A Decidable Multi-agent Logic for Reasoning About Actions, Instruments, and Norms

In Johan van Benthem (ed.), Logic and argumentation. New York: North-Holland. pp. 219 - 241 (1996)
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Abstract

We formally introduce a novel, yet ubiquitous, category of norms: norms of instrumentality. Norms of this category describe which actions are obligatory, or prohibited, as instruments for certain purposes. We propose the Logic of Agency and Norms (LAN) that enables reasoning about actions, instrumentality, and normative principles in a multi-agent setting. Leveraging LAN , we formalize norms of instrumentality and compare them to two prevalent norm categories: norms to be and norms to do. Last, we pose principles relating the three categories and evaluate their validity vis-à-vis notions of deliberative acting. On a technical note, the logic will be shown decidable via the finite model property.

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Tim Lyon
Technische Universität Dresden

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Modal logic.Yde Venema - 2000 - Philosophical Review 109 (2):286-289.
On the logic of ability.Mark A. Brown - 1988 - Journal of Philosophical Logic 17 (1):1 - 26.

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