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This is author-approved bcc: This is the third volume of a collection of seminal papers in the statistical sciences written during the past 110 years. These papers have each had an outstanding influence on the development of statistical theory and practice over the last century. Each paper is preceded by an introduction written by an authority in the field providing background information and assessing its influence. Volume III concerntrates on articles from the 1980's while including some earlier articles not included in Volume I and II. Samuel Kotz is Professor of Statistics in the College of Business and Management at the University of Maryland. Norman L. Johnson is Professor Emeritus of Statistics at the University of North Carolina. Also available: Breakthroughs in Statistics Volume I: Foundations and Basic Theory Samuel Kotz and Norman L. Johnson, Editors 1993. 631 pp. Softcover. ISBN 0-387-94037-5 Breakthroughs in Statistics Volume II: Methodology and Distribution Samuel Kotz and Norman L. Johnson, Editors 1993. 600 pp. Softcover. ISBN 0-387-94039-1.

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Mathematicians have long recognized the distinction between an argument showing that an interesting object exists and a procedure for actually constructing the object. Computer science adds a new dimension of interest in constructivity, since a computer program is a formal description of a constructive procedure that can be executed automatically. It has beenover a decade since a conference was devoted to constructivity, and never before has one been held specifically relating computer science to constructivity. Thus, this proceedings volume is the most concentrated offering ever produced of the diverse ways in which constructivity and computer science are related. The papers cover semantics and type theory, logic and theorem proving, real and complex analysis, topology and combinatorics, nonconstructive graph-theoretical techniques, and curriculum and pedagogic issues. The book offers a concentrated view of the many ways in which constructivity has assumed importance in computer science, and contains results available nowhere else.

Mathematical analysis --- Computer science --- -681.3*F32 --- 681.3*F33 --- 681.3*F41 --- 681.3*I23 --- Informatics --- Science --- Mathematics --- -Congresses --- Semantics of programming languages: algebraic approaches to semantics; denotational semantics; operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- Studies of program constructs: control primitives; functional constructs; program and recursion schemes; type structure (Logics and meanings of programs)-- See also {681.3*D32}; {681.3*D33} --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*I23 Deduction and theorem proving: answer/reason extraction; reasoning; resolution; metatheory; mathematical induction; logic programming (Artificial intelligence) --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F33 Studies of program constructs: control primitives; functional constructs; program and recursion schemes; type structure (Logics and meanings of programs)-- See also {681.3*D32}; {681.3*D33} --- 681.3*F32 Semantics of programming languages: algebraic approaches to semantics; denotational semantics; operational semantics (Logics and meanings of programs)--See also {681.3*D31} --- 681.3*F32 --- Mathematics&delete& --- Congresses --- Computer science - Mathematics - Congresses. --- Information theory. --- Mathematics. --- Computer science. --- Artificial intelligence. --- Logic design. --- Theory of Computation. --- Applications of Mathematics. --- Mathematical Logic and Formal Languages. --- Artificial Intelligence. --- Logics and Meanings of Programs. --- Programming Languages, Compilers, Interpreters. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Math --- Communication theory --- Communication --- Cybernetics