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Decidable cases of first-order temporal logic with functions

journal contribution
posted on 2008-04-08, 07:54 authored by Walter HussakWalter Hussak
We consider the decision problem for cases of first-order temporal logic with function symbols and without equality. The monadic monodic fragment with flexible functions can be decided with EXPSPACE-complete complexity. A single rigid function is sufficient to make the logic not recursively enumerable. However, the monadic monodic fragment with rigid functions, where no two distinct terms have variables bound by the same quantifier, is decidable and EXPSPACE-complete.

History

School

  • Science

Department

  • Computer Science

Citation

HUSSAK, W., 2008. Decidable cases of first-order temporal logic with functions. Studia Logica, 88 (2), pp. 247-261

Publication date

2008

Notes

This article is Restricted Access. The definitive version is available at: http://www.springerlink.com/content/0039-3215

ISSN

0039-3215;1572-8730

Language

  • en