A family of grammars for Voynichese
In conclusion, the revised crust-mantle-core (CMC) model says that a word that fits the OKOKO model is valid if, after deleting the "O"s, it has the form

    Q^q D^d X^x G^g H^h X^y D^e N^n
   
where 
  • q,g,h,n may be 0 or 1;
  • g+h at most 1 (there can be at most one gallows per word);
  • q+d+e+n <= 3 (there can be at most three of Q, D, and N);
  • x+h+y <= 2 (, there can be at most two benches, counting a platform gallows as one bench.)

With these tighter rules, the statistics for the CMC level are
 
      all          gud          bad        % gud sec-type
    ------------ ------------ ------------  ----- ----------
     5966.750000  5824.687500   142.062500  97.62 bio-parags
      935.500000  904.750000     30.750000  96.71 cos-parags
     7277.500000  7035.625000   241.875000  96.68 hea-parags
     3157.375000  3034.875000   122.500000  96.12 heb-parags
     2100.750000  2034.625000    66.125000  96.85 pha-parags
    10095.250000  9665.500000   429.750000  95.74 str-parags
     2832.375000  2721.125000   111.250000  96.07 unk-parags

    32365.500000 31221.187500  1144.312500  96.46 tot-parags

That is, more than 96% of the words that fit the OKOKO model fit the CMC pattern above.

We also have that of the 33067.25 words that contain only valid EVA characters (no weirdos, "?", or the rare characters b g j u v w x z), 94.4% satisfy the rest of the model (parsing into elements, OKOKO structure, and CMC structure).  

Maybe the revised model is too tight, and some fraction of the 5.6% rejected words are in fact valid. But the number seems compatible with the theory that those 5.6% are indeed errors -- by the Author, by the Scribe, by the Retracers, and by the transcribers.  Especially words run together.

There probably are further rules relating the insertion of the "O"s in the CMC pattern.  For instance, maybe we can require that a "Q" is always followed by at least one "O", and an "N" is almost always preceded by at least one "O".   Said another way, maybe we can combine the OKOKO and CMC models in a single formula with rules that tie the number of "O"s in each slot to the presence or number of the other "Q", "D" etc elements.

All the best, --stolfi
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Messages In This Thread
A family of grammars for Voynichese - by Mauro - 27-11-2024, 04:19 PM
RE: A family of grammars for Voynichese - by Jorge_Stolfi - 29-12-2025, 09:59 AM
On the "ir" codas - by Jorge_Stolfi - 26-02-2026, 01:26 PM
RE: On the "ir" codas - by Jorge_Stolfi - 26-02-2026, 01:57 PM

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