Results 11 to 20 of about 304 (134)
Constructive Galois connections: taming the Galois connection framework for mechanized metatheory [PDF]
Galois connections are a foundational tool for structuring abstraction in semantics and their use lies at the heart of the theory of abstract interpretation. Yet, mechanization of Galois connections remains limited to restricted modes of use, preventing their general application in mechanized metatheory and certified programming. This
Van Horndavid
exaly +4 more sources
Landauer’s Principle as a Special Case of Galois Connection [PDF]
Radosław Kycia
exaly +2 more sources
Constructive Galois Connections [PDF]
Abstract Galois connections are a foundational tool for structuring abstraction in semantics, and their use lies at the heart of the theory of abstract interpretation. Yet, mechanization of Galois connections using proof assistants remains limited to restricted modes of use, preventing their general application in
David Darais, David Van Horn
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Programming from Galois connections [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shin-Cheng Mu, José Nuno Oliveira
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Galois Connections and Data Mining [PDF]
JUCS - Journal of Universal Computer Science Volume Nr.
Cristofor,Dana +2 more
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Lagois connections — a counterpart to Galois connections
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Austin Melton +2 more
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Pair algebras and Galois connections [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ESSENTIAL AND RETRACTABLE GALOIS CONNECTIONS [PDF]
For bounded lattices, we introduce certain Galois connections, called (cyclically) essential, retractable and UC Galois connections, which behave well with respect to concepts of module-theoretic nature involving essentiality. We show that essential retractable Galois connections preserve uniform dimension, whereas essential retractable UC Galois ...
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On Constructivity of Galois Connections [PDF]
Abstract interpretation-based static analyses rely on abstract domains of program properties, such as intervals or congruences for integer variables. Galois connections (GCs) between posets provide the most widespread and useful formal tool for mathematically specifying abstract domains.
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On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source

