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- Path: sparky!uunet!ukma!usenet.ins.cwru.edu!agate!darkstar.UCSC.EDU!golding
- From: jean@cse.ucsc.edu (Jean McKnight)
- Newsgroups: comp.doc.techreports
- Subject: UCSC TR: Evidence for a Satisfiability Threshold for Random 3CNF Formulas
- Date: 7 Nov 1992 00:40:53 GMT
- Organization: University of California, Santa Cruz (CE/CIS Boards)
- Lines: 55
- Approved: compdoc-techreports@ftp.cse.ucsc.edu
- Message-ID: <1dfb6tINNrk5@darkstar.UCSC.EDU>
- NNTP-Posting-Host: oak.ucsc.edu
- Keywords: backtracking, logic, reasoning, satisfiability, threshold behavior.
- Originator: golding@oak
-
- University of California at Santa Cruz
- Baskin Center for Computer Engineering and Information Sciences
-
- The following technical report is available electronically or as
- a paper copy. Instructions for getting either follow the abstract.
-
-
- UCSC-CRL-92-42 (available electronically, as ucsc-crl-92-42.ps.Z)
- EVIDENCE FOR A SATISFIABILITY THRESHOLD FOR RANDOM 3CNF FORMULAS
- Tracy Larrabee and Yumi Tsuji
- November 1992, 9 pages (paper copy $5.00)
-
- Abstract: This paper presents empirical evidence of a satisfiability
- threshold in random 3CNF formulas. The paper also expands on and supports
- the conjecture of Mitchell, Selman, and Levesque that *hard* randomly
- generated CNF formulas will be hard for any reasonable satisfiability
- algorithm. We report statistics for a much larger set of variables than
- have been previously reported; in particular, we show that for each clause
- to variable ratio less than 4.2, the percentage of satisfiable formulas
- increases, and for each clause to variable ratio greater than 4.2, the
- percentage of satisfiable formulas decreases as a function of number of
- variables. We found that several algorithms behaved qualitatively in the
- same fashion. We report on the relative performance of each algorithm.
- Keywords: backtracking, logic, reasoning, satisfiability, threshold behavior.
-
-
- This technical report is available electronically through either
- of the following methods:
- 1. through anonymous ftp from ftp.cse.ucsc.edu, in /pub/tr. Log in
- as "anonymous", use your email address as your password, specify
- "binary" before getting the file. Uncompress before printing.
- 2. by mail to automatic mail server rnalib@ftp.cse.ucsc.edu.
- Put this command on the subject line or in the body of the message:
- @@ send ucsc-crl-92-42.ps.Z from tr
- To get the index or abstract list:
- @@ send INDEX from tr
- @@ send ABSTRACTS.1992 from tr
- To get the list of the tr directory:
- @@ list tr
- To get the list of commands and their syntax:
- @@ help commands
-
- Order paper copies from: Technical Library, Baskin Center for Computer
- Engineering & Information Sciences, UCSC, Santa Cruz CA 95064.
- Purchase orders are not accepted. Checks or money orders must be
- for U.S. dollars, payable through a U.S. bank, and made out to
- "UC Regents".
-
- Questions: jean@cse.ucsc.edu
-
- ===========================================================================
- Co-moderator: Richard Golding, Computer & Information Sciences, UC Santa Cruz
- compdoc-techreports-request@ftp.cse.ucsc.edu
-
-
-