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Proof in Alonzo Church's and Alan Turing's Mathematical Logic

the entscheidungsproblem or the decision problem were eventually solved though in the negative by Alonzo Church and Alan Turing in their;

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Proof in Alonzo Church's and Alan Turing's Mathematical Logic

the entscheidungsproblem or the decision problem were eventually solved though in the negative by Alonzo Church and Alan Turing in their;

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The Collected Works of Alonzo Church

. (Church coined the term Turing machine in a review.) Church's influential textbook, still in print, defined the field of mathematical logic for a;

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Introduction to Mathematical Logic (PMS-13), Volume 13

proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and;

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Computability

theoretical developments. In the 1930s a series of seminal works published by Alan Turing, Kurt Goedel, Alonzo Church, and others established the;

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Mathematical Logic

incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations;

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Introduction to Metamathematics

was accomplished by the work of Kurt Gade1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of ?ocomputable? . When;

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Turing`s Vision - The Birth of Computer Science

(including those of Alonzo Church), Turing's later work, and the birth of the modern computer. In the paper, On Computable Numbers, with an;

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Lecture Notes in Logic

Alan Turing was an inspirational figure who is now recognised as a genius of modern mathematics. In addition to leading the Allied forces;

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New Computational Paradigms

covering computability in theoretical computer science and mathematical logic, ranging from application of novel approaches to computation to set;

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Mechanical Intelligence

Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;

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Morphogenesis

Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;

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Forcing, Iterated Ultrapowers, And Turing Degrees

This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2010 and 2011 Asian;

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Turing s Revolution

This book provides an overview of the confluence of ideas in Turing's era and work and examines the impact of his work on mathematical;

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Introduction to Mathematical Logic

text also discusses the major results of Goedel, Church, Kleene, Rosser, and Turing. The sixth edition incorporates recent work on Goedel's;

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The Universal Turing Machine

This volume commemorates the work of Alan Turing, because it was Turing who not only introduced the most persuasive and influential concept;

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Turing's Vision

of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer. In the paper, On Computable Numbers;

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Perspectives in Logic

theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer;

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Deduction, Computation, Experiment

a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G odel, Church and Turing, in di?erent;

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The Analytic Tradition in Philosophy, Volume 2

vision, the book describes how the philosophically minded logicians Kurt Godel, Alfred Tarski, Alonzo Church, and Alan Turing discovered the;

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Pure Mathematics

Intelligence, Pure Mathematics, Morphogenesis and Mathematical Logic. Alan Mathison Turing (1912-1954) was a brilliant man who made major contributions;

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Introduction to Discrete Mathematics via Logic and Proof

establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a;

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The Undecidable

Church, Turing, and Post cover unsolvable problems from the theory of abstract computing machines, mathematical logic, and algebra, and material;

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Introduction to Mathematical Logic

systems and the expressive power of formal systems are the unifying themes in mathematical logic. Set theory, recursion theory, proof theory and;

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Three Views of Logic

of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional;

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Logic in Arithmetic

Logic in ArithmeticAn introduction to mathematical logic and Peano Arithmetic, including Gentzen's consistency proof and the Paris;

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Inexhaustibility: A Non-Exhaustive Treatment: Lecture Notes In Logic 16

to which this book is devoted. Basic material in predicate logic, set theory and recursion theory is presented, leading to a proof;

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