arXiv:1806.04709cs.PL
Syntax and Semantics of Cedille
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Abstract
This document presents the syntax, classification rules, realizability semantics, and soundness theorem for Cedille, an extrinsic (i.e., Curry-style) type theory extending the Calculus of Constructions, and designed for deriving of inductive datatypes, with their induction principles.
Here's one paper covering the derivation of a typed functional LALR(1) parser in which derivations are given explicitly in symbolic language, while proofs are just prose claims that an inductive proof is similar to the derivation…
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