Results 11 to 20 of about 304 (134)

Constructive Galois connections: taming the Galois connection framework for mechanized metatheory [PDF]

open access: yesACM SIGPLAN Notices, 2016
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

Constructive Galois Connections [PDF]

open access: yesJournal of Functional Programming, 2019
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
openaire   +3 more sources

Programming from Galois connections [PDF]

open access: yesThe Journal of Logic and Algebraic Programming, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shin-Cheng Mu, José Nuno Oliveira
openaire   +4 more sources

Galois Connections and Data Mining [PDF]

open access: yesJ. Univers. Comput. Sci., 2000
JUCS - Journal of Universal Computer Science Volume Nr.
Cristofor,Dana   +2 more
openaire   +3 more sources

Lagois connections — a counterpart to Galois connections

open access: yesTheoretical Computer Science, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Austin Melton   +2 more
openaire   +1 more source

Pair algebras and Galois connections [PDF]

open access: yesInformation Processing Letters, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

ESSENTIAL AND RETRACTABLE GALOIS CONNECTIONS [PDF]

open access: yesJournal of Algebra and Its Applications, 2013
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 ...
openaire   +2 more sources

On Constructivity of Galois Connections [PDF]

open access: yes, 2017
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.
openaire   +1 more source

On the additive image of zeroth persistent homology

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
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

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