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Author, Editor(s)

Author(s):

Ganzinger, Harald
Sofronie-Stokkermans, Viorica
Waldmann, Uwe

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BibTeX cite key*:

GSW-i-and-c

Title

Title*:

Modular Proof Systems for Partial Functions with Evans Equality

Journal

Journal Title*:

Information and Computation

Journal's URL:

http://theory.lcs.mit.edu/~iandc/

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Language:

English

Publisher

Publisher's
Name:

Elsevier

Publisher's URL:

http://www.elsevier.com/

Publisher's
Address:


ISSN:

0890-5401

Vol, No, pp, Date

Volume*:

204

Number:

10

Publishing Date:

October 2006

Pages*:

1453-1492

Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

The paper presents a modular superposition calculus for the
combination of first-order theories involving both total
and partial functions. Modularity means that inferences are
pure, only involving clauses over the alphabet of either
one, but not both, of the theories. The calculus is shown
to be complete provided that functions that are not in the
intersection of the component signatures are declared as
partial. This result also means that if the
unsatisfiability of a goal modulo the combined theory does
not depend on the totality of the functions in the
extensions, the inconsistency will be effectively found.
Moreover, we consider a constraint superposition calculus
for the case of hierarchical theories and show that it has
a related modularity property. Finally we identify cases
where the partial models can always be made total so that
modular superposition is also complete with respect to the
standard (total function) semantics of the theories.

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Keywords:


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Access Level:

Intranet

Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Programming Logics Group

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BibTeX Entry:

@ARTICLE{GSW-i-and-c,
AUTHOR = {Ganzinger, Harald and Sofronie-Stokkermans, Viorica and Waldmann, Uwe},
TITLE = {Modular Proof Systems for Partial Functions with {Evans} Equality},
JOURNAL = {Information and Computation},
PUBLISHER = {Elsevier},
YEAR = {2006},
NUMBER = {10},
VOLUME = {204},
PAGES = {1453--1492},
MONTH = {October},
ISBN = {0890-5401},
}


Entry last modified by Christine Kiesel, 03/06/2007
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Editor(s)
Viorica Sofronie-Stokkermans
Created
11/07/2006 11:46:09 AM
Revisions
5.
4.
3.
2.
1.
Editor(s)
Christine Kiesel
Uwe Waldmann
Uwe Waldmann
Viorica Sofronie-Stokkermans
Viorica Sofronie-Stokkermans
Edit Dates
06.03.2007 14:35:30
26.10.2006 21:55:41
26.10.2006 21:55:17
09/22/2006 03:23:08 PM
08/01/2006 01:51:02 PM