MiniAgda: Integrating Sized and Dependent Types

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MiniAgda: Integrating Sized and Dependent Types
Sized types are a modular and theoretically well-understood tool for checking termination of recursive and productivity of corecursive definitions. The essential idea is to track structural descent and guardedness in the type system to make termination checking robust and suitable for strong abstractions like higher-order functions and polymorphism. To study the application of sized types to proof assistants and programming languages based on dependent type theory, we have implemented a core language, MiniAgda, with explicit handling of sizes. New considerations were necessary to soundly integrate sized types with dependencies and pattern matching, which was made possible by modern concepts such as inaccessible patterns and parametric function spaces. This paper provides an
Andreas Abel
Added 10 Feb 2011
Updated 10 Feb 2011
Type Journal
Year 2010
Where CORR
Authors Andreas Abel
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