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Generalized Boolean models and classical predicate logic

open access: yes, 2013
This bachelor thesis is dealing with complete Boolean algebras and its use in semantics of first-order predicate logic. This thesis has two main goals, at first it is to show that every Boolean al- gebra can be extended to a complete Boolean algebra such
Lávička, Tomáš
core  

The sequential topology on complete Boolean algebras

open access: yes, 1998
We investigate the sequential topology $τ_{s}$ on a complete Boolean algebra B determined by algebraically convergent sequences in B. We show the role of weak distributivity of B in separation axioms for the sequential topology. The main result is that a
Jech, Thomas   +2 more
core  

Boolean Partition Algebras

open access: yes, 2013
A Boolean partition algebra is a pair $(B,F)$ where $B$ is a Boolean algebra and $F$ is a filter on the semilattice of partitions of $B$ where $\bigcup F=B\setminus\{0\}$.
Van Name, Joseph   +1 more
core  

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