[lojban] Re: Lemma and conjecture

["Jorge Llambias" <jjllambias@hotmail.com>]

la pier cusku di'e

>Conjecture: If two lerpoi R and S which both lack 'y' are such that for all 
>i
>R[i:i+1] is a valid initial consonant pair, valid consonant pair, valid 
>lujvo
>diphthong, fa'u valid fu'ivla diphthong iff S[i:i+1], and R[i] is a vowel,
>consonant, fa'u y'ybu iff S[i] is, then R is a valid brivla iff S is,
>regardless of whether for some i R[i] is 'n', 'r', or 'l' and S[i] isn't.
>
>I am trying to prove the conjecture, but having trouble with words like
>{paske'usazri}, where removing the first rafsi results in {ke'usazri}, 
>which
>falls apart, while {ke'ursazri}, which is a lujvo, when {pas-} is added
>becomes {paske'ursazri}, which falls apart.

(Is the conjecture at all related to the lemma?)

I'm not sure what the status of {ke'unsazri} or {ke'upsazri} is.
Are they valid fu'ivla, because they can't be lujvo, or are they
not valid fu'ivla, because there are possible lujvo of the form
CVVC/CVCCV? If they are valid fu'ivla, then I can't see how the
conjecture could possibly be false. If they are not valid fu'ivla,
then obviously the conjecture is false.

mu'o mi'e xorxes


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