David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on: admissible or permissible inference rules the derivability of the admissible inference rules the structural completeness of logics the bases for admissible and valid inference rules. There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered. The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included. The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.
|Keywords||Logic, Symbolic and mathematical Inference|
|Categories||categorize this paper)|
|Buy the book||$178.57 new (9% off) $178.58 used (9% off) $195.00 direct from Amazon Amazon page|
|Call number||QA9.R986 1997|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Emil Jeřábek (2007). Complexity of Admissible Rules. Archive for Mathematical Logic 46 (2):73-92.
Alberto Naibo & Mattia Petrolo (2015). Are Uniqueness and Deducibility of Identicals the Same? Theoria 81 (2):143-181.
James G. Raftery (2013). Order algebraizable logics. Annals of Pure and Applied Logic 164 (3):251-283.
Rosalie Iemhoff (2016). Consequence Relations and Admissible Rules. Journal of Philosophical Logic 45 (3):327-348.
Josep Maria Font (2013). The Simplest Protoalgebraic Logic. Mathematical Logic Quarterly 59 (6):435-451.
Similar books and articles
Vladimir V. Rybakov (1994). Criteria for Admissibility of Inference Rules. Modal and Intermediate Logics with the Branching Property. Studia Logica 53 (2):203 - 225.
V. V. Rybakov (2005). Logical Consecutions in Discrete Linear Temporal Logic. Journal of Symbolic Logic 70 (4):1137 - 1149.
Vladimir V. Rybakov (1992). Rules of Inference with Parameters for Intuitionistic Logic. Journal of Symbolic Logic 57 (3):912-923.
Valentin Goranko (1998). Axiomatizations with Context Rules of Inference in Modal Logic. Studia Logica 61 (2):179-197.
V. V. Rybakov (1990). Logical Equations and Admissible Rules of Inference with Parameters in Modal Provability Logics. Studia Logica 49 (2):215 - 239.
Ken Akiba (1996). Logic as Instrument: The Millian View on the Role of Logic. History and Philosophy of Logic 17 (1-2):73-83.
Marcus Kracht (1999). Book Review: V. V. Rybakov. Admissibility of Logical Inference Rules. [REVIEW] Notre Dame Journal of Formal Logic 40 (4):578-587.
Phiniki Stouppa (2007). A Deep Inference System for the Modal Logic S. Studia Logica 85 (2):199 - 214.
V. V. Rybakov, M. Terziler & C. Gencer (2000). On Self-Admissible Quasi-Characterizing Inference Rules. Studia Logica 65 (3):417-428.
Added to index2009-01-28
Total downloads27 ( #143,480 of 1,796,218 )
Recent downloads (6 months)1 ( #468,533 of 1,796,218 )
How can I increase my downloads?