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Rigid Reachability: The Non-Symmetric Form of Rigid E-unification

MPG-Autoren
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44474

Ganzinger,  Harald
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons44688

Jacquemard,  Florent
Programming Logics, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45662

Veanes,  Margus
Programming Logics, MPI for Informatics, Max Planck Society;

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Zitation

Ganzinger, H., Jacquemard, F., & Veanes, M. (2000). Rigid Reachability: The Non-Symmetric Form of Rigid E-unification. International Journal of Foundations of Computer Science, 11(1), 3-27.


Zitierlink: http://hdl.handle.net/11858/00-001M-0000-000F-3465-0
Zusammenfassung
We show that rigid reachability, the non-symmetric form of rigid E-unification, is already undecidable in the case of a single constraint. From this we infer the undecidability of a new and rather restricted kind of second-order unification. We also show that certain decidable subclasses of the problem which are PTIME-complete in the equational case become EXPTIME-complete when symmetry is absent. By applying automata-theoretic methods, simultaneous monadic rigid reachability with ground rules is shown to be PSPACE-complete. Moreover, we identify two decidable non-monadic fragments that are complete for EXPTIME.