The dissertation argues that discourse reference in natural language involves two equally important components with essentially the same interpretive dynamics, namely reference to values, i.e. non-singleton sets of objects (individuals and possible worlds), and reference to structure, i.e. the correlation / dependency between such sets, which is introduced… (More)
Finite-state descriptions for temporal semantics are outlined through which to distinguish soft inferences reflecting manners of conceptualization from more robust semantic entailments defined over models. Just what descriptions are built (before being interpreted model-theoretically) and how they are grounded in models of reality explain (upon examination)… (More)
Finite-state methods are applied to the Russell-Wiener-Kamp notion of time (based on events) and developed into an account of interval relations and semi-intervals. Strings are formed and collected in regular languages and regular relations that are argued to embody temporal relations in their various un-derspecified guises. The regular relations include… (More)
Intervals and the events that occur in them are encoded as strings, elaborating on a conception of events as " intervals cum description. " Notions of satisfaction in interval temporal logics are formulated in terms of strings, and the possibility of computing these via finite-state machines/transducers is investigated. This opens up temporal semantics to… (More)
Events in natural language semantics are characterized in terms of regular languages, each string in which can be regarded as a temporal sequence of observations. The usual regular constructs (concatenation, etc.) are supplemented with superposition, inducing a useful notion of entailment, distinct from that given by models of predicate logic.
Notions of disambiguation supporting a compositional interpretation of ambiguous expressions and reeecting intuitions about how sentences combine in discourse are investigated. Expressions are analyzed both inductively by breaking them apart, and co-inductively by embedding them within larger contexts.
Conservativity in generalized quantifiers is linked to pre-supposition filtering, under a propositions-as-types analysis extended with dependent quantifiers. That analysis is underpinned by model-theoretically interpretable proofs which inhabit propositions they prove, thereby providing objects for quantification and hooks for anaphora.