The ban on headless XP-movement is not narrow syntactic

This paper argues that the ban on headless XP-movement should not be captured in narrow syntactic terms. That is, there is no constraint in the syntactic computation preventing remnant movement of a phrase from which the head has been extracted, i.e., so-called Takano’s Generalization is wrong. This is demonstrated through a case study of the emphatic doubling construction in Rioplatense Spanish, which requires a derivation proceeding exactly along these lines. It is further argued that the relevant prohibition should be stated as a condition that applies at PF: A preliminary conjecture on the nature of this prohibition is also offered.

Impossible Presuppositions. On factivity, focus, and triviality

This paper analyzes certain restrictions on polarity focus marking in clauses embedded under emotive factive predicates. It argues that these restrictions arise because this configuration leads to a systematic presupposition failure in virtue of its focus value, which I call impossible presupposition. The main argument offered here supporting this approach involves some novel asymmetries with factive clauses in predicate doubling construction in Spanish. From a theoretical perspective, the larger agenda of this article is to provide new evidence that certain types of ungrammaticality are due to semantic-pragmatic factors, namely, logical triviality.

The V-one-V Construction and Modification of the Verbal Domain in Cantonese

This study deals with a syntactic analysis of the V-one-V construction that has implications on the structure of verbal modification in Cantonese. The V-one-V construction is unique in several ways, making it distinct from the cognate object construction in English or the verb-doubling construction in Cantonese. Several syntactic and semantic properties are discussed that support a syntactic analysis of V-one-V as an instance of syntactic verb copying (Corver and Nunes 2007) rather than a morphological treatment often prescribed to reduplication. The V-one-V construction consists of two copies of a verb with a number or quantifier jat1 ‘one’, loeng5 ‘two’, or gei2 ‘few’ between the copies. The construction denotes the delimitation of events, displaying interpretations of tentative, brief occurrences of events. This pattern indicates that V-one-V denotes delimitation in the senses of both counting and measuring and the choice depends on the nature of the VP, according to the data. This study also contributes to the discussion on postverbal modification as an alternative to V-one-V, which is more productive in its meaning and lexical choice.

Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes

We construct vertex transitive lattices on products of trees of arbitrary dimension [Formula: see text] based on quaternion algebras over global fields with exactly two ramified places. Starting from arithmetic examples, we find non-residually finite groups generalizing earlier results of Wise, Burger and Mozes to higher dimension. We make effective use of the combinatorial language of cubical sets and the doubling construction generalized to arbitrary dimension. Congruence subgroups of these quaternion lattices yield explicit cubical Ramanujan complexes, a higher-dimensional cubical version of Ramanujan graphs (optimal expanders).

Complementizer doubling and subject extraction in Italo-Romance

In this article I analyze the complementizer doubling construction attested in some early and modern Italo-Romance varieties, where a preposed (clausal or non clausal) constituent associated to the selected clause appears in the embedded left periphery preceded and followed by a subordinating complementizer. While the higher complementizer is uncontroversially interpreted as a lexicalization of the head Force°, the lower complementizer has been taken to lexicalize either the functional head Topic° or the functional head Fin°. Relying on previous formal analyses of subject extraction, I argue that in the varieties in which the lower complementizer lexicalizes Fin°, its presence reflects the lexicalization of the mood features encoded by Fin°, and is ultimately due to the extraction of the thematic subject out of the embedded clause through Spec,FinP, a movement strategy made possible by the presence of an expletive pro in the canonical preverbal subject position.

New Results on Binary Codes Obtained by Doubling Construction

Binary codes created by doubling construction, including quasi-perfect ones with distance d = 4, are investigated. All [17·2r−6, 17·2r−6 − r, 4] quasi-perfect codes are classified. Weight spectrum of the codes dual to quasi-perfect ones with d = 4 is obtained. The automorphism group Aut(C) of codes obtained by doubling construction is studied. A subgroup of Aut(C) is described and it is proved that the subgroup coincides with Aut(C) if the starting matrix of doubling construction has an odd number of columns. (It happens for all quasi-perfect codes with d = 4 except for Hamming one.) The properness and t-properness for error detection of codes obtained by doubling construction are considered.

Existence of Solutions

This chapter proves existence of solutions to the inhomogeneous problem using the Schauder estimate and analyzes a generalized Kimura diffusion operator, L, defined on a manifold with corners, P. The discussion centers on the solution w = v + u, where v solves the homogeneous Cauchy problem with v(x, 0) = f(x) and u solves the inhomogeneous problem with u(x, 0) = 0. The chapter first provides definitions for the Wright–Fisher–Hölder spaces on a general compact manifold with corners before explaining the steps involved in the existence proof. It then verifies the induction hypothesis and treats the k = 0 case. It also shows how to perform the doubling construction for P and considers the existence of the resolvent operator and a contraction semi-group. Finally, it discusses the problem of higher regularity.