#### Contact information
Office: 108A Ohio Stadium East, 1961 Tuttle Park Place, Columbus 43210
Office phone \#: (614) 292-2217
I'm on Special Research Assigment during Spring 2017, so won't be
teaching this semester, but will be on campus most Mondays, so if
you want to meet with me, let me know and we can work out a time to
- Empirically based investigations of type-logical categorial
grammar (TLCG) using a combined Abstract Categorial Grammar/Lambek
calculus foundation with independent λ-calculi for both
prosodic and sementic proof terms and an innovative hybrid
implicational logic (Kubota & Levine 2012; 2013a,b; 2015, 2016a,b; 2017a). We
present an application of this hybrid logic to yield a
simple analysis of Gapping as like-category coordination (Kubota &
Levine 2016a), as part of a full-scale unitary treatment of all
major 'non-constituent' coordination phenomena (Kubota &
Levine 2015; other work on the syntax/semantics interface carried out in our
research program appears in (Kubota & Levine 2016a,b; 2017a).
- Development of a wide-ranging approach to ellipsis phenomena
employing Hybrid TLCG along the lines of Kubota & Levine 2017a, and its interaction with the syntax and
semantics of extraction.
- Exploration of the role of proof-theoretic semantics, in
particular, Dependent Type Semantics along the lines of Ranta and
Bekki, in providing an empirically adequate formal framework for the
interpretive component of type-logical proof terms; Kubota & Levine
2017b illustrates the application of a particular
dependent type formalism to the notorious 'Geach scope parallelism'
problem posed by Right Node Raising (and other coordination phenomena).
- Syntactic conditions on polarity item distribution;
ramifications of the apparently anomalous entanglement of NPI and
auxiliary properties in the distribution of modal *need*, described
in Levine 2013a.
- Fundamental issues in grammatical theory; formal foundations and
well-foundedness of hybrid type logics incorporating both Lambek
and λ-implicational connectives and the possible embedding of
such logics in first-order linear logic with only a single mode of linear
implication, by means of a rich phenoterm subtyping, as per ongoing
work by Chris Worth.