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Mathematical Logic in Asia

Mathematical Logic in Asia

Mathematical Logic in Asia
English | 328 pages | ISBN-10: 9812700455 | PDF | 13.58 MB

This volume is dedicated to the main areas of mathematical logic and applications to computer science. There are articles on weakly o-minimal theories, algorithmic complexity of relations, models inside the computable model theory, hierarchies of randomness tests, computable numberings, and complexity problems of minimal unsatisfiable formulas.
The problems of characterization of the deduction-detachment theorem, 1-induction, completeness of Lesniewski's systems, and reduction calculus for the satisfiability problem may also be discussed. The coverage includes the answer to Kanovei's question concerning the upper bound for the complexity of equivalence relations by convergence at infinity for continuous functions. The volume also gives some applications to computer science like solving the down sides of inductive interference of languages in the full number of positive examples and some negative data, the end results of random negative data, types of formal specification and verification on such basis as model theory and multiple-valued logics, interval fuzzy algebraic systems, the down sides of information exchange among agents on the base topological structures, and also the predictions provided by inductive theories.

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