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Register a new userA Gentzen-style monadic translation of Godels System T
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Added by
Chuangjie Xu
Publication date
2019
fields
Informatics Engineering
and research's language is
English
Authors
Chuangjie Xu
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We introduce a syntactic translation of Goedels System T parametrized by a weak notion of a monad, and prove a corresponding fundamental theorem of logical relation. Our translation structurally corresponds to Gentzens negative translation of classical logic. By instantiating the monad and the logical relation, we reveal the well-known properties and structures of T-definable functionals including majorizability, continuity and bar recursion. Our development has been formalized in the Agda proof assistant.
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