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This book presents a unified formal approach to various
contemporary linguistic formalisms such as Government &
Binding, Minimalism or Tree Adjoining Grammar. Through a careful
introduction of mathematical techniques from logic, automata theory
and universal algebra, the book aims at graduate students and
researchers who want to learn more about tightly constrained
logical approaches to natural language syntax. Therefore it
features a complete and well illustrated introduction to the
connection between declarative approaches formalized in monadic
second-order logic (MSO) and generative ones formalized in various
forms of automata as well as of tree grammars. Since MSO logic (on
trees) yields only context-free languages, and at least the last
two of the formalisms mentioned above clearly belong to the class
of mildly context-sensitive formalisms, it becomes necessary to
deal with the problem of the descriptive complexity of the
formalisms involved in another way. The proposed genuinely new
two-step approach overcomes this limitation of MSO logic while
still retaining the desired tightly controlled formal properties.
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