Combinatorial Bitstring Semantics for Arbitrary Logical Fragments (2018), p. 331
by Demey, Lorenz; Smessaert, Hans
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Caption
- Three Aristotelian hexagons for $\mathsf{S5}$: a strong Jacoby-Sesmat-Blanché (JSB), b Sherwood-Czeżowski (SC), c unconnected-4 (U4)
- Aristotelian family
- Degenerate Sigma-3 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
- Hexagon (regular)
- 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
- modal logic
- Contains definitions of relations
- No
- Form
- dotted lines ,
- solid lines ,
- none ,
- dashed lines
- Has arrowheads
- Yes
- 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
- Leuven