Discovery Early Career Researcher Award - Grant ID: DE220100544
Funder
Australian Research Council
Funding Amount
$356,000.00
Summary
Fuzzy logics for graded reasoning in applied contexts. Many things we care about, such as friendship or safety, come in degrees, but our current systems for tracking information are not built to handle this. This project aims to enhance many-valued logic as a tool to manage graded information. It expects to generate new knowledge in the area of logical languages for fuzzy databases and finite domains using an interdisciplinary approach between philosophers, mathematicians and computer scientists ....Fuzzy logics for graded reasoning in applied contexts. Many things we care about, such as friendship or safety, come in degrees, but our current systems for tracking information are not built to handle this. This project aims to enhance many-valued logic as a tool to manage graded information. It expects to generate new knowledge in the area of logical languages for fuzzy databases and finite domains using an interdisciplinary approach between philosophers, mathematicians and computer scientists. Expected outcomes include new logical methods and modelling techniques for many-valued logics. This will provide significant benefits, such as the enhancement of fuzzy logic as a tool in artificial intelligence to handle reasoning with imprecise concepts, giving meaning to complex real-life data.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
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