Chapter 7: Logic of behavior
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How can we prove our machine is safe
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The category Set as an exemplar topos
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Set-like properties enjoyed by any topos
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The subobject classifier
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Logic in the topos Set
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Sheaves
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Presheaves
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Topological spaces
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Sheaves on topological spaces
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Toposes
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The subobject classifier in a sheaf topos
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Logic in a sheaf topos
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Predicates
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Quantification
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Modalities
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Type theories and semantics
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A topos of behavior types
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The interval domain
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Sheaves on IR
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Safety proofs in temporal logic
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