A Unified Theory of 'If's. This project aims to develop a unified theory of ‘if’s. Our understanding of an uncertain and risky world requires hypothetical reasoning involving ‘if’s. They are significant theoretically: in science, history, politics, economics, psychology, computer science, linguistics, and philosophy. They are significant practically: in our planning, decision-making, policy priorities, legal judgments, environmental and medical interventions. Yet we lack a comprehensive, readily ....A Unified Theory of 'If's. This project aims to develop a unified theory of ‘if’s. Our understanding of an uncertain and risky world requires hypothetical reasoning involving ‘if’s. They are significant theoretically: in science, history, politics, economics, psychology, computer science, linguistics, and philosophy. They are significant practically: in our planning, decision-making, policy priorities, legal judgments, environmental and medical interventions. Yet we lack a comprehensive, readily implementable theory of ‘if’s. The project expects to provide such a theory, based on probability, improving on approaches from philosophy and linguistics, and benefitting both these fields. It also promises significant benefits for artificial intelligence/machine learning.
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Verification and analysis of quantum programs. This project aims to develop theoretical foundations and techniques, as well as efficient algorithms and effective tools, for the verification and analysis of quantum programs. This project will introduce new ideas and techniques to tackle the problem of verifying and analysing quantum programs and provide efficient algorithms and effective tools to help quantum program compilation and optimisation. Successful development of the outcomes and tools i ....Verification and analysis of quantum programs. This project aims to develop theoretical foundations and techniques, as well as efficient algorithms and effective tools, for the verification and analysis of quantum programs. This project will introduce new ideas and techniques to tackle the problem of verifying and analysing quantum programs and provide efficient algorithms and effective tools to help quantum program compilation and optimisation. Successful development of the outcomes and tools in this project will help Australian industries build frontier technologies for quantum software engineering and establish and preserve their competitive status in the era of quantum computing.Read moreRead less
Design and verification of correct, efficient and secure concurrent systems. This project aims to provide methods for the design and verification of correct, secure and efficient concurrent software that are scalable and mechanised. Computers with multiple processors are now the norm and are used in a wide range of safety, security and mission critical software applications such as transport, health and infrastructure. These multi-core architectures have the potential to lead to important effici ....Design and verification of correct, efficient and secure concurrent systems. This project aims to provide methods for the design and verification of correct, secure and efficient concurrent software that are scalable and mechanised. Computers with multiple processors are now the norm and are used in a wide range of safety, security and mission critical software applications such as transport, health and infrastructure. These multi-core architectures have the potential to lead to important efficiency gains, but can introduce complex and error-prone behaviours that cannot be managed using traditional software development approaches. This project will produce better, scalable and mechanised methods for the design and verification of such software which is expected to reduce the prevalence of failures in efficient, modern software.Read moreRead less
Provable elimination of information leakage through timing channels. This project aims to develop techniques to solve the issue in information security of unauthorised information flow resulting from competition for shared hardware resources. The project will combine operating systems design, formal hardware models, information-flow reasoning and theorem proving to achieve a goal that is widely considered infeasible. The project is expected to result in a system that prevents leakage of critical ....Provable elimination of information leakage through timing channels. This project aims to develop techniques to solve the issue in information security of unauthorised information flow resulting from competition for shared hardware resources. The project will combine operating systems design, formal hardware models, information-flow reasoning and theorem proving to achieve a goal that is widely considered infeasible. The project is expected to result in a system that prevents leakage of critical information, such as encryption keys, through timing channels. This should prevent sophisticated attacks on public clouds, mobile devices and military-grade cross-domain devices.Read moreRead less
Formal Verification of Quantum Logic Circuits. The project aims to develop comprehensive theory and effective techniques for formal modelling, equivalence checking, and model checking of quantum circuits. The research is timely as the rapid growth of quantum computing hardware makes it an urgent task to develop verification techniques for quantum hardware design and quantum compilers. The successful development of the algorithms and software tools proposed in this project will significantly adva ....Formal Verification of Quantum Logic Circuits. The project aims to develop comprehensive theory and effective techniques for formal modelling, equivalence checking, and model checking of quantum circuits. The research is timely as the rapid growth of quantum computing hardware makes it an urgent task to develop verification techniques for quantum hardware design and quantum compilers. The successful development of the algorithms and software tools proposed in this project will significantly advance the knowledge on formal verification of quantum circuits and help Australian quantum start-ups build and maintain an internationally leading position in the rapidly emerging quantum electronic design automation (EDA) industry.Read moreRead less
Geodetic groups: foundational problems in algebra and computer science. The project aims to resolve important and longstanding open problems in Geometric Group Theory and Theoretical Computer Science. Since the 1980s researchers have conjectured that the geometric property of being geodetic is equivalent to several purely algebraic, algorithmic, and language-theoretic characterisations.
The project team's expertise in geodesic properties of groups, the interaction between formal languages and g ....Geodetic groups: foundational problems in algebra and computer science. The project aims to resolve important and longstanding open problems in Geometric Group Theory and Theoretical Computer Science. Since the 1980s researchers have conjectured that the geometric property of being geodetic is equivalent to several purely algebraic, algorithmic, and language-theoretic characterisations.
The project team's expertise in geodesic properties of groups, the interaction between formal languages and groups, and the theory of rewriting systems, together with recent breakthroughs by the team ensures that significant results can be expected.
Benefits include training research students and postdoctoral researchers in cutting-edge techniques, and advancing fundamental knowledge in mathematics and computer science.Read moreRead less