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Decidability of the Monadic Shallow Linear First-Order Fragment with Straight Dismatching Constraints

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons127656

Teucke,  Andreas
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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Fulltext (public)

arXiv:1703.02837.pdf
(Preprint), 305KB

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Citation

Teucke, A., & Weidenbach, C. (2017). Decidability of the Monadic Shallow Linear First-Order Fragment with Straight Dismatching Constraints. Retrieved from http://arxiv.org/abs/1703.02837.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002C-A213-1
Abstract
The monadic shallow linear Horn fragment is well-known to be decidable and has many application, e.g., in security protocol analysis, tree automata, or abstraction refinement. It was a long standing open problem how to extend the fragment to the non-Horn case, preserving decidability, that would, e.g., enable to express non-determinism in protocols. We prove decidability of the non-Horn monadic shallow linear fragment via ordered resolution further extended with dismatching constraints and discuss some applications of the new decidable fragment.