Automation of metric temporal reasoning. A major contemporary engineering concern is to ensure the predictable and robust operation of computer systems involving software, hardware, and human users. The need for systematic and careful construction of such systems requires the development of formal methods based on a dense view of time rather than the traditional step-by-step models.
automated strategic reasoning. Formal methods are used to ensure robust correct behaviour in design and implementation of computer systems. Traditional models of computer operation involve a linear sequence of behaviour but today’s systems are complex interactions between many components including the environment of the system and human users. Thus analysis is done via a logical game between components where each is trying to meet its specified requirements regardless of what others do: formalis ....automated strategic reasoning. Formal methods are used to ensure robust correct behaviour in design and implementation of computer systems. Traditional models of computer operation involve a linear sequence of behaviour but today’s systems are complex interactions between many components including the environment of the system and human users. Thus analysis is done via a logical game between components where each is trying to meet its specified requirements regardless of what others do: formalisms include branching time and competing coalitions of agents. This project is to take early advantage of recent breakthroughs in automated logical reasoning with such models by the investigator to deliver general practical techniques of system development and verification.Read moreRead less
Symmetry and computation. The overall objective of the project is to explore connections between symmetry and computation, especially the theory and algorithms that facilitate the use of groups in computational science. The main outcome will be theoretically fast algorithms and implementations to drive applications in the sciences and for secure communication.
Complexity of group algorithms and statistical fingerprints of groups. This project aims to shape the next generation of efficient randomised algorithms in the field of group theory, the mathematics of symmetry. Fundamental mathematics underpins modern technological tasks such as web searches, sorting and data compression. This project aims to determine characteristic statistical fingerprints of key building-block groups. These group statistics lead to much faster procedures to essentially facto ....Complexity of group algorithms and statistical fingerprints of groups. This project aims to shape the next generation of efficient randomised algorithms in the field of group theory, the mathematics of symmetry. Fundamental mathematics underpins modern technological tasks such as web searches, sorting and data compression. This project aims to determine characteristic statistical fingerprints of key building-block groups. These group statistics lead to much faster procedures to essentially factor huge groups into smaller building-block groups in a manner akin to factoring an integer into its prime factors. The anticipated goal is to include the outcomes in publicly available symbolic algebra computer packages. As the theory of symmetry has broad applications in the mathematical and physical sciences, there is the potential for far reaching benefits.Read moreRead less