This course presents some formal notations that are commonly used for the description of computation and of computing systems, for the specification of software and for mathematically rigorous arguments about program properties. The following areas of study constitute the backbone of the course. Predicate calculus and natural deduction, inductive definitions of data types as a basis for recursive functions and structural induction, formal language theory (particularly regular expressions, finite state machines and context free grammars), and specification languages.
Upon successful completion, students will have the knowledge and skills to:
Upon completion of this course, the student will be able to do the following:
- Apply the concepts of standard mathematical logic to produce proofs or refutations of well-formed propositions or arguments phrased in English or in a variety of formal notations (first order logic, discrete mathematics or Hoare logic). Express problems, presented in English, in these formal notations and demonstrate an awareness of the differences between them.
- Generate a finite state automaton that recognises a given regular language either described in English or presented as a regular expression; similarly, describe the language accepted by a given deterministic or nondeterministic automaton.
- Relate structural induction to other forms of mathematical induction, and write a recursive definition of a given simple operation on data of a given type presented via an inductive definition of the data structure.
- Explain the concept of program correctness and prove simple programs correct using Hoare Logic.
- Demonstrate understanding of Turing Machine computability, and design Turing Machines to accomplish simple tasks.
Assignments (36%); Tutorials (4%); Quiz (10%); Final Exam (50%)
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WorkloadThirty one-hour lectures and nine one-hour tutorials
Requisite and Incompatibility
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
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- 6 units
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Offerings, Dates and Class Summary Links
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Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
|Class number||Class start date||Last day to enrol||Census date||Class end date||Mode Of Delivery||Class Summary|
|9212||22 Jul 2024||29 Jul 2024||31 Aug 2024||25 Oct 2024||In Person||N/A|