On the proof theory of the intermediate logic MH
Journal of Symbolic Logic 51 (3):626-647 (1986)
| Abstract | A natural deduction formulation is given for the intermediate logic called MH by Gabbay in [4]. Proof-theoretic methods are used to show that every deduction can be normalized, that MH is the weakest intermediate logic for which the Glivenko theorem holds, and that the Craig-Lyndon interpolation theorem holds for it | |||||||||
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Wolfgang Rautenberg (1986). Applications of Weak Kripke Semantics to Intermediate Consequences. Studia Logica 45 (1):119 - 134.
David Bostock (1997). Intermediate Logic. Oxford University Press.
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Miros>law Szatkowski (1981). On Fragments of Medvedev's Logic. Studia Logica 40 (1):39 - 54.
Dag Prawitz (1965/2006). Natural Deduction: A Proof-Theoretical Study. Dover Publications.
Dov M. Gabbay (2000). Goal-Directed Proof Theory. Kluwer Academic.
Tadeusz Prucnal (1979). On Two Problems of Harvey Friedman. Studia Logica 38 (3):247 - 262.
Larisa L. Maksimova (1979). Interpolation Properties of Superintuitionistic Logics. Studia Logica 38 (4):419 - 428.
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