Distributed Knowing How

TL;DR

This paper introduces a formal logic for distributed knowledge-how, extending existing frameworks to account for groups achieving more through collective strategies, and provides a complete proof system for it.

Contribution

It generalizes existing know-how logics by incorporating multi-step strategies and group capabilities, establishing a sound and complete proof system.

Findings

Developed a logic for distributed knowledge-how.

Proved soundness and strong completeness of the proof system.

Unified existing frameworks in a generalized logic.

Abstract

Distributed knowledge is a key concept in the standard epistemic logic of knowledge-that. In this paper, we propose a corresponding notion of distributed knowledge-how and study its logic. Our framework generalizes two existing traditions in the logic of know-how: the individual-based multi-step framework and the coalition-based single-step framework. In particular, we assume a group can accomplish more than what its individuals can jointly do. The distributed knowledge-how is based on the distributed knowledge-that of a group whose multi-step strategies derive from distributed actions that subgroups can collectively perform. As the main result, we obtain a sound and strongly complete proof system for our logic of distributed knowledge-how, which closely resembles the logic of distributed knowledge-that in both the axioms and the proof method of completeness.