Work

Common knowledge logic in a higher order proof assistant?

Year: 2007

Type: preprint

Abstract: This paper presents experiments on common knowledge logic, conducted with the help of the proof assistant Coq. The main feature of common knowledge logic is the eponymous modality that says that a group of agents shares a knowledge about a certain proposition in a inductive way. This modality is specified by using a fixpoint approach. Furthermore, from these experiments, we discuss and compare the structure of theorems that can be proved in specific theories that use common knowledge logic. Those structures manifests the interplay between the theory (as implemented in the proof assistant Coq) and the metatheory.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0712.3147

Author: Lescanne, Pierre

Institution: LIP - Laboratory of Instrumentation and Experimental Particle Physics

Language: English

Topic: Logic, Reasoning, and Knowledge

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952416220

Cites: 13

Cited by:

Related to: 10