Justification logic : reasoning with reasons [E-Book] / Sergei Artemov, Melvin Fitting.
Artemov, S. N., (author)
Fitting, Melvin, (author)
Cambridge : Cambridge University Press, 2019
1 online resource (xxi, 247 pages)
Cambridge tracts in mathematics ; 216
Full Text
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.