# Verified Metatheory and Type Inference for a Name-Carrying Simply-Typed Lambda Calculus

July 9, 2017

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### Abstract

I formalise a Church-style simply-typed $$\lambda$$-calculus, extended with pairs, a unit value, and projection functions, and show some metatheory of the calculus, such as the subject reduction property. Particular attention is paid to the treatment of names in the calculus. A nominal style of binding is used, but I use a manual approach over Nominal Isabelle in order to extract an executable type inference algorithm. More information can be found in my undergraduate dissertation.