Preprint / scholarly article

Typed Reality Compilation: Operational Tolerance Allocation for Resource-Efficient Cyber-Physical Frontier Compilation

K. Takahashi

Published
DOI
10.5281/zenodo.20554083

Full text PDF (Zenodo)

Abstract

Typed Reality Compilation (TRC) is a mathematical framework for compiling observable cyber-physical infrastructure into finite, typed process frontiers. The theory models physical, computational, communication, and control resources through typed ledgers, executable trace semantics, residual accounting, tolerance budgets, and resource-efficiency Pareto archives. Its central objective is not a single optimal action, but the preservation and operational improvement of future freedom: the remaining number, quality, reversibility, reserve, checkability, latency, cost, and resource-feasible process options after disturbances or system changes. This version develops TRC as a low-complexity finite certificate theory for practical infrastructure settings such as AI datacenter power, cooling, communication, sensing, repair, and control loops. It introduces operational tolerance allocation, progressive fidelity compilation, compositional tolerance propagation, telemetry-updated resource-cost kernels, trace-indexed resource-flow feasibility, causal event scheduling, lifecycle recomputation, and certified partial-frontier return under budget exhaustion. The framework separates deterministic, risk-provisional, relaxed, and diagnostic records, and ensures that approximation tolerance never reduces physical residuals or silently upgrades claim status. The result is a typed, machine-readable theory for resource-efficient cyber-physical planning, resilience analysis, and executable process frontier extraction under finite observation and finite computation.

Keywords

  • infrastructure resilience
  • resource efficiency
  • tolerance allocation
  • operational tolerance ledger
  • future freedom
  • executable trace semantics
  • Pareto frontier
  • progressive fidelity
  • causal event ordering
  • cyber-physical systems
  • physical resilience
  • AI datacenter infrastructure
  • communication networks
  • robust planning
  • process frontier

Identifiers and source records