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Subdirectly Irreducible and Semisimple Double Boolean Algebras

open access: yes
Double Boolean algebras are algebras of type (2, 2, 1, 1, 0, 0) introduced by Rudolf Wille to capture the equational theory of protoconcept algebras. A famous theorem of Birkhoff says that any variety is determined by its subdirectly irreducible members.
Temgoua Alomo, Etienne Romuald   +1 more
core   +1 more source

Boundary Algebra: A Simpler Approach to Boolean Algebra and the Sentential Connectives [PDF]

open access: yes
Boundary algebra [BA] is a algebra of type , and a simplified notation for Spencer-Brown’s (1969) primary algebra. The syntax of the primary arithmetic [PA] consists of two atoms, () and the blank page, concatenation, and enclosure between ‘(‘ and ...
Philip Meguire
core  

Robbins Algebras vs. Boolean Algebras 1

open access: yes, 2008
algebras. Robbins slightly changed one of them and asked if the resulted system is still a basis for variety of Boolean algebras. The solution (afirmative answer) was given in 1996 by Mc-Cune with the help of automated theorem prover EQP/OTTER.
Adam Grabowski
core  

Sheffer operation in relational systems. [PDF]

open access: yesSoft comput, 2022
Chajda I, Länger H.
europepmc   +1 more source

On Boolean posets of numerical events. [PDF]

open access: yesAdv Comput Intell, 2021
Dorninger D, Länger H.
europepmc   +1 more source

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