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Plea for a recap



Thanks to forgetting to update my address on several lists, I have come to this discussion well into the thick of it.  I have been trying to reconstruct where things are at the moment but 1) reading the messages in sequence constantly takes me off on tangents, from which I never quite get back to the point I was pursuing, and 2) reading by topic plants me in the middle of developed themes with no indication where the givens (terminology, abbreviations, etc.) come from, making it hard to blend them into a whole.  Could someone provide a succinct summary of where matters stands now on Xorban and anything else that is relatively stable?

What I have at the moment is a confusing mass of notes, which I can sum up as something like the following (ignoring phonology and morphology, if I can)

The core of a sentence is a predicate followed by variables, separated by markers.

There is some discussion about how to treat arguments that are not needed for the present sentence (drop, insert dummies, use local variables) and how to add arguments, particularly agents, all without complicating the (I can't yet figure out) restrictions on the structure.

The core is preceded by other predicate+variable pieces that characterize the variables involved in the core.

The variables are also quantified as universal, particular, or specific(?) and maybe others.
  
Cores with more or less the same variables may be strung together to indicate that they are to be evaluated simultaneously (and at the same place?), as comprising single events.  

Some logical operations are apparently being dealt with by means of predicates rather than overtly logical operations: e.g.,the degree of overlaps of two sets of events rather than a quantifier on events, say.

Any of this vaguely right?  How can the rest be corrected? What more is there to be said?