Duality Patterns in 2-PCD Fragments (2017), p. 233
by Smessaert, Hans; Demey, Lorenz
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Caption
- (a) classical Aristotelian square, (b) classical duality square, (c) degenerate Aristotelian square, and (d) degenerate duality square (see Section 4 for more details on the concrete bitstring assignments used here).
- Aristotelian family
- Degenerate Sigma-2 with Unconnectedness 4
- Boolean complexity
- 4
- Number of labels per vertex (at most)
- 2
- Equivalence between (some) labels of the same vertex
- No
- Analogy between (some) labels of the same vertex
- No
- Uniqueness of the vertices up to logical equivalence
- Yes
- Errors in the diagram
- No
- Shape
- Rectangle (irregular)
- Colinearity range
- 0
- Coplanarity range
- 0
- Cospatiality range
- 0
- Representation of contradiction
- By central symmetry
Logic
Geometry
- Conceptual info
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- none
- Label type
- symbolic
- Symbolic field
- bitstrings ,
- logic
- Contains partial formulas or symbols
- No
- Contains protobitstrings
- No
- Bitstring length
- 4
- Logical system
- propositional logic
- Contains definitions of relations
- No
- Form
- solid lines ,
- none
- Has arrowheads
- No
- Overlap
- No
- Curved
- No
- Hooked
- No
- As wide as vertices
- No
- Contains text
- Yes
- Label type
- linguistic ,
- none
- Language
- English
- Contains partial sentences or single words
- Yes
- Contain abbreviations
- Yes
Vertex description
Edge description
- Diagram is colored
- No
- Diagram is embellished
- No
- Tags
- Leuven ;
- duality