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Interpolation Property for Modal Predicate Logics

Student: Kozyreva Mariia

Supervisor: Mikhail Rybakov

Faculty: Faculty of Mathematics

Educational Programme: Joint Bachelor's Programme with the Centre for Teaching Excellence (Bachelor)

Final Grade: 9

Year of Graduation: 2024

In various works L.L.Maksimova proved Craig Interpolation Property for numerous predicate modal systems, and also studied stronger Lyndon Interpolation Property for QK, QK4, QS4, QT. With the help of L.L.Maksimova's ideas and techniques I have extended this proof and proven Lyndon Interpolation Theorem for logics QK \oplus tra_m and polymodal logics QK_n, QK4_n, QS4_n, QT_n, QK_n \oplus tra_m.

Full text (added June 2, 2024)

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