Strategically knowing how
This work addresses the representation of both knowledge-that and knowledge-how in single-agent systems, but it is incremental as it builds on existing epistemic logic frameworks.
The paper tackles the problem of formalizing goal-directed knowing how by extending standard epistemic logic with a new operator, resulting in a logic that is sound, complete, and decidable.
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 $φ$ means that there exists a (uniform) strategy such that the agent knows that it can make sure $φ$. We give an intuitive axiomatization 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 both knowledge-that and knowledge-how.