Aristotelian Relations in PDL: The Hypercube of Dynamic Oppositions (2017), p. 405
by García-Cruz, José David

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Caption

Squares of opposition in $PDL^{(\neg)}$

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

Square (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

dynamic logic

Edge description

Style

Diagram is colored

Yes

Diagram is embellished

No