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Bernays-Schönfinkel-Ramsey with Simple Bounds is NEXPTIME-complete

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons101767

Voigt,  Marco
Automation of Logic, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45719

Weidenbach,  Christoph
Automation of Logic, MPI for Informatics, Max Planck Society;

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Volltexte (frei zugänglich)

arXiv:1501.07209.pdf
(Preprint), 366KB

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Zitation

Voigt, M., & Weidenbach, C. (2015). Bernays-Schönfinkel-Ramsey with Simple Bounds is NEXPTIME-complete. Retrieved from http://arxiv.org/abs/1501.07209.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-0024-AA87-2
Zusammenfassung
Linear arithmetic extended with free predicate symbols is undecidable, in general. We show that the restriction of linear arithmetic inequations to simple bounds extended with the Bernays-Sch\"onfinkel-Ramsey free first-order fragment is decidable and NEXPTIME-complete. The result is almost tight because the Bernays-Sch\"onfinkel-Ramsey fragment is undecidable in combination with linear difference inequations, simple additive inequations, quotient inequations and multiplicative inequations.