Justification Logic : Reasoning with Reasons (Cambridge Tracts in Mathematics)

Artemov, Sergei/ Fitting, Melvin

Cambridge University Press（2019/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 268 p.
• 言語 ENG
• 商品コード 9781108424912
• DDC分類 511.3

Full Description

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.

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.