Constraint-based Syntax 2: Week 5
A Simplified Type Hierarchy for Phrases
The type hierarchy for phrases of GS is fairly complex. In particular, Head-Complement Phrases are divided into the 2 subtypes fin-vp and nf-hc-ph. The motivation for this is that finite verb phrases in English have special properties with respect to negation and GS and Sag want to capture these properties in the definition of the type fin-vp. The disadvantage of this approach is that the second subtype of hd-comp-ph becomes cumbersome to state, since it includes phrases headed by non-finite verbs and phrases headed by nouns, adjectives, prepositions, and complementizers.
The online grammar avoids this complexity by eliminating the two types fin-vp and nf-hc-ph:
As a consequence, all the expressions which fell under one of these two types now simply have hd-compl-ph as their maximal phrase type.
Exercise
Go to the online grammar and type in expressions which you expect to be VPs (finite and non-finite), NPs, APs, and PPs. Click on the top node to convince yourself that all of these phrases belong to the type hd-compl-ph.
Type Constraints
The simplification of the phrase hierarchy requires some changes to the constraints associated with the types. But most constraints are actually unchanged. The Empty Comps Constraint and the Head-Feature Principle stay the same:
The constrains associated with most clause types also have not changed:
Complementizer clauses (that Lilly dances) require a change, though. They are the only hd-comp-ph which are clauses, since they have a message as their meaning. Therefore, we have to make sure that every complementizer clause actually belongs to the part of speech c. This is done in the first constraint below. Secondly, we must ensure that every hd-comp-ph" of part of speech c is actually a cp-cl, i.e. a complementizer clause:
Finally, there are constraints on the two subtypes of declarative clause in the online grammar. The first constraint says that Declarative Head-Subject Clauses must be finite.
The second constraint permits infinitives which have not found their subject yet, i.e. infinitival VPs to act as clauses (cf. the concept of satzwertiger Infinitiv in traditional German grammar).
Constraints on Verbs
The previous two phrase types we looked at, decl-hd-su-ph and decl-ns-ph are both required to be verbal. This is a good opportunity to look at some constraints of verbs.
Exercise
Below, four such constraints are stated in words. Using the same format of the constraints above, formalize each of the constraints.
1. Subject-Verb Agreement
Nouns and their specifiers share agreement features.
Formally:
Exercise 1 For I(cat1) and I(lilly), specify one plausible value each so that the formula cat1(lilly) becomes true in M.
Check your answer
I(cat1) = {<cat1>,<cat2>,<cat3>}
For I(lilly), each of the following 3 values will now make cat1(lilly) true in M:
a. I(lilly) = cat1 , or
b. I(lilly) = cat2 , or
c. I(lilly) = cat3 .
We prove this for case (b):
1. [[cat1(lilly)]]M = 1 iff <[[lilly]]M> ∈ I(cat1)
2. iff <I(lilly)> ∈ I(cat1)
3. iff <cat2> ∈ {<cat1>,<cat2>,<cat3>}
Hence: since (3) is the case, so are (2) and the righthand side of (1). Finally, since the righthand side of (1) is the case, the lefthand side is the case as well. Hence [[cat1(lilly)]]M is true in model M. That is what we intended to prove!
2. Case
The subjects of finite verbs bear nominative case.
3. Negation
Main verbs are never negated.
Formally:
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