semi-lattice diagram

Alexander’s diagram where child nodes can belong to multiple parents, representing overlapping sets and complex urban structure, in contrast to tree.

Neighborhood — ranked by edge-count

concept

Tree structure
extends
A hierarchical branching structure with single-parent nodes, which Alexander rejected for urban design.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Alexander’s semi-lattice diagram adequately represents the relationships of complex organisms, like the urban space of the pre-industrial city with its overlapping uses.claim0.793
Claim that the semi-lattice overcomes the reductionism of tree diagrams, capturing real urban complexity.
Complete Latticeconcept0.773
Complete Latticesframework0.755
Central mathematical structure explored throughout the paper; ordered sets with special properties for all suprema and infima.
Concept Latticeconcept0.751
Central algebraic structure in FCA that orders formal concepts and preserves information from formal contexts.
Semilatticeconcept0.745
A non-hierarchical network structure where elements have multiple connections, proposed by Alexander for organizing complexity in cities.
Is there a concept lattice?question0.739
Question posed for the driving test many-valued context.
Lattice as Algebraic Structureconcept0.739
Poset with join and meet operations satisfying associativity, commutativity, idempotency, and absorption laws.
process latticeconcept0.739
Hierarchical structure of concurrent expert processes envisioned for real-time monitoring applications.