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
Process algebra approach to distributed quantum computation and secure quantum communication. This project will develop effective methods for reasoning about the behaviours of distributed quantum computing and communicating systems. The developed methods will provide effective techniques for verifying security of quantum cryptographic protocols.
Model-checking quantum Markov chains: towards verification techniques for quantum cryptographic systems. This project will develop effective techniques and practical tools for verification of correctness, safety and reliability of quantum cryptographic protocols and communication systems. It will promote Australia's global standing in quantum computing research and provide frontier technology to industry and governments nationally and internationally.
Robust and Scalable Autonomous Landing for Drones. The aim of this project is to develop a transformative robust and scalable autonomous landing system for drones. This is the critical missing technology needed to unleash exponential growth in a potentially enormous drone delivery industry by enabling a multitude of applications to deliver goods and supplies via drones to a wide range of destinations in Australia and the world in a timely, flexible and accurate manner. Such an autonomous landi ....Robust and Scalable Autonomous Landing for Drones. The aim of this project is to develop a transformative robust and scalable autonomous landing system for drones. This is the critical missing technology needed to unleash exponential growth in a potentially enormous drone delivery industry by enabling a multitude of applications to deliver goods and supplies via drones to a wide range of destinations in Australia and the world in a timely, flexible and accurate manner. Such an autonomous landing solution would revolutionise drone technology, and propel Australia to the forefront of technology innovation. This project would benefit not only large scale delivery by drone in urban and suburban areas of Australia but also long distance delivery via drone to remote areas of Australia.Read moreRead less
Symbolic synthesis of knowledge-based program implementations. Systems with concurrent streams of activity are ubiquitous in computer hardware and software designs, but are conceptually complex, and fraught with faults and inefficiency. The project aims to address these difficulties by automating aspects of system design, to relieve the designer of the need to reason about complex patterns of information flow.
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
Generalised topological spaces. Pure mathematics creates abstractions of real-world entities; one such is the idea of a 'topological space', which abstracts from geometric forms like cubes and toruses. But topological spaces fail to capture geometric structures arising in areas like quantum physics; and this project seeks to rectify this, by developing a new more general notion.
The language complexity of problems in algebra and logic. This project focuses on a major problem at the intersection of algebra, logic and computer science, concerning equations over free groups and free monoids. Expected outcomes include a language-theoretic characterisation of solutions of equations in a wide class of groups and monoids, a language-theoretic understanding of the existential and first-order theories of free groups, and a classification of groups with indexed multiplication tab ....The language complexity of problems in algebra and logic. This project focuses on a major problem at the intersection of algebra, logic and computer science, concerning equations over free groups and free monoids. Expected outcomes include a language-theoretic characterisation of solutions of equations in a wide class of groups and monoids, a language-theoretic understanding of the existential and first-order theories of free groups, and a classification of groups with indexed multiplication tables and EDT0L word problem. The project is designed to expand the frontiers of knowledge in theoretical computer science and pure mathematics, but in the longer term to deepen our understanding of computers, their computational power and intrinsic limitations.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
Verification of quantum cryptographic protocols: a process algebra approach. Security analysis of quantum cryptographic systems is notoriously difficult. This project aims to develop theoretic foundations and algorithms, as well as efficient software tools, to verify quantum cryptographic protocols by innovatively bridging two research fields: quantum cryptography and quantum process algebra. The pioneering research may provide innovative, game-changing security technologies for banks, business, ....Verification of quantum cryptographic protocols: a process algebra approach. Security analysis of quantum cryptographic systems is notoriously difficult. This project aims to develop theoretic foundations and algorithms, as well as efficient software tools, to verify quantum cryptographic protocols by innovatively bridging two research fields: quantum cryptography and quantum process algebra. The pioneering research may provide innovative, game-changing security technologies for banks, business, finance, security industry, police, and counter-terrorism both within Australia and globally.Read moreRead less