%0 Journal Article %1 citeulike:14363157 %A Elliott, Conal %D 2017 %K %T Compiling to Categories %U http://conal.net/papers/compiling-to-categories/compiling-to-categories.pdf %X It is well-known that the simply typed lambda-calculus is modeled by any cartesian closed category (CCC). This correspondence suggests giving typed functional programs a variety of interpretations, each corresponding to a different category. A convenient way to realize this idea is as a collection of meaning-preserving transformations added to an existing compiler, such as GHC for Haskell. This paper describes such an implementation and demonstrates its use for a variety of interpretations including hardware circuits, automatic differentiation, incremental computation, and interval analysis. Each such interpretation is a category easily defined in Haskell (outside of the compiler). The general technique appears to provide a compelling alternative to deeply embedded domain-specific languages.

@article{citeulike:14363157, abstract = {{It is well-known that the simply typed lambda-calculus is modeled by any cartesian closed category (CCC). This correspondence suggests giving typed functional programs a variety of interpretations, each corresponding to a different category. A convenient way to realize this idea is as a collection of meaning-preserving transformations added to an existing compiler, such as GHC for Haskell. This paper describes such an implementation and demonstrates its use for a variety of interpretations including hardware circuits, automatic differentiation, incremental computation, and interval analysis. Each such interpretation is a category easily defined in Haskell (outside of the compiler). The general technique appears to provide a compelling alternative to deeply embedded domain-specific languages.}}, added-at = {2019-05-22T03:05:45.000+0200}, author = {Elliott, Conal}, biburl = {https://www.bibsonomy.org/bibtex/25261c1e23ecc7c451e30c68a580919a5/gdmcbain}, citeulike-article-id = {14363157}, citeulike-attachment-1 = {elliott_17_compiling.pdf; /pdf/user/gdmcbain/article/14363157/1110451/elliott_17_compiling.pdf; af90d37a3b4db0a6efa1ccfc9e99026245818348}, citeulike-linkout-0 = {http://conal.net/papers/compiling-to-categories/compiling-to-categories.pdf}, comment = {'Sydney Paper Club':https://www.meetup.com/Sydney-Paper-Club/events/239538124/ 2017-06-01 ---=note-separator=--- 'Haskell Cast 13':http://www.haskellcast.com/episode/013-john-wiegley-on-categories-and-compilers}, file = {elliott_17_compiling.pdf}, interhash = {4e51b7a5a1813b93830980c2b488fbc7}, intrahash = {5261c1e23ecc7c451e30c68a580919a5}, keywords = {}, posted-at = {2017-05-26 06:21:47}, priority = {5}, timestamp = {2019-05-22T03:05:45.000+0200}, title = {{Compiling to Categories}}, url = {http://conal.net/papers/compiling-to-categories/compiling-to-categories.pdf}, year = 2017 }