Executable Relational Specifications of Polymorphic Type Systems Using Prolog
Published In
Lecture Notes in Computer Science
Document Type
Citation
Publication Date
2-21-2016
Abstract
A concise, declarative, and machine executable specification of the Hindley–Milner type system (HM) can be formulated using logic programming languages such as Prolog. Modern functional language implementations such as the Glasgow Haskell Compiler support more extensive flavors of polymorphism beyond Milner’s theory of type polymorphism in the late 70’s. We progressively extend the HM specification to include more advanced type system features. An interesting development is that extending dimensions of polymorphism beyond HM resulted in a multi-staged solution: resolve the typing relations first, while delaying to resolve kinding relations, and then resolve the delayed kinding relations. Our work demonstrates that logic programing is effective for prototyping polymorphic type systems with rich features of polymorphism, and that logic programming could have been even more effective for specifying type inference if it were equipped with better theories and tools for staged resolution of different relations at different levels.
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DOI
10.1007/978-3-319-29604-3_8
Persistent Identifier
http://archives.pdx.edu/ds/psu/19003
Citation Details
Ahn, K. Y., & Vezzosi, A. (2016, March). Executable Relational Specifications of Polymorphic Type Systems Using Prolog. In International Symposium on Functional and Logic Programming (pp. 109-125). Springer International Publishing.