The Complexity of Analytic Tableaux

Journal of Symbolic Logic 71 (3):777 - 790 (2006)
Abstract
The method of analytic tableaux is employed in many introductory texts and has also been used quite extensively as a basis for automated theorem proving. In this paper, we discuss the complexity of the system as a method for refuting contradictory sets of clauses, and resolve several open questions. We discuss the three forms of analytic tableaux: clausal tableaux, generalized clausal tableaux, and binary tableaux. We resolve the relative complexity of these three forms of tableaux proofs and also resolve the relative complexity of analytic tableaux versus resolution. We show that there is a quasi-polynomial simulation of tree resolution by analytic tableaux; this simulation is close to optimal, since we give a matching lower bound that is tight to within a polynomial
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 12,068
External links
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

No citations found.

Similar books and articles
Carlo Cellucci (2000). Analytic Cut Trees. Logic Journal of the Igpl 8:733-750.
Marcello D'Agostino (1992). Are Tableaux an Improvement on Truth-Tables? Journal of Logic, Language and Information 1 (3):235-252.
Carlos A. OLLER (1999). Paraconsistency and Analyticity. Logic and Logical Philosophy 7 (1):91-99.
Luis Fariñas del Cerro & Olivier Gasquet (2006). Modal Tableaux for Reasoning About Diagrams. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):169-184.
Analytics

Monthly downloads

Added to index

2010-08-24

Total downloads

5 ( #237,418 of 1,101,814 )

Recent downloads (6 months)

1 ( #306,516 of 1,101,814 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.