IndisputableMonolith.CPM.LNALBridge
CPM.LNALBridge supplies a minimal structured-set surrogate consisting of programs that pass static checks. It serves as the interface layer importing the LNAL Compiler into the CPM domain of Recognition Science. Researchers formalizing computational models of physical structures cite it to connect static program validation with downstream defect and structured analyses. The module contains only definitions and relies on two imports with no internal proofs.
claimThe module defines a surrogate structured set $S$ of programs $p$ satisfying the static-check predicate, acting as a minimal bridge from the LNAL compiler into CPM representations.
background
This module sits inside the CPM component of Recognition Science, which builds all physics from the single functional equation whose landmarks include the J-uniqueness map $J(x)=(x+x^{-1})/2-1$, the self-similar fixed point phi, and the eight-tick octave leading to three spatial dimensions. It imports the LNAL Compiler to furnish a structured-set surrogate whose elements are precisely those programs that survive static checks. Sibling modules Structured and Defect then operate on this surrogate to introduce defect distance and further composition laws.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the computational entry point that lets CPM structures ingest LNAL programs, thereby feeding the parent forcing-chain results (T5 J-uniqueness through T8 D=3) and the Recognition Composition Law. It closes the interface gap between formal compiler output and the phi-ladder mass formulas used in later CPM derivations.
scope and limits
- Does not supply dynamic execution semantics for LNAL programs.
- Does not prove any correctness or preservation properties.
- Does not encode the J-cost function or phi-ladder directly.
- Does not contain any theorem statements or proof bodies.