193932

Springer, Dordrecht

2006

348 Pages

ISBN 978-0-387-28688-4

International Mathematical Series
vol. 4

Mathematical problems from applied logic I

logics for the XXIst century

Edited by

Dov M. Gabbay , Sergei Goncharov, Michael Zakharyaschev

Mathematical Problems from Applied Logic I presents chapters from selected, world renowned, logicians. Important topics of logic are discussed from the point of view of their further development in light of requirements arising from their successful application in areas such as Computer Science and AI language. An overview of the current state as well as open problems and perspectives are clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The bookcontains interesting contributions concerning the role of logic today, including some unexpected aspects of contemporary logic and the application of logic. This should be of interest to logicians and mathematicians in general.

Contributors include: Franz Baader (Germany) and Ralf Küsters (Germany), Lev Beklemishev (The Netherlands/Russia) and Albert Visser (The Netherlands), Johan van Benthem (The Netherlands/USA), S Barry Cooper (UK), John N Crossley (Australia), Wilfrid A Hodges (UK), and Lawrence S Moss (USA).

Publication details

Full citation:

Gabbay, D. M. , Goncharov, S. , Zakharyaschev, M. (eds) (2006). Mathematical problems from applied logic I: logics for the XXIst century, Springer, Dordrecht.

Table of Contents

Nonstandard inferences in description logics

Baader Franz; Küsters Ralf

1-75

Open Access Link
Problems in the logic of provability

Beklemishev Lev; Visser Albert

77-136

Open Access Link
Open problems in logical dynamics

van Benthem Johan

137-192

Open Access Link
Computability and emergence

Cooper S. Barry

193-231

Open Access Link
Samsara

Crossley John N.

233-276

Open Access Link
Two doors to open

Hodges Wilfrid

277-316

Open Access Link
Applied logic

Moss Lawrence S.

317-343

Open Access Link

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