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Justification Logic Sergei Artemov

Justification Logic By Sergei Artemov

Justification Logic by Sergei Artemov


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Summary

Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a framework for the reliability of assertions. This book, the first in the area, is a systematic and modern account that will appeal to readers from a variety of disciplines to which the theory applies.

Justification Logic Summary

Justification Logic: Reasoning with Reasons by Sergei Artemov

Classical logic is concerned, loosely, with the behaviour of truths. Epistemic logic similarly is about the behaviour of known or believed truths. Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a logical framework for the reliability of assertions. This book, the first in the area, is a systematic account of the subject, progressing from modal logic through to the establishment of an arithmetic interpretation of intuitionistic logic. The presentation is mathematically rigorous but in a style that will appeal to readers from a wide variety of areas to which the theory applies. These include mathematical logic, artificial intelligence, computer science, philosophical logic and epistemology, linguistics, and game theory.

Justification Logic Reviews

'Good examples, illuminating diagrams, deep insights contribute to making the book most valuable to readers who intend to work in the area, but also to anyone interested in mathematical and philosophical logic in general, as concepts and results are truly fundamental and profound.' Eric Martin, zbMATH

About Sergei Artemov

Sergei Artemov is Distinguished Professor at the City University of New York. He is a specialist in mathematical logic, logic in computer science, control theory, epistemology, and game theory. He is credited with solving long-standing problems in constructive logic that had been left open by Goedel and Kolmogorov since the 1930s. He has pioneered studies in the logic of proofs and justifications that renders a new, evidence-based theory of knowledge and belief. The most recent focus of his interests is epistemic foundations of game theory. Melvin Fitting is Professor Emeritus at the City University of New York. He has written or edited a dozen books, and has worked in intensional logic, semantics for logic programming, theory of truth, and tableau systems for non-classical logics. In 2012 he received the Herbrand Award from the Conference on Automated Deduction. He was on the faculty of the City University of New York from 1969 to his retirement in 2013, at Lehman College, and at the Graduate Center, where he was in the Departments of Mathematics, Computer Science, and Philosophy.

Table of Contents

Introduction: 1. Why justification logic?; 2. The basics of justification logic; 3. The ontology of justifcations; 4. Fitting models; 5. Sequents and tableaus; 6. Realization how it began; 7. Realization generalized; 8. The range of realization; 9. Arithmetical completeness and BHK semantics; 10. Quantifiers in justification logic; 11. Going past modal logic.

Additional information

NPB9781108424912
9781108424912
1108424910
Justification Logic: Reasoning with Reasons by Sergei Artemov
New
Hardback
Cambridge University Press
2019-05-02
268
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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