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» Topological Duality in Semantics
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APAL
2008
90views more  APAL 2008»
13 years 10 months ago
On the unity of duality
Most type systems are agnostic regarding the evaluation strategy for the underlying languages, with the value restriction for ML which is absent in Haskell as a notable exception....
Noam Zeilberger
TOCL
2012
235views Formal Methods» more  TOCL 2012»
12 years 6 days ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
CCA
2005
Springer
14 years 3 months ago
A Lambda Calculus for Real Analysis
Abstract Stone Duality is a revolutionary theory that works directly with computable continuous functions, without using set theory, infinitary lattice theory or a prior theory o...
Paul Taylor 0002
MSCS
2006
89views more  MSCS 2006»
13 years 9 months ago
Quantum weakest preconditions
We develop a notion of predicate transformer and, in particular, the weakest precondition, appropriate for quantum computation. We show that there is a Stone-type duality between ...
Ellie D'Hondt, Prakash Panangaden
APAL
2005
125views more  APAL 2005»
13 years 9 months ago
Dynamic topological logic
Dynamic Topological Logic provides a context for studying the confluence of the topological semantics for S4, based on topological spaces rather than Kripke frames; topological dy...
Philip Kremer, Grigori Mints