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Rigid reachability

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

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

/persons/resource/persons45662

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

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Fulltext (public)

MPI-I-98-2-013.pdf
(Any fulltext), 232KB

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Citation

Ganzinger, H., Jacquemard, F., & Veanes, M.(1998). Rigid reachability (MPI-I-1998-2-013). Saarbrücken: Max-Planck-Institut für Informatik.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-768F-9
Abstract
We show that rigid reachability, the non-symmetric form of rigid E-unification, is undecidable already in the case of a single constraint. From this we infer the undecidability of a new 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 in EXPTIME.