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Download PDFOpen PDF in browserPossession as Linear Knowledge1 pages•Published: May 15, 2012AbstractEpistemic logic analyzes reasoning governing localized knowledge, and is thus fundamental to multi- agent systems. Linear logic treats hypotheses as consumable resources, allowing us to model evolution of state. Combining principles from these two separate traditions into a single coherent logic allows us to represent localized consumable resources and their flow in a distributed system. The slogan “possession is linear knowledge” summarizes the underlying idea. We walk through the design of a linear epistemic logic and discuss its basic metatheoretic properties such as cut elimination. We illustrate its expressive power with several examples drawn from an ongoing effort to design and implement a linear epistemic logic programming language for multi-agent distributed systems. In: Berndt Müller (editor). LAM'10. 3rd International Workshop on Logics, Agents, and Mobility, vol 7, pages 1. Download PDFOpen PDF in browser |
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