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A General Notion of Realizability
"... Abstract We present a general notion of realizability encompassing both standard Kleene style realizability over partial combinatory algebras and Kleene style realizability overmore general structures, including all partial cartesian closed categories. We show how the general notion of realizabili ..."
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Abstract We present a general notion of realizability encompassing both standard Kleene style realizability over partial combinatory algebras and Kleene style realizability overmore general structures, including all partial cartesian closed categories. We show how the general notion of re
A General Notion of Realizability
 In Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
, 2000
"... We present a general notion of realizability encompassing both standard Kleene style realizability over partial combinatory algebras and Kleene style realizability over more general structures, including all partial cartesian closed categories. We show how the general notion of realizability can be ..."
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Cited by 5 (1 self)
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We present a general notion of realizability encompassing both standard Kleene style realizability over partial combinatory algebras and Kleene style realizability over more general structures, including all partial cartesian closed categories. We show how the general notion of realizability can
1. GENERAL NOTIONS AND PROPERTIES
"... Summary. Orthoposets are defined. The approach is the standard one via order relation similar to common text books on algebra like [9]. ..."
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Summary. Orthoposets are defined. The approach is the standard one via order relation similar to common text books on algebra like [9].
THE GENERAL NOTION OF THE SONICITY THEORY
"... In this paper we present the application of thermic effect on sonicity's theory. The sonic actions permit the best combination of facilities offered by the procesing of electrical signals (reduces energy) with sonical actions of great power and efficiency, which give the possibility of eliminat ..."
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In this paper we present the application of thermic effect on sonicity's theory. The sonic actions permit the best combination of facilities offered by the procesing of electrical signals (reduces energy) with sonical actions of great power and efficiency, which give the possibility of eliminating the bigest parts of a clasical hidraulical system (hidraulic reservoir, valve of regulating the debit), resulting on action which combine the opportunities offered by the processing the signals of low energy and the compact sonic actions, with high efficiency, with reduces volume, so very economic.
General Notions of Statistical Depth Function
, 2000
"... Statistical depth functions are being formulated ad hoc with increasing popularity in nonparametric inference for multivariate data. Here we introduce several general structures for depth functions, classify many existing examples as special cases, and establish results on the possession, or lack th ..."
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Cited by 87 (29 self)
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Statistical depth functions are being formulated ad hoc with increasing popularity in nonparametric inference for multivariate data. Here we introduce several general structures for depth functions, classify many existing examples as special cases, and establish results on the possession, or lack
General notions of depth for functional data
, 2012
"... A data depth measures the centrality of a point with respect to an empirical distribution. Postulates are formulated, which a depth for functional data should satisfy, and a general approach is proposed to construct multivariate data depths in Banach spaces. The new approach, mentioned as Φdepth, i ..."
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Cited by 2 (1 self)
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depth, is based on depth infima over a proper set Φ of Rdvalued linear functions. Several desirable properties are established for the Φdepth and a generalized version of it. The general notions include known functional data depths, such as the band depth and graph depths of LopezPintado and Romo, and many new
Generalized Notions of Mind Change Complexity
 In Proceedings of the Tenth Annual Conference on Computational Learning Theory
, 1997
"... Speed of convergence in Gold's identification in the limit model can be measured by deriving bounds on the number of mind changes made by a learner before the onset of convergence. Two approaches to date are bounds given by constants (referred here as Type 1) and bounds expressed as constructiv ..."
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Cited by 12 (6 self)
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introduces two more general approaches to bounding mind changes. These are based on counting by going down in a linearly ordered set (Type 3) and on counting by going down in a partially ordered set (Type 4). In both cases the set must not contain infinite, descending, and computable sequences. These four
The General Notion of Descent in Coarse Geometry
, 2010
"... In this article, we introduce the notion of a functor on coarse spaces being coarsely excisive a coarse analogue of the notion of a functor on topological spaces being excisive. Further, taking cones, a coarsely excisive functor yields a topologically excisive functor, and for coarse topological sp ..."
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Cited by 2 (2 self)
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In this article, we introduce the notion of a functor on coarse spaces being coarsely excisive a coarse analogue of the notion of a functor on topological spaces being excisive. Further, taking cones, a coarsely excisive functor yields a topologically excisive functor, and for coarse topological
A General Notion of Useful Information
"... In this paper we introduce a general framework for defining the depth of a sequence with respect to a class of observers. We show that our general framework captures all depth notions introduced in complexity theory so far. We review most such notions, show how they are particular cases of our gener ..."
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In this paper we introduce a general framework for defining the depth of a sequence with respect to a class of observers. We show that our general framework captures all depth notions introduced in complexity theory so far. We review most such notions, show how they are particular cases of our
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