https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/Head https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/assertion https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/provenance https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/pubinfo https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/assertion https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test http://purl.org/dc/terms/description analysis.py encodes each 16-bit mask as duplicated adjacent pairs on a periodic ring of width 32, applies rule 126 twice, and compares both cells of each pair with one step of rule 90. The same comparison is repeated for 40 double-steps on masks 256, 43690 and 42405. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--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-ch06-18--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 0 mismatches among 65536 pair-states (n = 65536, exact enumeration). Interpretation: The claim names rule 126 behaving like rule 90 when started from paired-cell blocks. The pair is the duplicated bit bb, and the match is every two steps, which is the alignment on which the two cells of a pair agree again. 'Quite common', and the further remark that class 3 rules can thereby act like class 2 rules, are outside this test. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of wolfram2002-ch06-18: supports, confidence 0.93 https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--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-ch06-18/result.json https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--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-ch06-18--claim-test https://w3id.org/delphi/ontology/admissibleDatasets Elementary rules 126 and 90 only, periodic boundary, the locked width and seeds. Not evidence about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/dataKind computational https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation At least one pair-state of rule 126 whose image after two steps is not the pair-encoding of rule 90. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/evidenceAgainst A match shows only that this computation behaves as claimed. It says nothing about organisms. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The encoding is duplicated bits, and the match is every two steps. A different block encoding is not ruled out or in. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The stated example holds on this ring: 0 mismatches in 65536 pair-states, and 0 mismatched steps on the three trajectories (41 comparisons each, counting the initial state). https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The test does not estimate how common such emulations are, and it does not check that class 3 rules can thereby act like class 2 rules. Those clauses of the claim are untested. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/expectedObservation Zero mismatches among the 65536 pair-states on the width-32 ring, and zero mismatched steps on the three 40-step trajectories. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/failCriterion Pre-registered. Any pair-state whose two-step image is not the rule-90 encoding refutes the stated example. A trajectory mismatch with a clean exhaustive check is mixed. There is no other-pair survey to fail. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.93 https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-18--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/hasVerdict supports https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/hypothesis On a ring of 16 duplicated pairs, every two steps of rule 126 return both cells of each pair to the pair-encoding of one step of rule 90, for every one of the 65536 pair-states. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/inferenceMethod Exhaustive comparison on the paired subspace, plus three locked orbits. A mismatch count of zero supports the stated example. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered. Encoding: each bit b is written as the adjacent pair bb. Ring width 32. For every mask in 0..65535, two steps of elementary rule 126 equal the pair-encoding of one step of elementary rule 90. The same equality is checked for 40 double-steps on three seeds: mask 256 (a single 1), mask 43690 (0xAAAA), and mask 42405 (0xA5A5). Supports if every pair-state matches and every trajectory step matches. This is only the stated pair rule 126 and rule 90. It is not a survey of other pairs, and it does not test the words 'quite common'. https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/ontology/preregistered false https://w3id.org/delphi/resource/claim/wolfram2002-ch06-18 https://w3id.org/delphi/ontology/hasAssessment https://w3id.org/delphi/resource/assessment/wolfram2002-ch06-18--claim-test https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-18--claim-test--dataset-1 http://purl.org/dc/terms/description the stated pair, rule 126 emulating rule 90 https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-18--claim-test--dataset-1 http://purl.org/dc/terms/license generated data https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-18--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-ch06-18--claim-test--dataset-1 http://www.w3.org/2000/01/rdf-schema#label Dataset: Rule 126 on all duplicated-pair states of a width-32 ring https://w3id.org/delphi/resource/evidence/wolfram2002-ch06-18--claim-test--dataset-1 http://www.w3.org/ns/prov#wasDerivedFrom https://www.wolframscience.com/nks/p269--special-initial-conditions/ https://w3id.org/np/RAC75kbIpCmBQAsg1NtcxP1ehCYZq8PykdkQEnBkGn9qY/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; 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