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  Set constraints are the Monadic class

Ganzinger, H., Bachmair, L., & Waldmann, U.(1992). Set constraints are the Monadic class (MPI-I-92-240). Saarbrücken: Max-Planck-Institut für Informatik.

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MPI-I-92-240.pdf (Any fulltext), 122KB
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Ganzinger, Harald1, Author           
Bachmair, Leo1, Author           
Waldmann, Uwe1, Author           
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1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We investigate the relationship between set constraints and the monadic class of first-order formulas and show that set constraints are essentially equivalent to the monadic class. From this equivalence we can infer that the satisfiability problem for set constraints is complete for NEXPTIME. More precisely, we prove that this problem has a lower bound of ${\rm NTIME}(c^{n/\log n})$. The relationship between set constraints and the monadic class also gives us decidability and complexity results for certain practically useful extensions of set constraints, in particular ``negative projections'' and subterm equality tests.

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Language(s): eng - English
 Dates: 1992
 Publication Status: Issued
 Pages: 13 p.
 Publishing info: Saarbrücken : Max-Planck-Institut für Informatik
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 Identifiers: Report Nr.: MPI-I-92-240
BibTex Citekey: GanzingerBachmairWaldmann92
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Title: Research Report / Max-Planck-Institut für Informatik
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