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== Coindexation ==
== Coindexation ==


Sometimes you might see the letters <code>ijkx</code> in a frame. For example, {{t|sue}}'s frame is listed as <code>c c 1j</code> in the official dictionary.
Sometimes you might see the letters <code>ijx</code> in a frame. For example, {{t|sue}}'s frame is listed as <code>c c 1j</code> in the official dictionary.


The letters <code>i j k</code> refer to the first, second, and third arguments of the verb. They express a "coindexation" between the lambda arguments inside of a property or relation, and the arguments of the verb itself. A <code>1</code> slot is followed by one such letter and a <code>2</code> by two such letters.
The letters <code>i j</code> refer to the first and second arguments of the verb. They express a "coindexation" between the lambda arguments inside of a property or relation, and the arguments of the verb itself. A <code>1</code> slot is followed by one such letter and a <code>2</code> by two such letters.


For example, {{t|nue}} is <code>c c 1i</code>, because "{{orange|''x<sub>i</sub>''}} promises ''{{blue|x<sub>j</sub>}}'' to satisfy property ''P''" really means "{{orange|''x<sub>i</sub>''}} promises to ''{{blue|x<sub>j</sub>}}'' that {{orange|''P''(''x<sub>i</sub>'')}} will be brought about."
For example, {{t|nue}} is <code>c c 1i</code>, because "{{orange|<tt>i</tt>}} promises {{blue|<tt>j</tt>}} to satisfy property P" really means "{{orange|<tt>i</tt>}} promises to {{blue|<tt>j</tt>}} that {{orange|P(<tt>i</tt>)}} will be brought about."


But {{t|sue}} is <code>c c 1j</code> because "{{orange|''x<sub>i</sub>''}} asks ''{{blue|x<sub>j</sub>}}'' to satisfy property ''P''" really means "{{orange|''x<sub>i</sub>''}} asks of ''{{blue|x<sub>j</sub>}}'' that {{blue|''P''(''x<sub>j</sub>'')}} be brought about."  
But {{t|sue}} is <code>c c 1j</code> because "{{orange|<tt>i</tt>}} asks {{blue|<tt>j</tt>}} to satisfy property P" really means "{{orange|<tt>i</tt>}} asks of {{blue|<tt>j</tt>}} that {{blue|P(<tt>j</tt>)}} be brought about."  


And the frame of {{t|taq}} is <code>c 2ii</code>, as "{{orange|''x<sub>i</sub>''}} is in relation ''R'' with itself" really means "{{orange|''x<sub>i</sub>''}} satisfies {{orange|R(''x<sub>i</sub>'', ''x<sub>i</sub>'')}}."
And the frame of {{t|taq}} is <code>c 2ii</code>, as "{{orange|<tt>i</tt>}} is in relation R with itself" really means "{{orange|<tt>i</tt>}} is such that {{orange|R(<tt>i</tt>, <tt>i</tt>)}}."


The letter <code>x</code> means that there is no coindexation between the arguments of the verb and the lambda argument. The frame of {{t|mıa}} is <code>c 2ix</code> because the relation is applied between {{orange|''x<sub>i</sub>''}} and "many things ''x''".
The letter <code>x</code> means that there is no coindexation between the arguments of the verb and that lambda argument. The frame of {{t|mıa}} is <code>c 2ix</code> because the relation is applied between {{orange|<tt>i</tt>}} and "many things x".

Revision as of 13:33, 30 October 2023

A verb's frame is a little "signature" that tells you what arguments can go in what slots, and what happens when the verb is used to make a serial verb.

For example, the frame of sue is c c 1, meaning it has two "concrete" slots, and one "1-ary" property slot that will, in a serial verb, merge away with the subject of the next verb.

A frame consists of as many space-separated glyphs as it has argument slots, and each one describes what can go in that slot:

Frame glyphs
Glyph Meaning Telltale phrase Serial behavior
c "Concrete" (non-property) argument None
0 0-ary relation (proposition) "that ▯ is the case" Merge-into
1 1-ary relation (property) "to satisfy property ▯" Merge-away one
2 2-ary relation (relation) "to be in relation ▯ with" Merge-away two

Coindexation

Sometimes you might see the letters ijx in a frame. For example, sue's frame is listed as c c 1j in the official dictionary.

The letters i j refer to the first and second arguments of the verb. They express a "coindexation" between the lambda arguments inside of a property or relation, and the arguments of the verb itself. A 1 slot is followed by one such letter and a 2 by two such letters.

For example, nue is c c 1i, because "i promises j to satisfy property P" really means "i promises to j that P(i) will be brought about."

But sue is c c 1j because "i asks j to satisfy property P" really means "i asks of j that P(j) be brought about."

And the frame of taq is c 2ii, as "i is in relation R with itself" really means "i is such that R(i, i)."

The letter x means that there is no coindexation between the arguments of the verb and that lambda argument. The frame of mıa is c 2ix because the relation is applied between i and "many things x".