What 2psg is.

2psg is a new linguistic theory of mine. It is like context free phrase structure grammar (psg) except it has a 2nd, vertical, dimension.  Hence the "2" of the name "2psg".

The vertical dimension of language grammar corresponds closely to the term grammatical relations of Postal and Perlmutter's theory of Relational Gremmar.  Specifically, the 1, 2, 3 grammatical relations are heights along this vertical dimension.  They are characterized as degrees of obliqueness in  the grammatical theory HPSG, but here they will play a more fundamental role.

Linguists will notice that I have taken a number of ideas from familiar grammatical theories.  The easiest place for me to begin is Categorial Grammar (cg), but I will have to delay discussion of the fundamental idea of a vertical dimension in grammar for a bit.  Please be patient.

2psg is a form of generative grammar which is not modular.  Although you can make definitions to distinguish between grammar, lexicon, and phonology if you like, for convenience of reference, those distinctions are not fundamental to the theory.  There is also no sequential application of grammatical rules in the usual sense.

I begin in the next post with a proposal to adapt Categorial Grammar to context free phrase structure grammar.