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On Mon, Oct 8, 2012 at 8:56 AM, And Rosta <and.rosta@hidden.email> wrote: > >And above the word-level, phonological structure > would probably be a mere concatenation of phonological words, certainly > without any of the elaborately (and pointlessly) patterned structure of > Lojban and its less egregious Xorban counterparts. You mean allowing any concatenation of phonological words at all? The point of the formal grammar is to select which concatenations of phonological words have meaning. Ideally the formal grammar selects all and only those concatenations that have meaning, and provides the structure needed to assign the corresponding meaning. [...] > Doing something similar for Core Xorban, for the non-binding tree, > we'd want something like: > complement := argument-terminal | phrase > phrase := head complement* > [where the number of complements varies according to the identity of the > Head]. What you would want then is: phrase := head-0 | head-1 complement | head-2 complement complement | head-3 complement complement complement | ... complement := argument-terminal | phrase which is either an infinite grammar or one with some fixed maximum of complements per head. That's basically what Xorban is, where (ignoring illocutionary-operators for now) head-0, head-3, head-4, etc are all empty, since Xorban only has head-1 and head-2. Head-1 is what we call unary operators, and head-2 are the binary operators, and "argument-terminal" are the atomic formulas. >And for binding, we'd want: > Binding := binder bindee* > But I can't see how to capture the fact that a binder is a head and its > bindees are contained within its complement. Why can't you just say that binders are (certain) heads (namely l-, r-, s- and x- in Xorban so far), and the bindees are any variables in the binder's desinence that are free in the complements? co ma'a xrxe