Tags:epistemic logic, goal-oriented proof system and proof theory
Abstract:
Epistemic logic enables us to have a logical approach to information, particularly the type of information that is meaningful for an agent as a whole: their knowledge. It compasses a family of well-developed and well-understood systems. However, its proof-theoretic presentation usually is axiomatic. This approach creates obstacles when we try to integrate it into rich theories of human reasoning and automated reasoning systems. This talk develops new proof systems for Epistemic Logic based on the goal-oriented systems of Gabbay & Olivetti (2000). In a goal-oriented proof system with epistemic modality, a deductive process will begin by wondering if an agent knows a particular objective in a particular state, depending on a particular database and the states accessible for that agent. The general approach of this system is based on databases and objectives. By integrating Epistemic Logic with a goal-based proof, we can allow for new human and automated reasoning applications.
A Goal-Oriented Proof-Theory for Multi-Agent Modal Logic