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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Proof Theoretical Methods for Reasoning about Process Equivalence. The emergence of internet commerce has made the issue of secure computing more urgent than ever. A substantial part of the security issues with today's computer applications are due to design problems.
The principles of secure computation have not been fully understood and adequate tools for the construction of secure applications are still lacking. The understanding of the foundations of secure computation is essential in bu ....Proof Theoretical Methods for Reasoning about Process Equivalence. The emergence of internet commerce has made the issue of secure computing more urgent than ever. A substantial part of the security issues with today's computer applications are due to design problems.
The principles of secure computation have not been fully understood and adequate tools for the construction of secure applications are still lacking. The understanding of the foundations of secure computation is essential in building trusted computer applications. Process calculi and logic represent two promising disciplines in which the principles of analysis and design of secure systems can be studied systematically, out of which formal verification tools can be constructed.Read moreRead less
Towards automated and intelligent processing of web-based information. The successful outcome of this project will enhance Australia's research reputation in an important, practical area of ICT, will contribute to emerging Web standards, will produce frontier technology that will eventually be of benefit to Australian industry, and will train several postgraduate students.
Rule-based reasoning systems for complex and dynamic ontologies. The successful outcome of this project will enhance Australia's research reputation in an important, practical area of ICT, will contribute to emerging Web technologies that will eventually be of benefit to Australian industry, and will train several postgraduate students.
Options For Proofs: New Perspectives on Propositional Logic. Philosophers and logicians recognise that proof is important, but they do not agree on what proofs are. Recent research in logic has greatly expanded our notion of proof, but this research is not unified. We need a coherent, general and applicable concept of proof. This project will unify the literature on proof and bring these insights to bear in the philosophy of language. It will show how proof can help analyse many features of ....Options For Proofs: New Perspectives on Propositional Logic. Philosophers and logicians recognise that proof is important, but they do not agree on what proofs are. Recent research in logic has greatly expanded our notion of proof, but this research is not unified. We need a coherent, general and applicable concept of proof. This project will unify the literature on proof and bring these insights to bear in the philosophy of language. It will show how proof can help analyse many features of language (more than just logical constants) but that the role of inference does not justify one kind of proof in preference to others.Read moreRead less
Reflection groups. The study of symmetry in geometrical and abstract contexts is a central issue in such diverse areas as mathematical physics, singularity theory, algebraic geometry, quantum groups and the study of knots and braids. Group theory provides the mathematical framework for the analysis of symmetry. Reflection groups, simple examples of which are the symmetry groups of the five platonic solids, play a key role in all of the areas mentioned above. Thus an improved understanding of ref ....Reflection groups. The study of symmetry in geometrical and abstract contexts is a central issue in such diverse areas as mathematical physics, singularity theory, algebraic geometry, quantum groups and the study of knots and braids. Group theory provides the mathematical framework for the analysis of symmetry. Reflection groups, simple examples of which are the symmetry groups of the five platonic solids, play a key role in all of the areas mentioned above. Thus an improved understanding of reflection groups will significantly enhance the development of several important theories.
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Increasing the effectiveness of quantitative verification. The ability to analyse the performance of complex systems and protocols is a vital part of the development of large-scale computer applications. Methods that improve the effectiveness of the analysis task would increase the competitiveness of the software industry, and would attract future development work (in complex systems) to Australia. The results of this project will have a direct influence on currently available design tools; the ....Increasing the effectiveness of quantitative verification. The ability to analyse the performance of complex systems and protocols is a vital part of the development of large-scale computer applications. Methods that improve the effectiveness of the analysis task would increase the competitiveness of the software industry, and would attract future development work (in complex systems) to Australia. The results of this project will have a direct influence on currently available design tools; the fact that Australian institutions will be (in part) responsible for key theoretical results in this growing field will strengthen Australia's position worldwide as an international centre for computer science.Read moreRead less
Complexity in Algebra and Algebra in Complexity: the role of finite semigroups and general algebra. Algebra and logic form the mathematical framework for expressing and analysing algorithms and their difficulty. We can then scientifically analyse what makes some tasks more difficult than others. This project unifies parallel areas of algebra to focus on two key topics at this interface between algebra and computational complexity. As a flow on, our work can uncover new algorithms for solving ....Complexity in Algebra and Algebra in Complexity: the role of finite semigroups and general algebra. Algebra and logic form the mathematical framework for expressing and analysing algorithms and their difficulty. We can then scientifically analyse what makes some tasks more difficult than others. This project unifies parallel areas of algebra to focus on two key topics at this interface between algebra and computational complexity. As a flow on, our work can uncover new algorithms for solving constraint problems and for the study of formal languages.
With a team of top international researchers developing new interactions between mathematics and the study of algorithms, the project will foster a culture of innovation and bring Australia into the play in this internationally competitive area.Read moreRead less
Model Update with Localisation, Constraints and Abstraction. This project will fundamentally provide a new paradigm and a system prototype for advanced computer aided system modification. It will significantly enhance Australia's leading role in the cutting edge research in computer aided system development. By applying the new methodology and technology, Australian IT industry will significantly improve its capacity for developing highly complex hardware and software systems for various applica ....Model Update with Localisation, Constraints and Abstraction. This project will fundamentally provide a new paradigm and a system prototype for advanced computer aided system modification. It will significantly enhance Australia's leading role in the cutting edge research in computer aided system development. By applying the new methodology and technology, Australian IT industry will significantly improve its capacity for developing highly complex hardware and software systems for various applications. With a strong research program across different areas such as knowledge system update, model checking and software development, and a collaborative research training environment, this project will strengthen Australia's international reputation as a leader in computing and IT research.Read moreRead less
Developing Sophisticated e-Business Automation. This project will provide theoretical foundations and a practical platform for developing advanced e-business automation technology. As such, it will significantly enhance Australia's leading role in the cutting edge research on e-business automation. By applying the new methodology and technology, Australian IT industries will be able to develop highly efficient e-market application systems, which will be financially beneficial to most organizatio ....Developing Sophisticated e-Business Automation. This project will provide theoretical foundations and a practical platform for developing advanced e-business automation technology. As such, it will significantly enhance Australia's leading role in the cutting edge research on e-business automation. By applying the new methodology and technology, Australian IT industries will be able to develop highly efficient e-market application systems, which will be financially beneficial to most organizations as Australia business and institutions are moving towards a more electronically oriented future. With a strong research team and collaborative research training environment, this project will further promote Australia's international reputation as a leader in Computing and IT research.Read moreRead less