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ESOP
2009
Springer

Resolving Inductive Definitions with Binders in Higher-Order Typed Functional Programming

13 years 9 months ago
Resolving Inductive Definitions with Binders in Higher-Order Typed Functional Programming
This paper studies inductive definitions involving binders, in which aliasing between free and bound names is permitted. Such aliasing occurs in informal specifications of operational semantics, but is excluded by the common representation of binding as meta-level ion. Drawing upon ideas from functional logic programming, we represent such definitions with aliasing as recursively defined functions in a higher-order typed functional programming language that extends core ML with types for name-binding, a type of "semi-decidable propositions" and existential quantification for types with decidable equality. We show that the representation is sound and complete with respect to the language's operational semantics, which combines the use of evaluation contexts with constraint programming. We also give a new and simple proof that the associated constraint problem is NP-complete.
Matthew R. Lakin, Andrew M. Pitts
Added 16 Aug 2010
Updated 16 Aug 2010
Type Conference
Year 2009
Where ESOP
Authors Matthew R. Lakin, Andrew M. Pitts
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