Justification logic : reasoning with reasons / Sergei Artemov (Graduate Center, City University of New York), Melvin Fitting (Graduate Center, City University of New York).
- Cambridge ; New York, NY : Cambridge University Press, 2019.
- Cambridge tracts in mathematics; 216.
Cambridge tracts in mathematics ; 216
xxi, 247 pages : illustrations ; 24 cm.
- Logic, Symbolic and mathematical.
Inquiry (Theory of knowledge).
Science -- Theory reduction.
- Classical logic is concerned, loosely, with the behavior of truths. Epistemic logic similarly is about the behavior 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.
- Why justification logic?
The basics of justification logic
The ontology of justifications
Sequents and tableaus
Realization-how it began
The range of realization
Arithmetical completeness and BHK semantics
Quantifiers in justification logic
Going past modal logic.
- Includes bibliographical references (pages 234-243) and index.
- Fitting, Melvin, 1942- author.
- Other format:
- ebook version :
|Location||Notes||Your Loan Policy|
|Description||Status||Barcode||Your Loan Policy|