Knowledge and topology: a simplicial approach
Jérémy Ledent (University of Strathclyde - UK)
Abstract: Multi-agent Epistemic Logic is a modal logic of knowledge. It allows to reason about a finite set of agents who may know facts about the world, and about each other. In this talk, I will present a new semantics for epistemic logic, based on simplicial complexes. In this approach, the knowledge of the agents is modeled by a higher-dimensional space called a simplicial model; and the truth of an epistemic logic formula can be evaluated by inspecting the various possible paths in this space. I will illustrate these ideas using examples from the theory of distributed computing, where the agents correspond to individual processes who can exchange information in order to solve a task. Both topological invariants and logical invariants can be leveraged to prove that some distributed computing tasks are impossible to solve.
geometric topology
Audience: researchers in the topic
Series comments: Web-seminar series on Applications of Geometry and Topology
| Organizers: | Alicia Dickenstein, José-Carlos Gómez-Larrañaga, Kathryn Hess, Neza Mramor-Kosta, Renzo Ricca*, De Witt L. Sumners |
| *contact for this listing |