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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on;

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Methods of Cut-Elimination

mathematical proofs). Lastly, the book demonstrates that CERES can be extended to nonclassical logics, in particular to finitely-valued logics and to G;

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Bounded Arithmetic, Propositional Logic and Complexity Theory

on independence proofs and lower bound proofs. The author discusses the deep connections between logic and complexity theory and lists a;

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Quantification in Nonclassical Logic

of nonclassical logics were investigated and applied to Computer Science. Although there exist several good books in propositional modal;

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Classical and Nonclassical Logics

of reasoning in everyday thought. Consequently, when presented by itself--as in most introductory texts on logic--it seems arbitrary and unnatural to;

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Mathematical Intuitionism

in intuitionistic logic and to acquaint the reader with the principal axiomatic theories based on intuitionistic logic. The exposition, accessible to a wide;

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Proof Theory and Algebra in Logic

and substructural logics, together with their algebraic semantics, the book also provides an introduction to nonclassical logic for;

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A Short Introduction to Intuitionistic Logic

. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced;

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A Short Introduction to Intuitionistic Logic

. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced;

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Handbook of Mathematical Fuzzy Logic. Volume 1

of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, fi nally, an algebraic study;

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Handbook of Mathematical Fuzzy Logic. Volume 2

of an abstract algebraic framework for MFL, chapters on proof theory and algebraic semantics of fuzzy logics, and, finally, an algebraic study;

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From Logic to Logic Programming

theorems and lemmas in the proof theory of logic programming. Advanced topics such as recursive complexity and negation as failure and its;

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Proof Complexity

Proof complexity is a rich subject drawing on methods from logic, combinatorics, algebra and computer science. This self-contained book;

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Discrete Mathematics

Discrete Mathematics , a textbook covers mathematical logic, algebraic structures, graphs, recursion, recurrence relations, formal;

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Introduction to Algebraic Geometry

presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences;

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Three Views of Logic

of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the;

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Computational Complexity

computation, lower bounds for concrete computational models (decision trees, communication complexity, constant depth, algebraic and monotone circuits;

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Lectures on Algebraic Quantum Groups

coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are;

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Introduction to Discrete Mathematics via Logic and Proof

escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto;

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Developments in Language Theory

; decision problems; relationships to complexity theory and logic; picture description and analysis, polyominoes and bidimensional patterns;

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Homology Theory on Algebraic Varieties

given here were first formulated by Lefschetz and have since turned out to be of fundamental importance in the topological aspects of algebraic;

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Completeness and Reduction in Algebraic Complexity Theory

This is a thorough and comprehensive treatment of the theory of NP-completeness in the framework of algebraic complexity theory. Coverage;

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Mathematical Logic In Asia - Proceedings Of The 9th Asian Logic Conference

of model theory and multiple-valued logics, interval fuzzy algebraic systems, the problems of information exchange among agents on the base;

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Mathematics Of Logic

completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model;

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The Mathematics of Logic

completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model;

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Modal Logic

-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on;

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Abstract Algebraic Logic. An Introductory Textbook

of any (mainly sentential) logic in a systematic way. This book is an introductory textbook on abstract algebraic logic, and takes a bottom-up;

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