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Residuated Boolean algebra

In mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
ABSTRACT In an article dating back in 1992, Kosta Došen initiated a project of modal translations in substructural logics, aiming… 
2017
2017
Equality algebras were introduced by S. Jenei as a possible algebraic semantic for fuzzy type theory. In this paper, we introduce… 
2016
2016
  • Zhe LinMinghui Ma
  • Workshop on Logic, Language, Information and…
  • 2016
  • Corpus ID: 46407686
Residuated boolean algebras are introduced by Jonsson and Tsinakis [10] as generalizations of relation algebras. Jispen [12… 
Highly Cited
2015
Highly Cited
2015
The theory of residuated lattices, first proposed by Ward and Dilworth [5], is formalised in Isabelle/HOL. This includes concepts… 
2014
2014
  • M. El-Zekey
  • Rough Sets and Knowledge Technology
  • 2014
  • Corpus ID: 36079052
We investigate a general many-valued rough set theory, based on tied adjointness algebras, from both constructive and axiomatic… 
2011
2011
A residuated algebra (RA) is a generalization of a residuated groupoid; instead of one basic binary operation · with residual… 
2008
2008
Bounded residuated lattice ordered monoids (Rl-monoids) form a class of algebras which contains the class of Heyting algebras, i… 
2007
2007
1997
1997
We prove some theorems on representation of residuated semigroups and monoids in algebras of binary relations. One of them has…