Justification Logic Reasoning with Reasons Cambridge Tracts in Mathematics 1st Edition by Sergei Artemov, Melvin Fitting ISBN 9781108424912 1108424910

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Product details:

ISBN 10: 1108424910

ISBN 13:  9781108424912

Author:  Sergei Artemov, Melvin Fitting

 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.

Table of contents: 

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.

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Tags: Sergei Artemov, Melvin Fitting, Justification Logic, Reasoning, Reasons Cambridge, Tracts, Mathematics