Strategically knowing how

In this paper, we propose a single-agent logic of goal-directed knowing how extending the standard epistemic logic of knowing that with a new knowing how operator. The semantics of the new operator is based on the idea that knowing how to achieve phi means that there exists a (uniform) strategy such that the agent knows that it can make sure phi. We give an intuitive axiomatisation of our logic and prove the soundness, completeness, and decidability of the logic. The crucial axioms relating knowing that and knowing how illustrate our understanding of knowing how in this setting. This logic can be used in representing and reasoning about knowledge-how.

Authors

• Raul Fervari CONICET and FAMAF-UNC & Université Paris-Saclay, LMF
• Andreas Herzig IRIT, CNRS, Univ. Toulouse
• Yanjun Li
• Yanjing Wang

Keywords

• Knowledge Representation, Reasoning, and Logic: Logics for Knowledge Representation
• Knowledge Representation, Reasoning, and Logic: Non-classical logics for Knowledge Representation
• Planning and Scheduling: Planning under Uncertainty