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Labelled Non-Classical Logics (Hardcover, 2000 ed.)
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Labelled Non-Classical Logics (Hardcover, 2000 ed.)
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I am very happy to have this opportunity to introduce Luca Vigano's
book on Labelled Non-Classical Logics. I put forward the
methodology of labelled deductive systems to the participants of
Logic Colloquium'90 (Labelled Deductive systems, a Position Paper,
In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90,
Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin,
1993), in an attempt to bring labelling as a recognised and
significant component of our logic culture. It was a response to
earlier isolated uses of labels by various distinguished authors,
as a means to achieve local proof theoretic goals. Labelling was
used in many different areas such as resource labelling in
relevance logics, prefix tableaux in modal logics, annotated logic
programs in logic programming, proof tracing in truth maintenance
systems, and various side annotations in higher-order proof theory,
arithmetic and analysis. This widespread local use of labels was an
indication of an underlying logical pattern, namely the
simultaneous side-by-side manipulation of several kinds of logical
information. It was clear that there was a need to establish the
labelled deductive systems methodology. Modal logic is one major
area where labelling can be developed quickly and sys tematically
with a view of demonstrating its power and significant advantage.
In modal logic the labels can play a double role."
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