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emergent family

πŸ”€ Combinatorics-on-words symbolic richness (parameter-free)

2 novel Β· 0 crypto-prior Β· 0 excluded. Each row links its FOSS implementation + license + paper. Empirical orthogonality deferred.

#CandidateFOSS implementation @ licensePaper Β· provenanceCoverage
#118 critical_exponent_sign_word
The critical exponent of the per-bar sign(Ξ”mid) word over the 200-bar window: the supremum, taken over ALL factors of the word, of (factor length / it β€” ⚠ paper-ID β‘£ PENDING (G6)
⚠ lag-1 sign word (199 symbols) is the structural-minimum substrate.
sagemath/sage
GPL-3.0-or-later
arXiv:1406.0263
git-anchor: absent @c803ef96e + @2d308f1c
not-covered
#119 palindromic_defect_sign_word
The palindromic defect of the sign(Ξ”mid) word: D(w) = (|w| + 1) βˆ’ (number of DISTINCT palindromic factors of w, including the empty word). By the Drou
⚠ lag-1 sign word; DJP empty-word+singletons counted by fixed convention, not a knob.
sagemath/sage
GPL-3.0-or-later
DOI:10.1142/S012905410400242X
git-anchor: absent @c803ef96e + @2d308f1c
not-covered