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» Typed Logical Variables in Haskell
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FPCA
1989
14 years 21 days ago
Theorems for Free!
Parametric polymorphism constrains the behavior of pure functional programs in a way that allows the derivation of interesting theorems about them solely from their types, i.e., v...
Philip Wadler
PLDI
2010
ACM
14 years 6 months ago
Ur: Statically-Typed Metaprogramming with Type-Level Record Computation
Dependent types provide a strong foundation for specifying and verifying rich properties of programs through type-checking. The earliest implementations combined dependency, which...
Adam Chlipala
BIRTHDAY
2010
Springer
13 years 8 months ago
Programming Inductive Proofs - A New Approach Based on Contextual Types
In this paper, we present an overview to programming with proofs in the reasoning framework, Beluga. Beluga supports the specification of formal systems given by axioms and inferen...
Brigitte Pientka
CADE
2005
Springer
14 years 9 months ago
Reasoning in Extensional Type Theory with Equality
Abstract. We describe methods for automated theorem proving in extensional type theory with primitive equality. We discuss a complete, cut-free sequent calculus as well as a compac...
Chad E. Brown
DLOG
2010
13 years 6 months ago
Logic for Modeling Product Structure
A fragment of type theory with OWL class constructions for types and binary properties is used to formalize SysML Structural Block Diagram models. A structural SysML block diagram ...
Henson Graves