Theory of Computation

Description

This course introduces formal models of computation and the problems that they can solve. It presents Turing machines and equivalent models of computation. It also discusses the fundamental limitations of what can be computed. It covers finite state machines, regular expressions and regular grammars as well as context-free languages and grammars and non-context free grammars. It includes algorithms and decision procedures for regular and context-free languages, Turing machine, decidability and complexity analysis

Availability

Callaghan

  • Semester 1 - 2017

Learning Outcomes

On successful completion of the course students will be able to:

1. Understand the importance of automata as a modelling tool of computational problems

2. Understand the role of context-free languages and their limitations

3. Understand the basis of theory of computation, in particular the role of key problems in defining classes of equivalent problems from a computational perspective

4. Understand the limitations of computational procedures

Content

  1. Preliminaries (review of basic mathematical concepts)
  2. Finite automata
  3. Language theory
  4. Turing machine
  5. Decidability and reducibility
  6. Complexity theory 

Assumed Knowledge

MATH1510 Discrete Mathematics, SENG1120 Data Structures

Assessment Items

Written Assignment: Assignment 1

Written Assignment: Assignment 2

In Term Test: Class Test

Formal Examination: Formal Examination *

* This assessment has a compulsory requirement.

Compulsory Requirements

In order to pass this course, each student must complete ALL of the following compulsory requirements:

Course Assessment Requirements:

  • Formal Examination: Minimum Grade / Mark Requirement - Students must obtain a specified minimum grade / mark in this assessment item to pass the course. - Students must obtain a specified minimum grade / mark in this assessment item to pass the course. Students must obtain 40% in the final exam to pass the course.

Contact Hours

Callaghan

Lecture

Face to Face On Campus 2 hour(s) per Week for Full Term

Tutorial

Face to Face On Campus 2 hour(s) per Week for Full Term