Appendix 1: PSRs and Flat Tree Structures

# A1.5 Head movement in yes-no questions

Note: This is adapted from Section 6.19.

Recall from Section 6.7 that yes-no questions are questions that can be answered with yes or no, and are formed by swapping the positions of the subject and the auxiliary, which is called subject-auxiliary inversion, as shown in (1)-(3). In these examples, the subject is in bold and the auxiliary is underlined.

 (1) a. They have left. b. Have they left? (2) a. Iryna is eating cake. b. Is Iryna eating cake? (3) a. The man with the long beard and the plaid shirt is waving at you. b. Is the man with the long beard and the plaid shirt waving at you?

If there is no auxiliary, the auxiliary word DO is inserted, and then the auxiliary DO inverts.

 (4) a. Hari plays the viola. b. Hari does play the viola. c. Does Hari play the viola?

### Subject-Aux Inversion as Head Movement

Subject-auxiliary inversion reverses the order of the subject and the auxiliary. Thinking not in terms of the linear order of the subject and the auxiliary, but instead in terms of tree structure, could we state this transformation more precisely?

The tree for They have left, an ordinary declarative clause, will be as in Figure A1.13, according to our PSRs.

The structural relations in this tree encode the grammatical relations between the subject, the clause as a whole, and the predicate. Those relations should not be fundamentally different in a question. We just want to add a difference in the order of constituents, in order to mark that this is a question.

The simplest way to change the order of the subject and the auxiliary is to move one of them. We could either move the auxiliary up and to the left, or move the subject down and to the right.

If we think about embedded questions, these have a question complementizer above the S, if or whether.

This complementizer is in the same position that the auxiliary appears in in main clause questions: right before the subject. This gives us a way to understand subject-auxiliary inversion as movement of the auxiliary from S up and to the left, to land in C. This is illustrated in Figure A1.16.

The movement in Figure A1.16 is an example of Head Movement, which changes a tree by moving a head to the next head above it.

We can now restate the generalization about how Yes-No Questions are formed in English main clauses. To name an instance of head movement, you can identify the start and end points. So the movement we see in English main clause questions is called Aux-to-C movement.

 (6) Yes -No Question Formation in English Yes-No Questions are formed by moving the auxiliary in S to C.

This is a derivational way of representing the relationship between a fronted auxiliary and the position it occupies in statements: we start with one tree structure and make a change to it in order to arrive at the final structure. There are other ways to represent this dependency, some of which are pursued in non-derivational approaches to syntax.