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Definition of the inference system for HOL with ad-hoc overloading, including semantics in set theory and proofs of soundness and consistency.

ml_checker: Implementation of an I/O shim for extracting a cyclicity checker binary.

ml_kernel: Implementation of the monadic functions in (deeply embedded) CakeML, generated by the translator (proof-producing synthesis).

monadic: Implementation of the Candle kernel as monadic functions in HOL (i.e. a shallow embedding), and proof that they refine the HOL inference system.

semantics: Semantics, soundness, and consistency for the HOL inference system with ad-hoc overloading of constant definitions.

syntax: Syntax of the HOL inference system with ad-hoc overloading.