Deterministic empirical law discovery for elementary cellular automata (ECA).
ZUSE Automat Agent runs cellular-automata worlds, applies a fixed observer stack, evaluates seven binary cycle laws, and stores multi-seed evidence in reproducible journals. The discovery loop is policy-driven and deterministic: no language model participates in world selection, law evaluation, scoring, or acceptance.
Preprint
Latest: v1.38 - A mechanism-conditioned audit of the frozen minimal-rescue atlas identifies an exact 14-incidence Hamming budget for 122 rescues in 24 mixed K2 instances. External-attachment rescues allocate less connectivity toward the period-specific candidate universe and more toward the disjoint bridge graph. The result is descriptive, protocol-bounded, and not externally validated.
- v1.38 DOI: 10.5281/zenodo.22061658
- v1.37 DOI: 10.5281/zenodo.21965090
- v1.36 DOI: 10.5281/zenodo.21939732
- v1.35 DOI: 10.5281/zenodo.21935967
- v1.34 DOI: 10.5281/zenodo.21826401
- v1.33 DOI: 10.5281/zenodo.21709742
- v1.32 DOI: 10.5281/zenodo.21435062
- v1.31 DOI: 10.5281/zenodo.21433927
- v1.30 DOI: 10.5281/zenodo.21385475
- v1.29 DOI: 10.5281/zenodo.21385274
- v1.28 DOI: 10.5281/zenodo.21385190
- v1.27 DOI: 10.5281/zenodo.21328117
- v1.26 DOI: 10.5281/zenodo.21327839
- v1.25 DOI: 10.5281/zenodo.21327600
- v1.24 DOI: 10.5281/zenodo.21327353
- v1.23 DOI: 10.5281/zenodo.21326792
- v1.22 DOI: 10.5281/zenodo.21306875
- v1.21 DOI: 10.5281/zenodo.21306102
- v1.20 DOI: 10.5281/zenodo.21301212
- v1.19 DOI: 10.5281/zenodo.21220980
- v1.18 DOI: 10.5281/zenodo.21215386
- v1.17 DOI: 10.5281/zenodo.21205501
- v1.16 DOI: 10.5281/zenodo.21144178
- v1.15 DOI: 10.5281/zenodo.21117311
- v1.14 DOI: 10.5281/zenodo.21084311
- v1.13 DOI: 10.5281/zenodo.21045809
- v1.12 DOI: 10.5281/zenodo.21044802
- v1.11 DOI: 10.5281/zenodo.21034813
- v1.10 DOI: 10.5281/zenodo.21009303
- v1.9 DOI: 10.5281/zenodo.21001633
- v1.8 DOI: 10.5281/zenodo.21000646
- v1.7 DOI: 10.5281/zenodo.20971738
- v1.6 DOI: 10.5281/zenodo.20792051
- v1.5 DOI: 10.5281/zenodo.20768585
- v1.4 DOI: 10.5281/zenodo.20767477
- v1.3 DOI: 10.5281/zenodo.20753499
- v1.2 DOI: 10.5281/zenodo.20738025
- v1.1 DOI: 10.5281/zenodo.20687470
- v1.0 DOI: 10.5281/zenodo.20516375
- v1.38 concept DOI: 10.5281/zenodo.22061657
- v1.37 series DOI: 10.5281/zenodo.21965089
- v1.36 series DOI: 10.5281/zenodo.21939731
- v1.35 series DOI: 10.5281/zenodo.21935966
- v1.34 series DOI: 10.5281/zenodo.21826400
- v1.33 series DOI: 10.5281/zenodo.21709741
- v1.32 series DOI: 10.5281/zenodo.21435061
- v1.31 series DOI: 10.5281/zenodo.21433926
- v1.30 series DOI: 10.5281/zenodo.21385474
- v1.29 series DOI: 10.5281/zenodo.21385273
- v1.28 series DOI: 10.5281/zenodo.21385189
- v1.27 series DOI: 10.5281/zenodo.21328116
- v1.26 series DOI: 10.5281/zenodo.21327838
- v1.25 series DOI: 10.5281/zenodo.21327599
- v1.24 series DOI: 10.5281/zenodo.21327352
- v1.23 series DOI: 10.5281/zenodo.21326791
- v1.22 series DOI: 10.5281/zenodo.21306874
- v1.21 series DOI: 10.5281/zenodo.21306101
- v1.20 series DOI: 10.5281/zenodo.21301211
- v1.18 series DOI: 10.5281/zenodo.21215385
- v1.17 series DOI: 10.5281/zenodo.21205500
- v1.16 series DOI: 10.5281/zenodo.21144177
- v1.15 series DOI: 10.5281/zenodo.21117310
- v1.14 series DOI: 10.5281/zenodo.21084310
- v1.13 series DOI: 10.5281/zenodo.21045808
- v1.12 series DOI: 10.5281/zenodo.21044801
- v1.11 series DOI: 10.5281/zenodo.21034812
- v1.10 series DOI: 10.5281/zenodo.21009302
- v1.9 series DOI: 10.5281/zenodo.21001632
- v1.8 series DOI: 10.5281/zenodo.21000645
- v1.7 series DOI: 10.5281/zenodo.20971737
- v1.6 series DOI: 10.5281/zenodo.20792050
- v1.5 series DOI: 10.5281/zenodo.20768584
- v1.4 series DOI: 10.5281/zenodo.20767476
- v1.3 series DOI: 10.5281/zenodo.20753498
- Previous-series DOI (v1.2 and earlier): 10.5281/zenodo.20738024
- PDF: paper/zuse_preprint.pdf
Scientific Artifacts
- World taxonomy and law coverage matrix: formal classification of 20 worlds, seven-law coverage, and measured fragility where available.
- Scientific synthesis: consolidated findings across world families, law coverage, fragility mechanisms, and open questions.
- Physical-tree findings: meta-analysis of physical metrics that predict law richness.
- Fragility report: basin fragility spectrum and observed mechanisms.
- Rule 54 noise-gate anatomy: diagnosis of the dedup noise-boundary mechanism.
- Local oscillator family sweep:
exhaustive quiescent ECA sweep;
rule_108is unique under the current local oscillator protocol. - Periodicity sweep:
designed periodic ICs validate
periodicidadacross ECA.
Install
python -m venv .venv .\.venv\Scripts\Activate.ps1 pip install -r requirements.txt
Quick Start
Run a simulation:
python -m zaa simulate --rule 110 --steps 200 --width 256 --out outputs\rule110
Run a short deterministic discovery loop:
python -m zaa discover --world rule_110 --cycles 5 --journal journal.jsonl
Run the test suite:
python -m unittest discover -s tests
Reproducibility
See REPRODUCIBILITY.md for the commands used to regenerate the atlas, fragility reports, oscillator sweeps, and periodicity results.
Large raw JSONL outputs are not tracked in git when they exceed 1 MB. The corresponding scripts and summary reports are tracked, and the raw files can be regenerated from the commands in the reproducibility guide.
Citation
Concha Estrada, M. A. (2026). ZUSE Automat Agent: Empirical Law Discovery in
Elementary Cellular Automata (v1.38). Zenodo.
https://doi.org/10.5281/zenodo.22061658
License
Code is released under the MIT License. The preprint is distributed under Creative Commons Attribution 4.0 International via Zenodo.