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SCAN is complete for all Sahlqvist formulae

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44660

Hustadt,  Ullrich
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45401

Schmidt,  Renate A.
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45565

Struth,  Georg
Programming Logics, MPI for Informatics, Max Planck Society;

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Zitation

Goranko, V., Hustadt, U., Schmidt, R. A., & Vakarelov, D. (2004). SCAN is complete for all Sahlqvist formulae. In Relational and Kleene-Algebraic Methods in Computer Science: 7th International Seminar on Relational Methods in Computer Science and 2nd International Workshop on Applications of Kleene Algebra (pp. 149-162). Berlin, Germany: Springer.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-2B32-6
Zusammenfassung
SCAN is an algorithm for reducing monadic existential second-order logic formulae to equivalent simpler formulae, often first-order logic formulae. It is provably impossible for such a reduction to first-order logic to be always successful, even if there is an equivalent first-order formula for a second-order logic formula. In this paper we show that SCAN successfully computes the first-order equivalents of all Sahlqvist formulae in the classical (multi-)modal language.