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» Cut-Simulation in Impredicative Logics
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JSYML
2007
97views more  JSYML 2007»
13 years 7 months ago
Sublocales in formal topology
The paper studies how the localic notion of sublocale transfers to formal topology. For any formal topology (not necessarily with positivity predicate) we define a sublocale to b...
Steven Vickers
LPAR
2010
Springer
13 years 6 months ago
On Strong Normalization of the Calculus of Constructions with Type-Based Termination
Termination of recursive functions is an important property in proof assistants based on dependent type theories; it implies consistency and decidability of type checking. Type-bas...
Benjamin Grégoire, Jorge Luis Sacchini
TLDI
2009
ACM
169views Formal Methods» more  TLDI 2009»
14 years 4 months ago
Relational parametricity for references and recursive types
We present a possible world semantics for a call-by-value higherorder programming language with impredicative polymorphism, general references, and recursive types. The model is o...
Lars Birkedal, Kristian Støvring, Jacob Tha...
TLCA
2007
Springer
14 years 1 months ago
Higher-Order Logic Programming Languages with Constraints: A Semantics
A Kripke Semantics is defined for a higher-order logic programming language with constraints, based on Church’s Theory of Types and a generic constraint formalism. Our syntactic...
James Lipton, Susana Nieva
POPL
2007
ACM
14 years 7 months ago
A very modal model of a modern, major, general type system
We present a model of recursive and impredicatively quantified types with mutable references. We interpret in this model all of the type constructors needed for typed intermediate...
Andrew W. Appel, Christopher D. Richards, Jé...