Justification logic : reasoning with reasons / Sergei Artemov, Graduate Center, City University of New York ; Melvin Fitting, Graduate Center, City University of New York

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

Includes bibliographical references and index

Why justification logic? -- The basics of justification logic -- The ontology of justifications -- Fitting models -- Sequents and tableaus -- Realization: how it began -- Realization: generalized -- The range of realization -- Arithmetical completeness and BHK semantics -- Quantifiers in justification logic -- Going past modal logic

Print version record

WorldCat record variable field(s) change: 650