Results 31 to 40 of about 12,528 (136)

Invertibility of functional Galois connections

open access: yesComptes Rendus. Mathématique, 2002
We consider equations of the form Bf=g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for max-
Akian, Marianne   +2 more
openaire   +2 more sources

A Constructive Framework for Galois Connections

open access: yes, 2017
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 ...
Ranzato, Francesco
core  

GALOIS CONNECTIONS AND FORMAL CONCEPT ANALYSIS

open access: yesDemonstratio Mathematica, 1994
We interpret the Galois connections between ordered sets as formal concepts of a context. For the Galois connections between complete lattices a more efficient description than \textit{Z. Shmuely}'s [Pac. J. Math. 54, 209-225 (1974; Zbl 0303.06004)] characterization is given by introducing Galois relations or Galois bonds.
openaire   +2 more sources

The Lamé family of connections on the projective line

open access: yes, 2008
International audienceThis paper deals with rank two connections on the projective line having four simple poles with prescribed local exponents 1/4 and -1/4. This Lamé family of connections has been extensively studied in the literature.
Loray, Frank   +2 more
core   +1 more source

Galois Connections for Recursive Types

open access: yes, 2020
Building a static analyser for a real language involves modeling of large domains capturing the many available data types. To scale domain design and support efficient development of project-specific analyzers, it is desirable to be able to build, extend, and change abstractions in a systematic and modular fashion.
Al-Sibahi, Ahmad Salim   +3 more
openaire   +3 more sources

Improving the efficiency of using multivalued logic tools. [PDF]

open access: yesSci Rep, 2023
Suleimenov IE   +3 more
europepmc   +1 more source

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

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