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2018•Lecture notes in computer scienceOpen access

A Verified Compiler from Isabelle/HOL to CakeML

Lars Hupel, Tobias Nipkow

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Abstract

Many theorem provers can generate functional programs from definitions or proofs. However, this code generation needs to be trusted. Except for the HOL4 system, which has a proof producing code generator for a subset of ML. We go one step further and provide a verified compiler from Isabelle/HOL to CakeML. More precisely we combine a simple proof producing translation of recursion equations in Isabelle/HOL into a deeply embedded term language with a fully verified compilation chain to the target language CakeML.

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Many theorem provers can generate functional programs from definitions or proofs. However, this code generation needs to be trusted. Except for the HOL4 system, which has a proof producing code generator for a subset of ML. We go one step further and provide a verified compiler from Isabelle/HOL to CakeML. More precisely we combine a simple proof producing translation of recursion equations in Isabelle/HOL into a deeply embedded term language with a fully verified compilation chain to the target language CakeML.

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Available abstract

Many theorem provers can generate functional programs from definitions or proofs. However, this code generation needs to be trusted. Except for the HOL4 system, which has a proof producing code generator for a subset of ML. We go one step further and provide a verified compiler from Isabelle/HOL to CakeML. More precisely we combine a simple proof producing translation of recursion equations in Isabelle/HOL into a deeply embedded term language with a fully verified compilation chain to the target language CakeML.

Key concepts: HOL, Computer science, Compiler, Programming language, Mathematical proof, Automated theorem proving, Recursion (computer science), Code generation

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