Metalogical Decorations of Logical Diagrams (2016), p. 245
by Demey, Lorenz; Smessaert, Hans

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Caption

a Generalized Post duality cube, and b, c two generalized Post duality squares

Logic

Aristotelian family

Moretti-Pellissier Sigma-4

Boolean complexity

4

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Cube (regular)

Colinearity range

0

Coplanarity range

0

Cospatiality range

0

Representation of contradiction

By central symmetry

Vertex description

Conceptual info

No

Mnemonic support (AEIO, purpurea ...)

No

Form

none

Label type

symbolic

Symbolic field

logic

Contains partial formulas or symbols

No

Logical system

propositional logic

Edge description

Contains definitions of relations

No

Form

dash-double-dotted lines

,

dash-dotted lines

,

none

Has arrowheads

No

Overlap

No

Curved

No

Hooked

No

As wide as vertices

No

Contains text

Yes

Label type

symbolic

Symbolic field

metalogic

Contains partial formulas or symbols

Yes

Style

Diagram is colored

No

Diagram is embellished

No

Tags

Leuven

;

generalized Post duality

;

duality

Additional notes

The edge label '1' indicates that internal negation applies to the first argument.

The edge label '2' indicates that internal negation applies to the second argument.