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Boolean algebra

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Summary

A bounded distributive lattice in which every element has a complement.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Bounded distributive latticeBoolean algebra

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require every element to have a complement; distributivity makes it unique.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Boolean algebraComplete Boolean algebra

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require arbitrary joins and meets.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

Boolean algebraNormal modal algebra

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Add a normal unary operator interpreting necessity.

How to interpret this relation type

Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.

Relation sources