Cut-elimination for simple type theory with an axiom of choice
Journal of Symbolic Logic 64 (2):479-485 (1999)
| Abstract | We present a cut-elimination proof for simple type theory with an axiom of choice formulated in the language with an epsilon-symbol. The proof is modeled after Takahashi's proof of cut-elimination for simple type theory with extensionality. The same proof works when types are restricted, for example for second-order classical logic with an axiom of choice | |||||||||
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Branislav R. Boričić (1986). A Cut-Free Gentzen-Type System for the Logic of the Weak Law of Excluded Middle. Studia Logica 45 (1):39 - 53.
J. W. Degen (1999). Complete Infinitary Type Logics. Studia Logica 63 (1):85-119.
Roy Dyckhoff & Luis Pinto (1998). Cut-Elimination and a Permutation-Free Sequent Calculus for Intuitionistic Logic. Studia Logica 60 (1):107-118.
David J. Pym (1995). A Note on the Proof Theory the λII-Calculus. Studia Logica 54 (2):199 - 230.
Paul C. Gilmore (2001). An Intensional Type Theory: Motivation and Cut-Elimination. Journal of Symbolic Logic 66 (1):383-400.
Satoko Titani (1973). A Proof of the Cut-Elimination Theorem in Simple Type Theory. Journal of Symbolic Logic 38 (2):215-226.
Gilles Dowek & Benjamin Werner (2003). Proof Normalization Modulo. Journal of Symbolic Logic 68 (4):1289-1316.
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