https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/Head https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/assertion https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/provenance https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/pubinfo https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/assertion https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://purl.org/dc/terms/description analysis.py evolved elementary rules 110 and 30 for 500 steps from one black cell on a width-1001 line with fixed white boundaries. On rows 200..499 only the light cone was scored. Results: rule 110 {'R': 0.49483621469048955, 'P': 0, 'I': 0, 'C': 0}, rule 30 {'R': 0.01861473803581756, 'P': 0, 'I': 265, 'C': 0}. R is mean modal-7-mer coverage, P is persistent defect tracks of age at least 25, I is interactions, and C is 1 only when R >= 0.25, P >= 1 and I >= 1. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/Assessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 0 C(rule 110) - C(rule 30), where C is the locked mixture indicator (n = 2, exact on the locked lattice). Interpretation: Page 31 describes rule 110 as a mixture of a regular background (white triangles repeating every 7 steps), diagonal stripes, and localized structures that move and interact, and contrasts that with rules such as rule 30 whose average densities stay predictable even though the pattern looks random. The window length 7 is the period the page states. C measures the mixture. It does not measure predictability of averages, and it does not say that organisms produce these patterns. A finite run does not decide whether rule 110 eventually becomes periodic. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch02-06: refutes, confidence 0.45 https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://www.w3.org/2000/01/rdf-schema#seeAlso https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch02-06/result.json https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test http://www.w3.org/ns/prov#wasAttributedTo https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/admissibleDatasets The two elementary rules evolved by the standard base-2 numbering from a single black cell on the locked width and step count. No other initial condition is used for the verdict. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/dataKind computational https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation Rule 110 fails the coverage, persistence or interaction threshold. Both rules meeting the threshold is a mixed result, not support. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/evidenceAgainst Modal 7-mer coverage separated the rules: 0.495 for rule 110 and 0.019 for rule 30. Rule 110 still scored C=0 because its non-modal windows formed no defect run of length 1 to 35, so no localized track was counted. The locked indicator did not record the interacting structures the page describes. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The run stops at 500 steps. It does not decide whether rule 110 eventually becomes periodic, and it says nothing about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/evidenceAgainst Windows, track lengths and the coverage threshold are the pre-registered ones. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/expectedObservation Inside the light cone, rule 110 has modal-7-mer coverage at least 0.25, at least one localized track lasting 25 rows, and at least one interaction, while rule 30 fails at least one of those three. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/failCriterion Pre-registered. Refutes if C(110) = 0. Mixed if C(110) = 1 and C(30) = 1. A visual impression is not a measurement; only C, R, P and I count. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.45 https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/hasVerdict refutes https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/hypothesis From a single black cell, rule 110's rows mix a repetitive background with persistent localized structures that interact, and rule 30's rows do not, so the locked mixture indicator is 1 for rule 110 and 0 for rule 30. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/inferenceMethod Compute R, P and I as specified and set C to 1 only when all three thresholds hold. Support requires C(110)=1 and C(30)=0. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered, with the measured segment corrected before any run: cells outside the light cone are still the fixed white boundary, so they are not scored. Elementary rules 110 and 30, width 1001, fixed white boundaries, 500 steps, one black cell at the center. On each row t from 200 through 499, score only columns in [center - t, center + t]. Let R be the mean, over those rows, of the fraction of length-7 windows inside that segment equal to that segment's modal 7-mer (ties broken by the lexicographically smaller pattern). A defect window is one that is not the modal 7-mer. Particles are maximal runs of defect-window starts of length 1..35; the center is the midpoint of the run, in absolute column coordinates. Track particles from row to row by greedy nearest match with center displacement at most 3; a track that reaches age 25 is persistent. An interaction is a pair of alive tracks whose centers are at most 5 cells apart, with one of the two tracks dying within the next 15 rows. The mixture indicator C is 1 if R >= 0.25 and the number of persistent tracks P >= 1 and the number of interactions I >= 1, else 0. Supports if C(110) = 1 and C(30) = 0. https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/ontology/preregistered false https://w3id.org/delphi/resource/claim/wolfram2002-ch02-06 https://w3id.org/delphi/ontology/hasAssessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 http://purl.org/dc/terms/description the two elementary rules compared by the mixture indicator https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 http://purl.org/dc/terms/license generated https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/EvidenceItem https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 http://www.w3.org/2000/01/rdf-schema#label Dataset: Rules 110 and 30 from one black cell, width 1001, 500 steps https://w3id.org/delphi/resource/evidence/wolfram2002-ch02-06--claim-test--dataset-1 http://www.w3.org/ns/prov#wasDerivedFrom https://www.wolframscience.com/nks/p31--how-do-simple-programs-behave/ https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/provenance https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.w3.org/ns/prov#SoftwareAgent https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 http://www.w3.org/2000/01/rdf-schema#label delphisci claim tester (grok-4.7; cursor/wolfram-programs-c-b6e6) https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 http://www.w3.org/ns/prov#actedOnBehalfOf https://orcid.org/0009-0007-4948-9192 https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 https://w3id.org/delphi/ontology/usesModel https://w3id.org/delphi/resource/model/grok-4-7 https://w3id.org/delphi/resource/model/grok-4-7 http://purl.org/dc/terms/identifier grok-4.7 https://w3id.org/delphi/resource/model/grok-4-7 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/LanguageModel https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/assertion http://www.w3.org/ns/prov#wasAttributedTo https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/assertion http://www.w3.org/ns/prov#wasDerivedFrom https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch02-06/result.json https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/assertion http://www.w3.org/ns/prov#wasGeneratedBy https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/test https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/plan http://www.w3.org/ns/prov#hadPlan https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/README.md https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/test http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.w3.org/ns/prov#Activity https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/test http://www.w3.org/ns/prov#qualifiedAssociation https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/plan https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/test http://www.w3.org/ns/prov#wasAssociatedWith https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7 https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/pubinfo https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://purl.org/dc/terms/created 2026-11-08T16:24:31.915Z https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://purl.org/dc/terms/creator https://orcid.org/0009-0007-4948-9192 https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://purl.org/dc/terms/license https://creativecommons.org/licenses/by/4.0/ https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://purl.org/nanopub/x/hasNanopubType https://w3id.org/delphi/ontology/Assessment https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://purl.org/nanopub/x/introduces https://w3id.org/delphi/resource/assessment/wolfram2002-ch02-06--claim-test https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch02-06: refutes, confidence 0.45 https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE https://w3id.org/delphi/ontology/domain https://w3id.org/delphi/resource/domain/wolfram-nks-2002 https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/sig http://purl.org/nanopub/x/hasAlgorithm RSA https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/sig http://purl.org/nanopub/x/hasPublicKey MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/sig http://purl.org/nanopub/x/hasSignature iNBzYqXHP+Lb9dZRA3ZkKacgt4OvsIH424JBzYHwXgNnuFZn9RVHx1bdAYEDG9bkBLu2QHWYHHVVRX2ftEdq2RJCUsi2bNG/rOabP+qSD+zOvN2AkBLFrbis3pDYbhaGlll/xThsn84eGjSms/kuCNdU6N3IUjUInSu8ZJpxajH4tfr5pLTpBqPI76kXV4H3/LxgLYl3voKitbHifWRkC6jxb0erhfdAVgKuunjWI0Zjx8QeYjYpmKrr/ruGDLAwCE697FOtq9MtwssoQhX2N98iKL5x7PcrPmApv7I4pwzCl6XCGnIBSNRGvGcxRXOiqZ8eHUoPvFKcKk4eFD2mpQ== https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/sig http://purl.org/nanopub/x/hasSignatureTarget https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE https://w3id.org/np/RAXnlYhfGJ-2OGbnZVJ64WnG8dI11YjKNWpb00H4wYoPE/sig http://purl.org/nanopub/x/signedBy https://orcid.org/0009-0007-4948-9192