Efficient automated theorem proving for first-order logic

Primary supervisor

Additional information

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Funding

  • Competition Funded Project (Students Worldwide)
This research project is one of a number of projects at this institution. It is in competition for funding with one or more of these projects. Usually the project which receives the best applicant will be awarded the funding. Applications for this project are welcome from suitably qualified candidates worldwide. Funding may only be available to a limited set of nationalities and you should read the full department and project details for further information.

Project description

Automated theorem proving has applications ranging from proving theorems in mathematics to verifying correctness of hardware and software. Automated theorem proving is rooted in mathematical logic and combines theoretical methods such as completeness theorems for logical calculi and decision procedures together with implementation techniques for efficient inferences and simplifications. Although theorem proving had a considerable success over recent years many problems coming from applications are still out of reach for current theorem proving methods.This PhD will be focused on developing novel theoretical and practical methods for making automated theorem proving scale to problems that can not be solved by the current state-of-the-art automated methods. The candidate is expected to have a strong background in logic and/or formal methods, good implementation skills are desirable.

Person specification

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Essential

Applicants will be required to evidence the following skills and qualifications.

  • This project requires mathematical engagement and ability substantially greater than for a typical Computer Science PhD. Give evidence for appropriate competence, as relevant to the project description.
  • You must be capable of performing at a very high level.
  • You must have a self-driven interest in uncovering and solving unknown problems and be able to work hard and creatively without constant supervision.

Desirable

Applicants will be required to evidence the following skills and qualifications.

  • You will possess determination (which is often more important than qualifications) although you'll need a good amount of both.
  • You will have good time management.

General

Applicants will be required to address the following.

  • Discuss your final year Undergraduate project work - and if appropriate your MSc project work.
  • How well does your previous study prepare you for undertaking Postgraduate Research?
  • Comment on your transcript/predicted degree marks, outlining both strong and weak points.
  • Why do you believe you are suitable for doing Postgraduate Research?
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