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Logic Journal of IGPL Advance Access originally published online on March 13, 2008
Logic Journal of IGPL 2008 16(3):249-267; doi:10.1093/jigpal/jzn004
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

Independent Bases of Admissible Rules

Emil Jerábek *

Institute of Mathematics of the Academy of Sciences zitná 25, 115 67 Praha 1, Czech Republic. E-mail: jerabek{at}math.cas.cz


  Abstract

We show that IPC, K4, GL, and S4, as well as all logics inheriting their admissible rules, have independent bases of admissible rules.

Key Words: admissible rule • independent basis • modal logic • intuitionistic logic • MSC (2000): 03B45 • 03B55 • 08C15

Received for publication 18 January 2008.

*The research was done while the author was visiting the Department of Computer Science of the University of Toronto. Supported by grant IAA1019401 of GA AV CR, grant 1M0545 of MSMT CR, and NSERC Canada Discovery grant.


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