# Field Knowledge as a Dual to Distributed Knowledge: A Characterization by Weighted Modal Logic

arXiv: https://arxiv.org/abs/2407.00687 · HTML: https://mlsanity.com/paper/2407.00687/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 30 Jun 2024.

## Built on by (most cited first, 1 of 1)

- [Epistemic Skills: Reasoning about Knowledge and Oblivion](https://mlsanity.com/paper/2504.01733/) (2025)

## Abstract (arXiv)

The study of group knowledge concepts such as mutual, common, and distributed knowledge is well established within the discipline of epistemic logic. In this work, we incorporate epistemic abilities of agents to refine the formal definition of distributed knowledge and introduce a formal characterization of field knowledge. We propose that field knowledge serves as a dual to distributed knowledge. Our approach utilizes epistemic logics with various group knowledge constructs, interpreted through weighted models. We delve into the eight logics that stem from these considerations, explore their relative expressivity and develop sound and complete axiomatic systems.