A propositional logic with explicit fixed points
Studia Logica 40 (2):155 - 175 (1981)
| Abstract | This paper studies a propositional logic which is obtained by interpreting implication as formal provability. It is also the logic of finite irreflexive Kripke Models.A Kripke Model completeness theorem is given and several completeness theorems for interpretations into Provability Logic and Peano Arithmetic. | |||||||||
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Anuj Dawar & Yuri Gurevich (2002). Fixed Point Logics. Bulletin of Symbolic Logic 8 (1):65-88.
Zachary Gleit & Warren Goldfarb (1989). Characters and Fixed-Points in Provability Logic. Notre Dame Journal of Formal Logic 31 (1):26-36.
Sergei Artemov & Giorgie Dzhaparidze (1990). Finite Kripke Models and Predicate Logics of Provability. Journal of Symbolic Logic 55 (3):1090-1098.
Ernst Zimmermann (2002). A Predicate Logical Extension of a Subintuitionistic Propositional Logic. Studia Logica 72 (3):401-410.
Aldo Ursini (1979). A Modal Calculus Analogous to K4w, Based on Intuitionistic Propositional Logic, Iℴ. Studia Logica 38 (3):297 - 311.
Konstantin N. Ignatiev (1993). On Strong Provability Predicates and the Associated Modal Logics. Journal of Symbolic Logic 58 (1):249-290.
Hirohiko Kushida (forthcoming). The Modal Logic of Gödel Sentences. Journal of Philosophical Logic.
A. D. Yashin (1999). Irreflexive Modality in the Intuitionistic Propositional Logic and Novikov Completeness. Journal of Philosophical Logic 28 (2):175-197.
Dick Jongh & Albert Visser (1991). Explicit Fixed Points in Interpretability Logic. Studia Logica 50 (1):39 - 49.
Dick H. J. Jongh & Franco Montagna (1987). Generic Generalized Rosser Fixed Points. Studia Logica 46 (2):193 - 203.
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