ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Version v1.12 integrates Fase 41: minimal cone-table audit of the T=15 causal-cone mechanism. Fase 40 showed that a strict 25-cell causal cone simulated for 12 steps recovers defect_state0 in 20/20 minimal T=15 representatives, giving a 69.1x compression relative to the full 256-by-81 simulation. Fase 41 audits whether that successful cone hides a smaller formal object: a sparse induced truth table, fewer required input bits, or a pruned causal dependency graph. The result is negative at the table/input level and structural at the circuit level: - induced (b,d)->d_next tables are dense, using 49..62 of 64 possible keys;- all eight ordinary ECA truth-table entries are used in every representative;- the final active defect support still depends on all 25 initial cone inputs;- the only reduction is structural: computing the active localized output uses 234..310 internal cone nodes instead of all 325 cone nodes. The verdict is STRUCTURAL_CONE_REDUCTION_ONLY. The Fase 40 cone is close to minimal at the input-support level. The remaining symbolic target is Boolean simplification of a dense 25-input, 12-step local circuit, not further causal-support reduction. All results are reproducible from deterministic scripts. Repository:https://github.com/conchaestradamiguelangel-droid/zuse-automat-agent

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.21044801
Primary Topic
Cellular Automata and Applications
Type
preprint
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preprint

ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Miguel Angel Concha Estrada
Zenodo (CERN European Organization for Nuclear Research)
Cellular Automata and Applications
preprint

ZUSE Automat Agent: Empirical Law Discovery in Elementary Cellular Automata

Miguel Angel Concha Estrada
preprint en

Abstract

Version v1.12 integrates Fase 41: minimal cone-table audit of the T=15 causal-cone mechanism. Fase 40 showed that a strict 25-cell causal cone simulated for 12 steps recovers defect_state0 in 20/20 minimal T=15 representatives, giving a 69.1x compression relative to the full 256-by-81 simulation. Fase 41 audits whether that successful cone hides a smaller formal object: a sparse induced truth table, fewer required input bits, or a pruned causal dependency graph. The result is negative at the table/input level and structural at the circuit level: - induced (b,d)->d_next tables are dense, using 49..62 of 64 possible keys;- all eight ordinary ECA truth-table entries are used in every representative;- the final active defect support still depends on all 25 initial cone inputs;- the only reduction is structural: computing the active localized output uses 234..310 internal cone nodes instead of all 325 cone nodes. The verdict is STRUCTURAL_CONE_REDUCTION_ONLY. The Fase 40 cone is close to minimal at the input-support level. The remaining symbolic target is Boolean simplification of a dense 25-input, 12-step local circuit, not further causal-support reduction. All results are reproducible from deterministic scripts. Repository:https://github.com/conchaestradamiguelangel-droid/zuse-automat-agent

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Cellular Automata and Applications
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