IndisputableMonolith.Causality.BoundedStep
The BoundedStep module defines a locally-finite step relation with bounded out-degree as the core object in the causality domain. Researchers modeling discrete causal structures cite it to enforce finite local propagation. The module is definition-only and contains no theorems or proofs.
claimA step relation $R$ qualifies as BoundedStep when it is locally finite and every element has bounded out-degree.
background
The module belongs to the Causality domain and introduces the BoundedStep definition exactly as stated in its documentation. It assumes a discrete relational structure and imports only Mathlib for foundational types and predicates.
No upstream lemmas are referenced. The setting prepares bounded relations for use in causal arguments without reference to the phi-ladder, J-cost, or forcing chain.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the BoundedStep definition required by the causality section of the framework. It establishes the local finiteness and degree bound that later causal constructions presuppose, even though the current dependency graph lists no direct parent theorems.
scope and limits
- Does not prove any properties of the relation.
- Does not specify the underlying space or metric.
- Does not connect to the J-function or phi-ladder.
- Does not list concrete examples or instances.