Admissibility of Logical Inference Rules
Elsevier (1997)
| Abstract | 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 | ||||||||||
| Buy the book | $135.57 used (26% off) $163.87 new (10% off) $172.90 direct from Amazon (5% off) Amazon page | |||||||||
| Call number | QA9.R986 1997 | |||||||||
| ISBN(s) | 0444895051 9780444895059 | |||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,865 |
| External links |
|
| Through your library | Configure |
Vladimir V. Rybakov (1994). Criteria for Admissibility of Inference Rules. Modal and Intermediate Logics with the Branching Property. Studia Logica 53 (2):203 - 225.
Phiniki Stouppa (2007). A Deep Inference System for the Modal Logic S. Studia Logica 85 (2):199 - 214.
Marcus Kracht (1999). Book Review: V. V. Rybakov. Admissibility of Logical Inference Rules. [REVIEW] Notre Dame Journal of Formal Logic 40 (4):578-587.
Ken Akiba (1996). Logic as Instrument: The Millian View on the Role of Logic. History and Philosophy of Logic 17 (1-2):73-83.
V. V. Rybakov (1990). Logical Equations and Admissible Rules of Inference with Parameters in Modal Provability Logics. Studia Logica 49 (2):215 - 239.
Valentin Goranko (1998). Axiomatizations with Context Rules of Inference in Modal Logic. Studia Logica 61 (2):179-197.
Vladimir V. Rybakov (1992). Rules of Inference with Parameters for Intuitionistic Logic. Journal of Symbolic Logic 57 (3):912-923.
V. V. Rybakov (2005). Logical Consecutions in Discrete Linear Temporal Logic. Journal of Symbolic Logic 70 (4):1137 - 1149.
V. V. Rybakov, M. Terziler & C. Gencer (2000). On Self-Admissible Quasi-Characterizing Inference Rules. Studia Logica 65 (3):417-428.
Monthly downloads |
Added to index2009-01-28Total downloads19 ( #65,278 of 556,803 )Recent downloads (6 months)3 ( #27,255 of 556,803 )How can I increase my downloads? |

