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TCS
1998
13 years 10 months ago
A Computational Model for Metric Spaces
In this paper we present an alternative order-theoretic proof of the Banach fixed point theorem for selfmaps on complete metric spaces which is based on formal balls and, contrary...
Abbas Edalat, Reinhold Heckmann
IWFM
2003
172views Formal Methods» more  IWFM 2003»
14 years 16 days ago
On Continuous Models of Computation: Towards Computing the Distance Between (Logic) Programs
We present a report on work in progress on certain aspects of a programme of research concerned with building formal, mathematical models both for aspects of the computational pro...
Anthony Karel Seda, Máire Lane
CIE
2005
Springer
14 years 4 months ago
A Network Model of Analogue Computation over Metric Algebras
Abstract. We define a general concept of a network of analogue modules connected by channels, processing data from a metric space A, and operating with respect to a global continu...
J. V. Tucker, Jeffery I. Zucker
PODS
1998
ACM
152views Database» more  PODS 1998»
14 years 3 months ago
A Cost Model for Similarity Queries in Metric Spaces
We consider the problem of estimating CPU (distance computations) and I/O costs for processing range and k-nearest neighbors queries over metric spaces. Unlike the specific case ...
Paolo Ciaccia, Marco Patella, Pavel Zezula
CORR
2008
Springer
107views Education» more  CORR 2008»
13 years 11 months ago
Metric Structures and Probabilistic Computation
Abstract. Continuous first-order logic is used to apply model-theoretic analysis to analytic structures (e.g. Hilbert spaces, Banach spaces, probability spaces, etc.). Classical co...
Wesley Calvert