A belief-base semantics for epistemic logic is defined that derives possible worlds from belief bases, enabling a compact universal epistemic model with equivalence results and a complexity bound.
International Journal of Game Theory 14(1), pp
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Consistency among prior, posteriors, and information sets implies information sets form a partition almost surely, posteriors equal Bayes updates, and qualitative beliefs become fully introspective knowledge in standard settings.
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Exploiting Belief Bases for Building Rich Epistemic Structures
A belief-base semantics for epistemic logic is defined that derives possible worlds from belief bases, enabling a compact universal epistemic model with equivalence results and a complexity bound.
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On the Consistency among Prior, Posteriors, and Information Sets (Extended Abstract)
Consistency among prior, posteriors, and information sets implies information sets form a partition almost surely, posteriors equal Bayes updates, and qualitative beliefs become fully introspective knowledge in standard settings.