A Higher-Order Abstract Syntax Approach to the Verified Compilation of Functional Programs.To run the code on this page, you will need to download the Teyjus implementation of λProlog. To run the proof scripts, you need to download the version of Abella that supports schematic polymorphism (the development of this kind of polymorphism is described in the thesis).
This section illustrates the use of the HOAS approach in defining transformations on functional programs. It does this by showing how a compiler consisting of the continuation-passing style, the closure conversion, the code hoisting and code generation transformations can be realized via λProlog programs in the context of the simply typed λ-calculus augmented with recursion and some built-in arithmetic operations.
This section provides the proof scripts in Abella that verify the implementation of the compiler in λProlog. The initial subsections deal with library definitions and other related aspects that are common to the correctness proofs for the different transformations. The following subsections deal with the correctness proof of individual transformations. The last subsection shows the combination of the individual correctness proofs to form the full correctness proof.
The entire development can be downloaded as a tarball from here. Run 'make' command to compile the λProlog programs and the proof scripts. Make sure that the executables including the Teyjus compiler (tjcc) and linker (tjlink) and the Abella theorem prover (abella) are in the search path.
This material is based upon work supported by the National Science Foundation under Grant No CCF-0917140 and Grant No. CCF-1617771. The work has also received support from the University of Minnesota through a Doctoral Dissertation Fellowship and a Grant-in-Aid of Research. Any opinions, findings and conclusions or recommendations expressed in this material are those of the participants and do not necessarily reflect the views of the National Science Foundation.