Infrastructure · Data Structures
Tree
Branching reasoning topology
Definition
Mechanism
A branching Topology where multiple lines are explored simultaneously — lines of reasoning, of search, or of provenance. Allows backtracking and pruning of unpromising branches (BFS/DFS). A Tree is the constrained form of a directed acyclic graph where each non-root node has exactly one parent.
Invariants
- Rootedness: All nodes descend from a single root.
- Acyclicity: No node is an ancestor of itself.
Risks
Failure modes
None stated.
Relationships
Builds on
References
Interface for reasoning structures
Used by
References
Sequential data container (linked list)
Topology of N independently-rooted trees with no shared apex
Mind
Execute a cognitive topology
Mind
Apex triage node of a SolverTree, with Pathway Memory as its compounding learning site
The fractal unit of completed work
Society
Active hierarchy of coordinated solver instances
Mind
Navigate like a researcher, not linearly
Mind
Branching exploration (Macro for Think(Tree))
Society
Collective knowledge graph of all problem-solving
Reference
Parameters
breadthPositiveInteger, unspecified- Maximum branches explored per node. Left open at the foundation: binary trees use 2, beam search uses 50+, decision trees can be millions. Descendants specialize.
depthInteger, [1, 20]- Maximum tree depth
Data schema
{
"type": "object",
"required": [
"nodes",
"edges",
"root_id"
],
"properties": {
"nodes": {
"type": "array",
"description": "List of node IDs or objects"
},
"edges": {
"type": "array",
"description": "Adjacency list (parent->child)"
},
"root_id": {
"type": "string",
"description": "The single root node"
}
}
}