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Author, Editor

Author(s):

Horbach, Matthias
Weidenbach, Christoph

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Editor(s):





BibTeX Citekey*:

Horbach2009TR2

Language:

English

Title, Institution

Title*:

Superposition for Fixed Domains

Institution*:

Max-Planck-Institut für Informatik

Publishers or Institutions Address*:

Saarbrücken

Type:

Research Report

No, Year, pp.,

Number*:

MPI-I-2009-RG1-005

Pages*:

49

Month:

October

VG Wort
Pages*:


Year*:

2009

ISBN/ISSN:

0946-011X





DOI:




Note, Abstract, ©

Note:


(LaTeX) Abstract:

Superposition is an established decision procedure for a variety of first-order logic theories represented by sets of clauses. A satisfiable theory, saturated by superposition, implicitly defines a minimal term-generated model for the theory.
Proving universal properties with respect to a saturated theory directly leads to a modification of the minimal model's term-generated domain, as new Skolem functions are introduced. For many applications, this is not desired.

Therefore, we propose the first superposition calculus that can explicitly represent existentially quantified variables and can thus compute with respect to a given domain. This calculus is sound and refutationally complete in the limit for a first-order fixed domain semantics.
For saturated Horn theories and classes of positive formulas, we can even employ the calculus to prove properties of the minimal model itself, going beyond the scope of known superposition-based approaches.

Categories / Keywords:

Automated Theorem Proving, Fixed Domain Semantics, Inductionless Induction, Minimal Model Semantics, Proof by Consistency, Superposition

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Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Automation of Logic

Appearance:

MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort


BibTeX Entry:
@TECHREPORT{Horbach2009TR2,
AUTHOR = {Horbach, Matthias and Weidenbach, Christoph},
TITLE = {Superposition for Fixed Domains},
YEAR = {2009},
TYPE = {Research Report},
INSTITUTION = {Max-Planck-Institut für Informatik},
NUMBER = {MPI-I-2009-RG1-005},
PAGES = {49},
ADDRESS = {Saarbr{\"u}cken},
MONTH = {October},
ISBN = {0946-011X},
}


Entry last modified by Anja Becker, 03/25/2010
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Created
01/18/2010 08:25:53 AM
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Editor
Anja Becker
Matthias Horbach


Edit Date
25.03.2010 11:46:33
18.01.2010 08:25:53


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