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  Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving

Sofronie-Stokkermans, V. (2003). Representation Theorems and the Semantics of Non-classical Logics, and Applications to Automated Theorem Proving. In M. Fitting, & E. Orlowska (Eds.), Beyond Two: Theory and Applications of Multiple Valued Logic (pp. 59-100). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2DF4-2 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2DF5-F
Genre: Book Chapter

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 Creators:
Sofronie-Stokkermans, Viorica1, 2, Author           
Fitting, Melvin, Editor
Orlowska, Ewa, Editor
Affiliations:
1Automation of Logic, MPI for Informatics, Max Planck Society, ou_1116545              
2Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We give a uniform presentation of representation and decidability results related to the Kripke-style semantics of several non-classical logics. We show that a general representation theorem (which has as particular instances the representation theorems as algebras of sets for Boolean algebras, distributive lattices and semilattices) extends in a natural way to several classes of operators and allows to establish a relationship between algebraic and Kripke-style models. We illustrate the ideas on several examples. We conclude by showing how the Kripke-style models thus obtained can be used (if first-order axiomatizable) for automated theorem proving by resolution for some non-classical logics.

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Language(s): eng - English
 Dates: 2004-06-172003
 Publication Status: Issued
 Pages: -
 Publishing info: Berlin, Germany : Springer
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 201899
Other: Local-ID: C1256104005ECAFC-F6DA8B3F1A74700FC1256BBC003EC55C-Sofronie-Stokkermans-mvl-2003
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Title: Beyond Two: Theory and Applications of Multiple Valued Logic
Source Genre: Book
 Creator(s):
Fitting, Melvin, Editor
Orlowska, Ewa, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: 114 Sequence Number: - Start / End Page: 59 - 100 Identifier: ISBN: 3-7908-1541-1