Metalogical Decorations of Logical Diagrams (2016), p. 284
by Demey, Lorenz; Smessaert, Hans

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Caption

Generalized Post duality square for $\text{ID}$ and $\text{ENEG}$

Logic

Aristotelian family

Classical Sigma-2

Boolean complexity

3

Number of labels per vertex (at most)

1

Uniqueness of the vertices up to logical equivalence

Yes

Errors in the diagram

No

Geometry

Shape

Rectangle (irregular)

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

metalogic

Contains partial formulas or symbols

No

Edge description

Contains definitions of relations

No

Form

dash-double-dotted lines

,

solid lines

,

dash-dotted lines

Has arrowheads

No

Overlap

No

Curved

Yes

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.