liu.seSearch for publications in DiVA
ReferencesLink to record
Permanent link

Direct link
On the Correspondence between Modal and Classical Logic : An Automated Approach
1993 (English)In: Journal of logic and computation (Print), ISSN 0955-792X, E-ISSN 1465-363X, Vol. 3, no 6, 605-620Article in journal (Refereed) Published
Abstract [en]

The current paper is devoted to automated techniques in the correspondence theory. The theory we deal with concerns the problem of finding classical first-order axioms corresponding to propositional modal schemas. Given a modal schema and a semantics base  method of translating propositional modal formulae into classical first-order ones, we try to derive automatically classica first-order formulae characterizing precisely the class of frames validating the schema. The technique we consider can, in many cases, be easily applied even without computer support. Although we mainly concentrate on Kripke semantics, the technique we apply is much more general, as it is based on elimination of second-order quantifiers from formulae. We show many examples of application of the method. These can also serve as new, automated proofs of considered correspondences.                 

Keyword [en]
Automated theorem proving, correspondence axioms, modal logics, semantics-based translation
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-74977 (URN)10.1093/logcom/3.6.605 (DOI)oai:DiVA.org:liu-74977 (OAI)diva2:499797 (DiVA)
Available from2012-02-13 Created:2012-02-13 Last updated:2012-02-22

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Szalas, Andrzej
By organisation
University of Warsaw
In the same journal
Journal of logic and computation (Print)
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 12 hits
ReferencesLink to record
Permanent link

Direct link