Mathematics of Elliptic Curve Cryptography. The Australian society and economy requires fast, reliable, and secure digital infrastructure. First-generation security solutions cannot support the efficiency and scalability requirements of wireless and embedded consumer applications. New security infrastructures are emerging and must be carefully, but rapidly, defined and analysed. Thus developing a new framework in this area is one of the most important and urgent tasks. Besides, the intended wor ....Mathematics of Elliptic Curve Cryptography. The Australian society and economy requires fast, reliable, and secure digital infrastructure. First-generation security solutions cannot support the efficiency and scalability requirements of wireless and embedded consumer applications. New security infrastructures are emerging and must be carefully, but rapidly, defined and analysed. Thus developing a new framework in this area is one of the most important and urgent tasks. Besides, the intended work advances our knowledge of the theory and the quality of our culture. As such, it will promote the Australian science and will also have many practical applications in Computer Security and E-Commerce.Read moreRead less
Mathematics of Cryptography. The Australian society and economy requires fast, reliable, and secure communication. First-generation security solutions are not capable of supporting the efficiency and scalability requirements of mass-market adoption of wireless and embedded consumer applications. New security infrastructures are emerging and must be carefully, but rapidly, defined. Thus developing new mathematically solid tools in this area is one of the most important and urgent tasks. Besides, ....Mathematics of Cryptography. The Australian society and economy requires fast, reliable, and secure communication. First-generation security solutions are not capable of supporting the efficiency and scalability requirements of mass-market adoption of wireless and embedded consumer applications. New security infrastructures are emerging and must be carefully, but rapidly, defined. Thus developing new mathematically solid tools in this area is one of the most important and urgent tasks. Besides, the intended work advances our knowledge of the theory and the quality of our culture. As such, it will promote the Australian science and will also have many practical applications in Cryptography, Computer Security and E-Commerce.Read moreRead less
THE DEVELOPMENT OF MECHANISTIC MODELS FOR BUBBLY FLOWS WITH HEAT AND MASS TRANSFER. Commercially available CFD computer codes are currently widely used in many Australian industrial sectors. It is clearly recognised that the state-of-the-art models for dealing with complex bubbly flows with/without heat and mass transfer in these computer codes require further developments and improvements. This research project will address the prevalent deficiency in many of these computer codes. It is antici ....THE DEVELOPMENT OF MECHANISTIC MODELS FOR BUBBLY FLOWS WITH HEAT AND MASS TRANSFER. Commercially available CFD computer codes are currently widely used in many Australian industrial sectors. It is clearly recognised that the state-of-the-art models for dealing with complex bubbly flows with/without heat and mass transfer in these computer codes require further developments and improvements. This research project will address the prevalent deficiency in many of these computer codes. It is anticipated that through this major development of new models capable of predicting a wide range of industrial bubbly flow problems and implementation thereafter in these computer codes, industries will experience significant benefits especially reduce time and costs in their design and production.Read moreRead less
Experimental and Numerical Modelling of Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of ....Experimental and Numerical Modelling of Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits - especially reduced times and costs in their design and production.Read moreRead less
Foundations of Executable Temporal Logic. In many computer applications, including those of temporal reasoning, distributed computations and knowledge representations, the concept of time is of central importance. Multiple granularity of time also plays a critical role as not all events are necessarily defined over a uniform model of time. This project will develop the foundations of executable logical representations, supporting multiple granularity of time. This will allow system developers a ....Foundations of Executable Temporal Logic. In many computer applications, including those of temporal reasoning, distributed computations and knowledge representations, the concept of time is of central importance. Multiple granularity of time also plays a critical role as not all events are necessarily defined over a uniform model of time. This project will develop the foundations of executable logical representations, supporting multiple granularity of time. This will allow system developers access to powerful logical techniques in those applications. In the process, fundamental problems in modelling multiple granularity of time will be identified, and application-independent solutions to those problems will be provided.Read moreRead less
Refinement of Temporal and Epistemic Specifications in Asynchronous Systems. Designing distributed systems is a complex activity requiring rigorous mathematical models of designs and specifications. It is desirable for the mathematical notations to be as close as possible to intuitive notions used by designers. One such notion is the idea that components in a distributed system have states of knowledge. Previous work has developed a calculus enabling derivation of systems with global clock by s ....Refinement of Temporal and Epistemic Specifications in Asynchronous Systems. Designing distributed systems is a complex activity requiring rigorous mathematical models of designs and specifications. It is desirable for the mathematical notations to be as close as possible to intuitive notions used by designers. One such notion is the idea that components in a distributed system have states of knowledge. Previous work has developed a calculus enabling derivation of systems with global clock by series of correctness-preserving transformations from a knowledge-based specification. This project will generalize this work to a calculus for systems that lack a global clock, and implement a tool providing automated support for use of the calculus.Read moreRead less
A mathematical model relating neural activity to cerebral blood flow. An ageing population is increasingly prone to neurodegenerative disease and the associated mental impairment can severely disrupt the lives of both the sufferers and the carers. Non-invasive brain imaging techniques are used to both diagnose and supervise treatment of such disease, but at present a lack of understanding of the underlying physiology leaves these methods open to criticism. The construction of a detailed quanti ....A mathematical model relating neural activity to cerebral blood flow. An ageing population is increasingly prone to neurodegenerative disease and the associated mental impairment can severely disrupt the lives of both the sufferers and the carers. Non-invasive brain imaging techniques are used to both diagnose and supervise treatment of such disease, but at present a lack of understanding of the underlying physiology leaves these methods open to criticism. The construction of a detailed quantitative model of the basic processes underlying this imaging will enable precise interpretation of such brain scans and increase their usefulness both as a research and as a therapeutic tool.Read moreRead less
Uncertain Systems Theory applied to Nonlinear Robust Control and Filtering. Feedback control systems are becoming increasingly important in manufacturing industry, the automotive industry, defence applications as well as in many non-industrial applications such as the management of the environment or the economy. By developing new techniques for the design of high performance robust nonlinear controllers and filters which are widely applicable in industrial applications, this project will help m ....Uncertain Systems Theory applied to Nonlinear Robust Control and Filtering. Feedback control systems are becoming increasingly important in manufacturing industry, the automotive industry, defence applications as well as in many non-industrial applications such as the management of the environment or the economy. By developing new techniques for the design of high performance robust nonlinear controllers and filters which are widely applicable in industrial applications, this project will help make existing industrial technologies more efficient and make new industrial technologies feasible. Moreover, the research training carried out in the project will add to available a pool of experts in the areas of robust nonlinear control and filtering. Read moreRead less
RichProlog, a System for Deducing, Inducing and Learning in the Declarative Programming Paradigm. The aim of the project is to contribute to bridge the gap between learning and logic, theoretically and practically. Our purpose is to extend considerably the scope of the declarative programming paradigm, and build a system that can be used to solve learning or discovery problems as encountered in Artificial Intelligence. The system will enable rapid prototyping when applied to problems involving d ....RichProlog, a System for Deducing, Inducing and Learning in the Declarative Programming Paradigm. The aim of the project is to contribute to bridge the gap between learning and logic, theoretically and practically. Our purpose is to extend considerably the scope of the declarative programming paradigm, and build a system that can be used to solve learning or discovery problems as encountered in Artificial Intelligence. The system will enable rapid prototyping when applied to problems involving deduction, induction, and nonmonotonic reasoning. We intend the system to become a standard tool for tackling a broad range of applications, and the underlying theory to provide new insights on the logical foundations of Artificial Intelligence.
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A formal foundation for security architecture. Security of computer systems is essential for the maintenance of privacy, confidentiality and integrity of personal, commercial and government data, and the trustworthiness of the computational devices that are embedded in critical societal infrastructure. However, current theoretical understanding of secure systems development is poor. The project will develop our understanding of an emerging approach to the design of secure systems and develop ver ....A formal foundation for security architecture. Security of computer systems is essential for the maintenance of privacy, confidentiality and integrity of personal, commercial and government data, and the trustworthiness of the computational devices that are embedded in critical societal infrastructure. However, current theoretical understanding of secure systems development is poor. The project will develop our understanding of an emerging approach to the design of secure systems and develop verification methods that may be applied to guarantee systems security. Its outcomes will contribute to processes for certifying systems at very high levels of security, a requirement in defence and government settings that will become increasingly significant in the commercial sector.Read moreRead less