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» A Computable Spectral Theorem
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CCA
2009
Springer
15 years 11 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
161
Voted
TLCA
2009
Springer
15 years 11 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
15 years 10 months 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 ...
140
Voted
CIE
2010
Springer
15 years 9 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
164
Voted
MFCS
2001
Springer
15 years 9 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