Elementary set theory accustoms the students to mathematical abstraction, includes the standard constructions of relations, functions, and orderings, and leads to a discussion of the various orders of infinity. The material on logic covers not only the standard statement logic and first-order predicate logic but includes an introduction to formal systems, axiomatization, and model theory. The section on algebra is presented with an emphasis on lattices as well as Boolean and Heyting algebras. Background for recent research in natural language semantics includes sections on lambda-abstraction and generalized quantifiers. Chapters on automata theory and formal languages contain a discussion of languages between context-free and context-sensitive and form the background for much current work in syntactic theory and computational linguistics. The many exercises not only reinforce basic skills but offer an entry to linguistic applications of mathematical concepts. For upper-level undergraduate students and graduate students in theoretical linguistics, computer-science students with interests in computational linguistics, logic programming and artificial intelligence, mathematicians and logicians with interests in linguistics and the semantics of natural language.
The studies in this collection deal with a variety of subjects. Their focus is the Roman Empire in the East, the Roman army, Judaea in the Roman period, and Jewish history. Inscriptions are published in them and literary sources discussed. First, Judaea in the period before the arrival of the Romans as well as under Roman rule forms the centre of attention. Here, articles on specific documents are presented and historical problems discussed ranging from the Seleucid period to the Later Roman Empire. The second part of the book contains studies of the wider area and the third part is concerned with the Roman army, its organisation and aims in the Frontier areas. Many of these papers are hard to find and it is particularly valuable to have all of them together and logically arranged in one volume. Moreover extensive discussions of recent publications and newly published material have been added here.
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