Dane Sabo 244a744e67 predicates: PJ-validity halfspace as an inv1_holds conjunct + reach tube plots
Following user's review feedback (point 1):

prompt_critical_margin_heatup: a new entry under safety_limits that
proves the PJ reduction's validity condition (beta - rho > 0 with
margin) rather than hand-waving it.  Controller-specific
specialization for heatup: under feedback linearization,
rho_total = Kp*(T_ref - T_c), so rho ≤ 0.5*beta iff T_c ≥ T_ref -
32.5.  Worst-case T_ref = T_c0 at ramp end, so T_c ≥ 275.85 is
sufficient, which our tight-entry reach clears trivially.

Conjoined into inv1_holds. Safety proofs now target BOTH the
physical bounds AND the conditions that make the PJ approximation
sound. Saves Dane's rigor-over-vibes instinct (saved to memory).

plot_reach_tubes.jl: four-panel visualization of a reach-result .mat:
  (1) T_c / T_hot / T_cold envelopes overlaid
  (2) ΔT_core = T_hot - T_cold (power proxy, right-axis MW)
  (3) rho envelope in dollars, with ±1$ prompt lines
  (4) n envelope
Operation-mode plot saved to docs/figures/reach_operation_tubes.png.
Heatup PJ version pending — needs full per-step data from the
running reach_heatup_pj_tight_full.jl.

reach_heatup_pj.jl + reach_heatup_pj_tight_full.jl now save
per-timestep envelopes (t_arr, Tc_lo_ts, Tc_hi_ts, ...) so the
plotting script can overlay tubes vs time.

Next up: polytopic / SOS barriers, Tikhonov error bound for PJ.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2026-04-21 16:28:02 -04:00

pwr-hybrid-3-demo

Preliminary example for the HAHACS thesis — a verified hybrid controller for a small modular PWR startup. Composes three layers into one demonstrable pipeline:

  • Discrete layer (fret-pipeline/): FRET natural-language requirements → LTL → synthesized AIGER controller → state-machine diagram.
  • Continuous layer (code/): 10-state point kinetic equation + thermal-hydraulics PWR model with bounded steam-generator heat removal as the disturbance input. Controllers, linearization, LQR, reach-tube propagator, Lyapunov barrier — all Julia.
  • Verification artifacts (reachability/): predicate concretizations (single source of truth in predicates.json) and the standalone reach analysis writeup (WALKTHROUGH.md).
  • Research context (thesis/): the HAHACS PhD proposal.
  • Lab journal (journal/): chronological invention log in LaTeX.
  • Predicate explorer app (app/): Pluto.jl notebook bridging FRET predicates and continuous-state halfspaces.

Layout

pwr-hybrid-3-demo/
  CLAUDE.md                AI-facing context and architecture map
  docs/
    architecture.md        How the layers compose
    figures/               Shared figures for thesis + talks
  fret-pipeline/           FRET → ltlsynt → AIGER → state machine
  code/                    Plant model, controllers, reach (all Julia)
  reachability/            predicates.json + WALKTHROUGH.md
  app/                     Pluto.jl predicate explorer
  journal/                 LaTeX lab notebook
  hardware/                Ovation HIL artifacts (TBD)
  claude_memory/           Short AI-context notes
  thesis/                  [submodule] PhD proposal
  presentations/
    2026DICE/              [submodule] DICE 2026 abstract

Quickstart

Clone with submodules:

git clone --recurse-submodules <url>
cd pwr-hybrid-3-demo

Run the controller synthesis pipeline:

cd fret-pipeline
python3 scripts/fret_to_synth.py pwr_hybrid_3.json specs/synthesis_config_v3.json
bash scripts/synthesize.sh specs/synthesis_config_v3.json circuits
python3 scripts/trace_aiger.py circuits/PWR_HYBRID_3_DRC.aag diagrams
dot -Tpng diagrams/PWR_HYBRID_3_DRC_states.dot -o diagrams/PWR_HYBRID_3_DRC_states.png

Run the plant model and reach analysis:

cd code
julia --project=. -e 'using Pkg; Pkg.instantiate()'    # first time only

julia --project=. scripts/main_mode_sweep.jl           # all 5 DRC modes
julia --project=. scripts/reach_operation.jl           # operation-mode linear reach
julia --project=. scripts/barrier_lyapunov.jl          # Lyapunov barrier
julia --project=. scripts/barrier_compare_OL_CL.jl     # OL vs CL barrier
julia --project=. scripts/reach_heatup_nonlinear.jl    # nonlinear heatup (10s cap)

Open the predicate explorer:

cd app
julia --project=. -e 'using Pluto; Pluto.run()'
# Browser opens; navigate to predicate_explorer.jl

Soundness note: the current reach tubes are over-approximations of the LINEAR model, not sound over-approximations of the nonlinear plant. See reachability/README.md and reachability/WALKTHROUGH.md.

Prerequisites

  • Julia 1.10+ (via juliaup).
  • Python 3.10+ (FRET pipeline only).
  • Spot for ltlsynt (brew install spot).
  • Graphviz for dot (brew install graphviz).
  • LaTeX (via latexmk) for the thesis + journal builds.

Further reading

  • CLAUDE.md — orientation for AI agents working in this repo
  • docs/architecture.md — how the layers compose
  • code/CLAUDE.md — code architecture, conventions, validity range
  • code/README.md — usage and dependencies
  • reachability/README.md — reach scope, soundness status
  • reachability/WALKTHROUGH.md — standalone analysis writeup
  • journal/README.md — journal format conventions
  • journal/journal.tex — the journal itself, dated entries
  • thesis/CLAUDE.md — the thesis project structure
  • fret-pipeline/README.md — FRET naming conventions and pipeline details
Description
No description provided
Readme 6.7 MiB
Languages
Julia 46.5%
TeX 34.5%
Python 17.5%
Shell 1.5%