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Fundamentals of Computation Theory
This volume contains abridged versions of most of the sectional talks and some invited lectures given at the International Conference on Fundamentals of Computation Theory held at Kazan State University, Kazan, USSR, June 22-26, 1987. The conference was the sixth in the series of FCT Conferences organized every odd year, and the first one to take place in the USSR. FCT '87 was organized by the Section of Discrete Mathematics of the Academy of Sciences in the USSR, the Moscow State University (Department of Discrete Mathematics), and the Kazan State University (Department of Theoretical Cybernetics). This volume contains selected contributions to the following fields: Mathematical Models of Computation, Synthesis and Complexity of Control Systems, Probabilistic Computations, Theory of Programming, Computer-Assisted Deduction. The volume reflects the fact that FCT '87 was organized in the USSR: A wide range of problems typical of research in Mathematical Cybernetics in the USSR is comprehensively represented.
Kybernetika
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Dependency Syntax
This work presents the first sustained examination of Dependency Syntax. In clear and stimulating analyses Mel'cuk promotes syntactic description in terms of dependency rather than in terms of more familiar phrase-structure. The notions of dependency relations and dependency structure are introduced and substantiated, and the advantages of dependency representation are demonstrated by applying it to a number of popular linguistic problems, e.g. grammatical subject and ergative construction. A wide array of linguistic data is used - the well-known (Dyirbal), the less known (Lezgian), and the more recent (Alutor). Several "exotic" cases of Russian are discussed to show how dependency can be used to solve difficult technical problems. The book is not only formal and rigorous, but also strongly theory-oriented and data-based. Special attention is paid to linguistic terminology, specifically to its logical consistency. The dependency formalism is presented within the framework of a new semantics-oriented general linguistic theory, Meaning-Text theory.
The Structure of Proof
For a one-semester freshman or sophomore level course on the fundamentals of proof writing or transition to advanced mathematics course. Rather than teach mathematics and the structure of proofs simultaneously, this text first introduces logic as the foundation of proofs and then demonstrates how logic applies to mathematical topics. This method ensures that the students gain a firm understanding of how logic interacts with mathematics and empowers them to solve more complex problems in future math courses.
The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal
The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level.
