Combinatorial Bitstring Semantics for Arbitrary Logical Fragments (2018), p. 353
by Demey, Lorenz; Smessaert, Hans
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Caption
- a General format of a Buridan octagon, and examples of Buridan octagons with formulas from b $\mathsf{S5}$ and c $\mathsf{FOL}$
- Aristotelian family
- Buridan Sigma-4
- Boolean complexity
- 6
- Number of labels per vertex (at most)
- 1
- Uniqueness of the vertices up to logical equivalence
- Yes
- 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
- No
- Mnemonic support (AEIO, purpurea ...)
- No
- Form
- none
- Label type
- symbolic
- Symbolic field
- logic
- Contains partial formulas or symbols
- Yes
- Logical system
- predicate 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
Style
Additional notes
- $Q_1Q_2(\neg)$ abbreviates the first-order formula $Q_1xQ_2y(\neg)R(x,y)$, for $Q_1,Q_2 \in\{\forall,\exists\}$; cf. p. 353.