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# | 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 {{t|sue}} is <code>c c 1</code>, meaning it has two "concrete" slots, and one "1-ary" property slot that will, in a serial verb, [[Serial_verb#Merging_definitions|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: | |||
{| class="wikitable" | |||
|+ Frame glyphs | |||
|- | |||
! Glyph !! Meaning !! Telltale phrase !! Serial behavior | |||
|- | |||
| <code>c</code> || "Concrete" (non-property) argument || None | |||
|- | |||
| <code>0</code> || 0-ary relation ([[proposition]]) || "that ▯ is the case" || [[Serial_verb#Merging_definitions|Merge-into]] | |||
|- | |||
| <code>1</code> || 1-ary relation ([[property]]) || "to satisfy property ▯" || [[Serial_verb#Merging_definitions|Merge-away one]] | |||
|- | |||
| <code>2</code> || 2-ary relation ([[relation]]) || "to be in relation ▯ with" || [[Serial_verb#Merging_definitions|Merge-away two]] | |||
|} | |||
== 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. | |||
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. | |||
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." | |||
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." | |||
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>'')}}." | |||
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''". |