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» A Computable Spectral Theorem
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CCA
2009
Springer
16 years 1 months ago
Uniqueness, Continuity, and Existence of Implicit Functions in Constructive Analysis
We extract a quantitative variant of uniqueness from the usual hypotheses of the implicit functions theorem. This leads not only to an a priori proof of continuity, but also to an ...
Hannes Diener, Peter Schuster
208
Voted
TLCA
2009
Springer
16 years 1 months ago
Syntax for Free: Representing Syntax with Binding Using Parametricity
We show that, in a parametric model of polymorphism, the type ∀α.((α → α) → α) → (α → α → α) → α is isomorphic to closed n terms. That is, the type of closed ...
Robert Atkey
SKG
2006
IEEE
16 years 29 days ago
The Theory Grid and Grid Theorists
This paper proposes a novel research direction: to build the Theory Grid as cooperatively shared formal theories within a virtual organization, and then to implement Grid Theorist...
Jingde Cheng, Shinsuke Nara, Takahiro Koh, Yuichi ...
190
Voted
CIE
2010
Springer
15 years 11 months ago
Processes in Space
We introduce a geometric process algebra based on affine geometry, with the aim of describing the concurrent evolution of geometric structures in 3D space. We prove a relativity th...
Luca Cardelli, Philippa Gardner
191
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MFCS
2001
Springer
15 years 11 months ago
Automata on Linear Orderings
We consider words indexed by linear orderings. These extend finite, (bi-)infinite words and words on ordinals. We introduce finite automata and rational expressions for these w...
Véronique Bruyère, Olivier Carton