Methods of Cut-Elimination (Trends in Logic) - ISBN:9400703198

Methods of Cut-Elimination (Trends in Logic)

Date: 13 April 2011, 07:41

Free register and download UseNet downloader, then you can FREE Download from UseNet.

Download without Limit " Methods of Cut-Elimination (Trends in Logic) " from UseNet for FREE!

Product Description:
This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the existence of cut-free proofs, it focuses on the algorithmic methods transforming proofs with arbitrary cuts to proofs with only atomic cuts (atomic cut normal forms, so-called ACNFs). The first part investigates traditional reductive methods from the point of view of proof rewriting. Within this general framework, generalizations of Gentzen's and Sch\”utte-Tait's cut-elimination methods are defined and shown terminating with ACNFs of the original proof. Moreover, a complexity theoretic comparison of Gentzen's and Tait's methods is given.
The core of the book centers around the cut-elimination method CERES (cut elimination by resolution) developed by the authors. CERES is based on the resolution calculus and radically differs from the reductive cut-elimination methods. The book shows that CERES asymptotically outperforms all reductive methods based on Gentzen's cut-reduction rules. It obtains this result by heavy use of subsumption theorems in clause logic. Moreover, several applications of CERES are given (to interpolation, complexity analysis of cut-elimination, generalization of proofs, and to the analysis of real mathematical proofs). Lastly, the book demonstrates that CERES can be extended to nonclassical logics, in particular to finitely-valued logics and to G\"odel logic.

Download Links:

Download Link (High Speed Download)

Download Link 1 (http://www.filesonic.com/...9)

Download Link 2 (http://uploading.com/...9400)

Related Articles:
Logic

DISCLAIMER:

This site does not store Methods of Cut-Elimination (Trends in Logic) on its server. We only index and link to Methods of Cut-Elimination (Trends in Logic) provided by other sites. Please contact the content providers to delete Methods of Cut-Elimination (Trends in Logic) if any and email us, we'll remove relevant links or contents immediately.