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In the early to mid-20th century, several separate research teams made advances on computability, producing different ways of thinking about the fundamentals of computation. These include, but are not limited to: Turing machines; lambda calculus; combinatory logic; and game-theoretic semantics. These topics are often covered in undergraduate computer science, mathematics, or philosophy courses. However, they are relatively esoteric and can be difficult to understand. They are notable in that visualisation, an acknowledged tool for enabling understanding, is often entirely absent from standard presentations. In this project, you will seek to rectify this short-coming by providing effective visualisations for different models of computation.
This project will have a strong focus on effectiveness. Visualisations will only be adopted and widely-used if they either allow insight that textual representation does not (known as free-rides), or otherwise allow users to understand (measured by task performance) the represented context more readily. As such, human-computer interaction and usability experiments will form a necessary component of the project.
The project will also aim to make the produced diagrams widely available, in that drawing algorithms will be implemented. There will thus be an expectation of coding in this project. The ideal candidate will then have a background in one of computer science, mathematics, or philosophy. No candidate would be expected to be expert in all of these areas, and hence a willingness to learn and engage with new areas is essential.
Academic qualifications
A first-class honours degree, or a distinction at master level, or equivalent achievements in Computer science, Mathematics, Philosophy.
English language requirement
If your first language is not English, comply with the University requirements for research degree programmes in terms of English language.
Application process
Prospective applicants are encouraged to contact the supervisor, Dr. Peter Chapman (p.chapman@napier.ac.uk) to discuss the content of the project and the fit with their qualifications and skills before preparing an application.
The application must include:
Research project outline of 2 pages (list of references excluded). The outline may provide details about
The outline must be created solely by the applicant. Supervisors can only offer general discussions about the project idea without providing any additional support.
Applications can be submitted here.
Download a copy of the project details here.
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