Justified and Common Knowledge Limited Conservativity 1st Edition by Evangelia Antonakos ISBN 9783540727347

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ISBN 10: 
ISBN 13: 9783540727347
Author: Evangelia Antonakos

We consider the relative strengths of three formal approaches to public knowledge: “any fool” knowledge by McCarthy (1970), Common Knowledge by Halpern and Moses (1990), and Justified Knowledge by Artemov (2004). Specifically, we show that epistemic systems with the Common Knowledge modality C are conservative with respect to Justified Knowledge systems on formulas χ ∧ Cϕ→ψ, where χ, ϕ, and ψ are C-free.

Justified and Common Knowledge Limited Conservativity 1st Table of contents:

• Justified Knowledge and Its Foundations
• Common Knowledge and Its Role in Logic
• Limited Conservativity in Knowledge Systems
• Theoretical Frameworks and Definitions
• Relationships Between Justified and Common Knowledge
• Applications in Epistemic Logic
• Challenges and Open Problems
• Future Research Directions

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