Duality Patterns in 2-PCD Fragments (2017), p. 244
by Smessaert, Hans; Demey, Lorenz
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Caption
- Example of the $\textit{partially self-internal}$ degenerate (SICL) duality pattern: (a) degenerate square for the fragment $\mathcal{F}$, (b) self-internal collapsed square for $\delta^*(\pi_\alpha)$, (c) classical square for $\delta^*(\pi_\beta)$, (d) octagon for the fragment $\mathcal{F}^*$.
- Aristotelian family
- Jacoby-Sesmat-Blanché Sigma-3
- Boolean complexity
- 3
- Number of labels per vertex (at most)
- 1
- Uniqueness of the vertices up to logical equivalence
- No
- Errors in the diagram
- No
- Shape
- Octagon (regular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- Yes
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- dots
- Label type
- symbolic
- Symbolic field
- logic
- Contains partial formulas or symbols
- No
- Logical system
- propositional logic
- Contains definitions of relations
- No
- Form
- dash-double-dotted lines ,
- solid lines ,
- dash-dotted lines ,
- none
- Has arrowheads
- No
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- No
- Label type
- none
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Boolean closed ;
- Leuven ;
- duality