further feedback.
- Assessment written exam (2 hours)
- Lectures (24 hours)
- Practical classes & workshops (11 hours)
- Analytical skills
- Oral communication
- Problem solving
On successful completion of this unit, a student will be able to:
- Describe formal languages using a variety of mechanisms.
- Define classes of languages and demonstrate translations between those classes.
- State key properties of classes of languages and determine when those properties hold.
- Define models of computation and use those models to demonstrate what can and cannot be computed.
|Introduction to automata theory, languages, and computation (3rd edition)||Hopcroft, John E. and Rajeev Motwani and Jeffrey D. Ullman||9781292039053||Pearson Education||2014||✖|
|Logic in Computer Science: modelling and reasoning about systems (2nd edition)||Huth, Michael and Mark Ryan||9780521543101||Cambridge University Press||2004||✖|
|Introduction to the theory of computation (3rd edition)||Sipser, Michael||9781133187813||Cengage Learning||2013||✖|
Course unit materials
Links to course unit teaching materials can be found on the School of Computer Science website for current students.