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Justification Logic

Autor Sergei Artemov, Melvin Fitting
en Limba Engleză Hardback – 26 apr 2019
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.
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Specificații

ISBN-13: 9781108424912
ISBN-10: 1108424910
Pagini: 270
Ilustrații: 1 b/w illus.
Dimensiuni: 157 x 235 x 21 mm
Greutate: 0.59 kg
Editura: Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.