Infinitary S5-epistemic logic

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء


It is known that a theory in S5-epistemic logic with several agents may have numerous models. This is because each such model specifies also what an agent knows about infinite intersections of events, while the expressive power of the logic is limited to finite conjunctions of formulas. We show that this asymmetry between syntax and semantics persists also when infinite conjunctions (up to some given cardinality) are permitted in the language. We develop a strengthened S5-axiomatic system for such infinitary logics, and prove a strong completeness theorem for them. Then we show that in every such logic there is always a theory with more than one model.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)333-342
عدد الصفحات10
دوريةMathematical Logic Quarterly
مستوى الصوت43
رقم الإصدار3
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 1997
منشور خارجيًانعم


أدرس بدقة موضوعات البحث “Infinitary S5-epistemic logic'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا