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Logical Foundations Of Proof Complexity

This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven;

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Logical Foundations of Proof Complexity

This book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven;

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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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Space in Weak Propositional Proof Systems

This book considers logical proof systems from the point of view of their space complexity. After an introduction to propositional proof;

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Space in Weak Propositional Proof Systems

This book considers logical proof systems from the point of view of their space complexity. After an introduction to propositional proof;

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Forcing with Random Variables and Proof Complexity

complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs;

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Bounded Arithmetic, Propositional Logic and Complexity Theory

This book presents an up-to-date, unified treatment of research in bounded arithmetic and complexity of propositional logic, with emphasis;

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Computer Science - Theory and Applications

contains 8 invited lectures. The papers are organized in topical sections on: algorithms; automata; logic and proof complexity; complexity; words;

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Computational Complexity

This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring;

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Computability and Complexity

Computability and complexity theory should be of central concern to practitioners as well as theorists. Unfortunately, however, the field;

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Descriptive Complexity, Canonisation, and Definable Graph St

Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational;

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Perspectives in Logic

and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.;

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Communication Complexity

Communication complexity is the mathematical study of scenarios where several parties need to communicate to achieve a common goal, a;

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Complexity Dichotomies for Counting Problems

Complexity theory aims to understand and classify computational problems, especially decision problems, according to their inherent;

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Computational Complexity and Property Testing: On the Interplay Between Randomness and Computation

This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work;

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Computational Complexity

Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the;

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Theory of Computational Complexity

Praise for the First Edition ...complete, up-to-date coverage of computational complexity theory...the book promises to become the;

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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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Computer Mathematics

, recursive functions, introduction to complexity, theory of finite models and applications, approximate verification and complexity, working on;

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Defense Resource Planning Under Uncertainty

challenge. RDM is quantitative, decision support methodology designed to inform decisions under conditions of deep uncertainty and complexity. This;

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Foundations of Software Science and Computation Structures

; logical aspects of computational complexity; and type theory, proof theory and implicit computational complexity. The book also contains one full;

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Understanding Proof

Proof is central to any mathematics curriculum and indeed, all mathematical thinking. Now we are del;...

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Cognition and Intractability

in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book;

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Computer Science - Theory and Applications

broad range of topics, such as: algorithms and data structures; computational complexity, including hardness of approximation and parameterized;

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Cognition and Intractability

in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book;

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Computer Science - Theory and Applications

complexity; cryptography; combinatorics in computer science; formal languages and automata; algorithms for concurrent and distributed systems;

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