We present a proof of correctness in Agda for four nanopasses that translate a source language with let binding, integer arithmetic, conditional expressions and Booleans into an intermediate language that is roughly x86 assembly with variables (prior to register allocation). The most interesting of these four nanopasses is a translation of conditional expressions into goto-style control flow that uses the continuation-oriented approach of Olivier Danvy’s one-pass transformation into monadic normal form (2003).

Jeremy Siek is a Professor at Indiana University Bloomington. Jeremy’s areas of research include programming language design, type systems, mechanized theorem proving using proof assistants, and optimizing compilers. Jeremy’s Ph.D. thesis explored foundations for constrained templates, aka the “concepts” proposal for C++. Prior to that, Jeremy developed the Boost Graph Library, a C++ generic library for graph algorithms and data structures. Jeremy post-doc’d at Rice University where he developed the idea of gradual typing: a type system that integrates both dynamic and static typing in the same programming language. Jeremy is currently working on several open questions regarding gradual typing. Is the polymorphic blame calculus really parametric? How should gradual typing be combined with other features such as dependent types? What is the formal criteria for gradually typed languages? Is it possible to create a high-performance implementation of a gradually-typed languages? In 2009 Jeremy received the NSF CAREER award to fund his project: “Bridging the Gap Between Prototyping and Production”. In 2010 and again in 2015, Jeremy was awarded a Distinguished Visiting Fellowship from the Scottish Informatics & Computer Science Alliance.