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CCA
2009
Springer
13 years 11 months ago
Effective Choice and Boundedness Principles in Computable Analysis
Abstract. In this paper we study a new approach to classify mathematical theorems according to their computational content. Basically, we are asking the question which theorems can...
Vasco Brattka, Guido Gherardi
AI
2000
Springer
13 years 7 months ago
Boolean connection algebras: A new approach to the Region-Connection Calculus
The Region-Connection Calculus (RCC) is a well established formal system for qualitative spatial reasoning. It provides an axiomatization of space which takes regions as primitive...
John G. Stell
DGCI
2000
Springer
13 years 11 months ago
A New Means for Investigating 3-Manifolds
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. Th...
Vladimir Kovalevsky
CADE
2008
Springer
14 years 7 months ago
On Automating the Calculus of Relations
Relation algebras provide abstract equational axioms for the calculus of binary relations. They name an established area of mathematics with various applications in computer scienc...
Georg Struth, Peter Höfner
COMBINATORICS
2004
48views more  COMBINATORICS 2004»
13 years 7 months ago
Partition Identities I: Sandwich Theorems and Logical 0-1 Laws
The Sandwich Theorems proved in this paper give a new method to show that the partition function a(n) of a partition identity A(x) := n=0 a(n)xn = n=1 (1 - xn )-p(n) satisfies t...
Jason P. Bell, Stanley Burris