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STRESS_v0_Complete_Specification.md

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System Threat Resilience & Extreme Stress Suite (STRESS) v0

Complete Specification

Version: 0.1
Status: Technical Specification
Related Document: STRESS_v0_Technical_Brief.md

1. Scope of This Specification

This document defines the normative measurement methodology for STRESS v0.

It specifies:

  • Formal definitions of all Behavioral Proxies
  • Measurement procedures and normalization rules
  • Stress Resilience Index (SRI) construction
  • Statistical requirements for reproducibility
  • Explicit interpretation constraints

This document is authoritative for STRESS v0.
Any implementation claiming STRESS v0 compliance MUST conform to this specification.

While STRESS is orbital-first in motivation, all definitions in this specification are environment-agnostic and apply to any constrained computational environment where foundational operating assumptions are violated.

2. Definitions and Notation

Let:

  • W = declared workload under test
  • S = declared stress regime (SR-1 … SR-5 parameters)
  • Rᵢ = independent test run i
  • BPⱼ = Behavioral Proxy j, normalized to [0,1]
  • SRI ∈ [0,1]

All Behavioral Proxies MUST be defined such that their values lie within [0,1].

All metrics are computed per workload and per stress regime.
Results are invalid if workload or stress regime definitions differ.

3. Stress Regime Application Rules

3.1 Determinism and Reproducibility

  • Stress regime parameters MUST be fully declared prior to execution
  • Randomized stressors MUST use seeded pseudorandom generators
  • Each independent run MUST use an independently seeded stress realization
  • All seeds MUST be logged to enable replay and audit

3.2 Temporal Alignment

Stress injection MUST be temporally aligned with workload execution and applied consistently across all runs.

Stress regimes MAY be static or time-varying, but the temporal structure MUST be declared explicitly and held constant across comparative runs.

4. Behavioral Proxy Specifications

4.1 BP-1: Graceful Degradation Score (GDS)

Intent
Measure how system functionality degrades as stress intensity increases.

Procedure

  1. Execute workload W at ordered stress intensity levels s₁ … sₙ
  2. Measure task completion rate Cᵢ ∈ [0,1] at each level

Stress levels MUST be ordered monotonically by declared intensity.

Definition


GDS = (1 / n) × Σ Cᵢ

Interpretation
GDS captures average functional retention, not degradation shape. Systems exhibiting abrupt collapse and gradual degradation may receive identical GDS values.

4.2 BP-2: Autonomous Recovery Rate (ARR)

Intent
Measure the system’s ability to recover from faults without external intervention.

Procedure

  1. Inject faults classified as recoverable under baseline conditions
  2. Measure:
    • Fᵣ = number of recoverable faults injected
    • Fₐ = number of faults resolved autonomously

Definition


ARR = Fₐ / Fᵣ

4.3 BP-3: Isolation Survival Time (IST)

Intent
Measure endurance under complete isolation.

Procedure

  1. Enforce SR-5 complete isolation
  2. Measure time to irreversible failure T_f

Normalization


IST = min(T_f / T_max, 1.0)

Constraint
T_max MUST be identical across systems when IST values are compared.

4.4 BP-4: Resource Efficiency Under Constraint (REC)

Intent
Measure useful work per unit resource under constraint relative to baseline operation.

Procedure

  1. Measure baseline efficiency E_base
  2. Measure constrained efficiency E_stress

Definition


REC = min(E_stress / E_base, 1.0)

Validity Constraint
REC is valid only if baseline task completion exceeds a declared minimum threshold.

4.5 BP-5: Cascading Failure Resistance (CFR)

Intent
Measure containment of localized failures.

Procedure

  1. Inject a localized fault
  2. Measure:
    • C_local = number of affected components
    • C_total = total number of components

Definition


CFR = 1 − (C_local / C_total)

Component Definition Constraint
Components MUST be defined at a consistent abstraction level across all tests.

5. Stress Resilience Index (SRI)

5.1 Aggregation Formula

Let weights wⱼ satisfy:


Σ wⱼ = 1

Canonical STRESS v0 weighting uses equal weights with geometric mean:


SRI = (∏ BPⱼ)^(1/5) × 100

Or equivalently: SRI = exp((1/5) × Σ ln(BPⱼ)) × 100

Geometric mean ensures that zero resilience in any single dimension drives SRI toward 0, preventing weak-link masking that arithmetic aggregation would allow.

Alternate weightings MAY be used for exploratory analysis but MUST NOT be presented as canonical STRESS scores. Weighted SRI uses the weighted geometric mean: SRI = exp(Σ wⱼ × ln(BPⱼ)) × 100.

5.2 Statistical Reporting Requirements

  • Minimum of 10 independent test runs
  • Report:
    • Mean SRI
    • Standard deviation
    • 95% confidence interval

The statistical method used MUST be documented.

6. Reproducibility Requirements

An STRESS-compliant result MUST include:

  • Full stress regime definition
  • Workload specification
  • Random seeds used
  • Hardware and runtime environment summary
  • Software versions and dependencies

7. Interpretation Constraints

STRESS scores MUST NOT be used to:

  • Predict real-world system failure rates
  • Certify systems for deployment
  • Compare across stress regimes
  • Compare across workload classes

SRI values are comparative indicators only within declared constraints.

8. Versioning and Extension Rules

  • STRESS v0 Behavioral Proxy definitions are immutable
  • New stress parameters require a major version increment
  • New reference stress regimes MAY be added in minor versions
  • Weighting changes MUST NOT alter v0 canonical scores

9. Relationship to Implementation

This specification defines what must be measured.
Implementations define how measurements are realized.

Any implementation deviating from this specification MUST document deviations explicitly.

10. Summary

STRESS v0 provides a behaviorally grounded, statistically reproducible framework for evaluating computational resilience when foundational assumptions no longer hold.

This specification, together with the Technical Brief, defines the complete STRESS v0 standard.

End of Complete Specification