Abstract
Heifetz, Meier & Schipper (HMS) present a lattice model of awareness. The HMS model is syntax-free, which precludes the simple option to rely on formal language to induce lattices, and represents uncertainty and unawareness with one entangled construct, making it difficult to assess the properties of either. Here, we present a model based on a lattice of Kripke models, induced by atom subset inclusion, in which uncertainty and unawareness are separate. We show the models to be equivalent by defining transformations between them which preserve formula satisfaction, and obtain completeness through our and HMS’ results.
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CITATION STYLE
Belardinelli, G., & Rendsvig, R. K. (2020). Awareness Logic: A Kripke-Based Rendition of the Heifetz-Meier-Schipper Model. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12569 LNCS, pp. 33–50). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-65840-3_3
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