@prefix this: . @prefix sub: . @prefix np: . @prefix rdf: . @prefix prov: . @prefix npx: . @prefix dc: . @prefix xsd: . sub:Head { this: a np:Nanopublication; np:hasAssertion sub:assertion; np:hasProvenance sub:provenance; np:hasPublicationInfo sub:pubinfo . } sub:assertion { a ; dc: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."; "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."; "Claim test of wolfram2002-ch06-18: supports, confidence 0.93"; ; prov:wasAttributedTo ; "Elementary rules 126 and 90 only, periodic boundary, the locked width and seeds. Not evidence about organisms."; "claim-test/0.1.0"; "computational"; "At least one pair-state of rule 126 whose image after two steps is not the pair-encoding of rule 90."; "A match shows only that this computation behaves as claimed. It says nothing about organisms.", "The encoding is duplicated bits, and the match is every two steps. A different block encoding is not ruled out or in.", "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).", "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."; "Zero mismatches among the 65536 pair-states on the width-32 ring, and zero mismatched steps on the three 40-step trajectories."; "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."; "0.93"^^xsd:double; ; "supports"; "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."; "Exhaustive comparison on the paired subspace, plus three locked orbits. A mismatch count of zero supports the stated example."; "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'."; "false"^^xsd:boolean . . a ; dc:description "the stated pair, rule 126 emulating rule 90"; dc:license "generated data"; "Dataset: Rule 126 on all duplicated-pair states of a width-32 ring"; prov:wasDerivedFrom . } sub:provenance { a prov:SoftwareAgent; "delphisci claim tester (Grok 4.7; cursor/wolfram-claim-tests-b-355b)"; prov:actedOnBehalfOf ; . a ; dc:identifier "Grok 4.7" . sub:assertion prov:wasAttributedTo ; prov:wasDerivedFrom ; prov:wasGeneratedBy sub:test . sub:plan prov:hadPlan . sub:test a prov:Activity; prov:qualifiedAssociation sub:plan; prov:wasAssociatedWith . } sub:pubinfo { this: dc:created "2026-11-08T16:24:31.928Z"^^xsd:dateTime; dc:creator ; dc:license ; npx:hasNanopubType ; npx:introduces ; "Claim test of wolfram2002-ch06-18: supports, confidence 0.93"; . sub:sig npx:hasAlgorithm "RSA"; npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB"; npx:hasSignature "Xz+D1POsbx3sdyMkibEpvEzhGTVoFDggdvIdvU6kdVQcL62OqaA+oZR6WEjSGWUH78KTW4w0209qTTyM6Y0GHyMnazLsrkrihwpC/NcMctRnx317LGoXABjEpVtK+Ums0t+iWkQFKP2jdip7H5mRatLphm/EcS0x5htjH4FuTPrHCvLa2sRVmpyKNzbG8Cr5l3zTL5XLLC+MG/3kabp/p2Gisp/roWQicnGsHCWuxWqle2a3FP7Xq58wZhxssjIIH6E9Scj+AJDvZR5q9NiLR3ZINwLR2U041c9yTnJzfaYWrdYc5rP4TbpA9UZxJO370PGA7gVCLsanFT2gDIAT3Q=="; npx:hasSignatureTarget this:; npx:signedBy . }