Awareness Logic: A Kripke-based Rendition of the Heifetz-Meier-Schipper Mode
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Awareness Logic: A Kripke-based Rendition of the Heifetz-Meier-Schipper Mode. / Belardinelli, Gaia; Rendsvig, Rasmus Kræmmer.
Dynamic Logic. New Trends and Applications: DaLi 2020 - International Workshop on Dynamic Logic. Vol. 12569 Springer, 2020. p. 33-50 (Lecture Notes in Computer Science, Vol. 12569).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
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TY - GEN
T1 - Awareness Logic: A Kripke-based Rendition of the Heifetz-Meier-Schipper Mode
AU - Belardinelli, Gaia
AU - Rendsvig, Rasmus Kræmmer
PY - 2020
Y1 - 2020
N2 - 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.
AB - 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.
U2 - 10.1007/978-3-030-65840-3_3
DO - 10.1007/978-3-030-65840-3_3
M3 - Article in proceedings
SN - 978-3-030-65839-7
VL - 12569
T3 - Lecture Notes in Computer Science
SP - 33
EP - 50
BT - Dynamic Logic. New Trends and Applications
PB - Springer
ER -
ID: 255564693