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BIRTHDAY
2010
Springer
13 years 9 months ago
Metrization Theorem for Space-Times: From Urysohn's Problem towards Physically Useful Constructive Mathematics
In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...
Vladik Kreinovich
ENTCS
2006
109views more  ENTCS 2006»
13 years 8 months ago
Specifications via Realizability
We present a system, called RZ, for automatic generation of program specifications from mathematical theories. We translate mathematical theories to specifications by computing th...
Andrej Bauer, Christopher A. Stone
CIE
2007
Springer
14 years 2 months ago
Input-Dependence in Function-Learning
In the standard model of inductive inference, a learner gets as input the graph of a function, and has to discover (in the limit) a program for the function. In this paper, we cons...
Sanjay Jain, Eric Martin, Frank Stephan
CORR
1999
Springer
139views Education» more  CORR 1999»
13 years 8 months ago
Combinatorics of branchings in higher dimensional automata
ABSTRACT. We explore the combinatorial properties of the branching areas of execution paths in higher dimensional automata. Mathematically, this means that we investigate the combi...
Philippe Gaucher
MKM
2007
Springer
14 years 2 months ago
Biform Theories in Chiron
An axiomatic theory represents mathematical knowledge declaratively as a set of axioms. An algorithmic theory represents mathematical knowledge procedurally as a set of algorithms....
William M. Farmer