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A Polynomial Translation from the Two-Variable Guarded Fragment with Number Restrictions to the Guarded Fragment

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44749

Kazakov,  Yevgeny
Programming Logics, MPI for Informatics, Max Planck Society;

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Zitation

Kazakov, Y. (2004). A Polynomial Translation from the Two-Variable Guarded Fragment with Number Restrictions to the Guarded Fragment. In Logics in artificial intelligence: 9th European Conference, JELIA 2004 (pp. 372-384). Berlin, Germany: Springer.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-2A28-6
Zusammenfassung
We consider a two-variable guarded fragment with number restrictions for binary relations and give a satisfiability preserving transformation of formulas in this fragment to the three-variable guarded fragment. The translation can be computed in polynomial time and produces a formula that is linear in the size of the initial formula even for the binary coding of number restrictions. This allows one to reduce reasoning problems for many description logics to the satisfiability problem for the guarded fragment.