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» Deriving Category Theory from Type Theory
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POPL
2004
ACM
14 years 9 months ago
Tridirectional typechecking
In prior work we introduced a pure type assignment system that encompasses a rich set of property types, including intersections, unions, and universally and existentially quantif...
Joshua Dunfield, Frank Pfenning
PLPV
2009
ACM
14 years 5 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
POPL
2008
ACM
14 years 9 months ago
Foundations for structured programming with GADTs
GADTs are at the cutting edge of functional programming and become more widely used every day. Nevertheless, the semantic foundations underlying GADTs are not well understood. In ...
Patricia Johann, Neil Ghani
TACAS
2009
Springer
99views Algorithms» more  TACAS 2009»
14 years 3 months ago
Ground Interpolation for the Theory of Equality
Abstract. Given a theory T and two formulas A and B jointly unsatisfiable in T , a theory interpolant of A and B is a formula I such that (i) its non-theory symbols are shared by ...
Alexander Fuchs, Amit Goel, Jim Grundy, Sava Krsti...
POPL
1997
ACM
14 years 28 days ago
Pizza into Java: Translating Theory into Practice
Pizza is a strict superset of Java that incorporates three ideas from the academic community: parametric polymorphism, higher-order functions, and algebraic data types. Pizza is d...
Martin Odersky, Philip Wadler