Abstract
This paper introduces typed operational semantics, a class of formal systems which define a reduction to normal form for the welltyped terms of a particular type theory. These systems lead to a new approach to the metatheory for type theories, which we develop here for the simply typed lambda calculus. A similar approach can be used to study systems with dependent types.
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Goguen, H. (1995). Typed operational semantics. In: Dezani-Ciancaglini, M., Plotkin, G. (eds) Typed Lambda Calculi and Applications. TLCA 1995. Lecture Notes in Computer Science, vol 902. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014053
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DOI: https://doi.org/10.1007/BFb0014053
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