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This monograph is based on a series of lectures given by the author at the first Advanced Research Institute on Discrete Applied Mathematics, held at Rutgers University. It emphasizes connections between the representational aspects of mixed integer programming and applied logic, as well as discussing logic-based approaches to decision support which help to create more `intelligent' systems. Dividing naturally into two parts, the first four chapters are an overview of mixed-integer programming representability techniques. This is followed by five chapters on applied logic, expert syste

Mathematical logic --- Organization theory --- Decision making --- Decision support systems. --- Logic, Symbolic and mathematical. --- Mathematical models. --- Decision support systems --- Logic, Symbolic and mathematical --- Mathematical models

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Mathematical logic --- Mathematics --- Logic, Symbolic and mathematical --- Physical Sciences & Mathematics --- Mathematical Theory --- Congresses

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Logic, Methodology and Philosophy of Science VII

Science --- Mathematical logic --- Logic, Symbolic and mathematical --- Philosophy --- Methodology --- Logique mathématique --- Philosophie des sciences

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The congruences of a lattice form the congruence lattice. Over the last several decades, the study of congruence lattices has established itself as a large and important field with a great number of interesting and deep results, as well as many open problems. Written by one of the leading experts in lattice theory, this text provides a self-contained introduction to congruences of finite lattices and presents the major results of the last 90 years. It features the author’s signature “Proof-by-Picture” method, which is used to convey the ideas behind formal proofs in a visual, more intuitive manner. Key features include: an insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions complete proofs, an extensive bibliography and index, and over 180 illustrations additional chapters covering new results of the last seven years, increasing the size of this edition to 430 pages, 360 statements, and 262 references This text is appropriate for a one-semester graduate course in lattice theory, and it will also serve as a valuable reference for researchers studying lattices. Reviews of previous editions: “[This] monograph…is an exceptional work in lattice theory, like all the contributions by this author. The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. — Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica LII (1), 2007 "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more 'geometric' aspects." — Mathematical Reviews.

Group theory --- Ordered algebraic structures --- Algebra --- Geometry --- Discrete mathematics --- Geology. Earth sciences --- algebra --- discrete wiskunde --- wiskunde --- geofysica --- geometrie --- Logic, Symbolic and mathematical. --- Logic, Symbolic and mathematical --- Teoria dels reticles --- Àlgebra --- Estructures algebraiques ordenades --- Lògica matemàtica --- Graphic methods.

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Originally published in 1989, this book offers a comprehensive overview of the work of scholars in several different disciplines contributing to the development of the psychology of science: the systematic elaboration and application of psychological concepts and methods to clarify the nature of the scientific enterprise. The psychology of science of course overlaps in important ways with the philosophy, history, and sociology of science, but its predominant and distinctive focus is on individuals and small groups employing concepts elucidated via experimental methods.

Philosophy of science --- Science --- Methodology. --- Philosophy. --- Psychological aspects. --- Health Sciences --- Psychiatry & Psychology --- Scientific method --- Logic, Symbolic and mathematical --- Normal science