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Author, Editor(s)

Author(s):

Basin, David A.
Matthews, Seán
Viganò, Luca

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BibTeX cite key*:

Basin97c

Title

Title*:

Natural Deduction for Non-Classical Logics

Journal

Journal Title*:

Studia Logica

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Language:

English

Publisher

Publisher's
Name:

Kluwer

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Publisher's
Address:


ISSN:

0039-3215

Vol, No, pp, Date

Volume*:

60

Number:

1

Publishing Date:

1998

Pages*:

119-160

Number of
VG Pages:


Page Start:


Page End:


Sequence Number:


DOI:


Note, Abstract, ©

Note:


(LaTeX) Abstract:

We present a framework for machine implementation of families of
non-classical logics with Kripke-style semantics. We decompose a logic
into two interacting parts, each a natural deduction system: a base
logic of labelled formulae, and a theory of labels characterizing the
properties of the Kripke models. By appropriate combinations we
capture both partial and complete fragments of large families of
non-classical logics such as modal, relevance, and intuitionistic
logics. Our approach is modular and supports uniform proofs of
soundness, completeness and proof normalization. We have implemented
our work in the Isabelle Logical Framework.

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Correlation

MPG Unit:

Max-Planck-Institut für Informatik



MPG Subunit:

Programming Logics Group

Audience:

Expert

Appearance:

MPG publications list, university publications list, working group publication list, Fachbeirat


BibTeX Entry:

@ARTICLE{Basin97c,
AUTHOR = {Basin, David A. and Matthews, Se{\'a}n and Vigan{\`o}, Luca},
TITLE = {Natural Deduction for Non-Classical Logics},
JOURNAL = {Studia Logica},
PUBLISHER = {Kluwer},
YEAR = {1998},
NUMBER = {1},
VOLUME = {60},
PAGES = {119--160},
ISBN = {0039-3215},
}


Entry last modified by Anja Becker, 11/29/2010
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Editor(s)
Luca Viganò
Created
04/25/1997 04:21:53 PM
Revisions
9.
8.
7.
6.
5.
Editor(s)
Anja Becker
Christine Kiesel
Uwe Brahm
Uwe Brahm
Uwe Brahm
Edit Dates
29.11.2010 14:17:03
30/03/2000 14:51:27
07.04.99 16:37:25
30.03.99 22:02:16
30.03.99 20:52:50