Bi-Rewrite Systems

@article{Levy1996BiRewriteS,
  title={Bi-Rewrite Systems},
  author={Jordi Levy and Jaume Agust{\'i}-Cullell},
  journal={J. Symb. Comput.},
  year={1996},
  volume={22},
  pages={279-314}
}
In this article we propose an extension of term rewriting techniques to automate the deduction in monotone pre-order theories. To prove an inclusionabfrom a given setIof them, we generate fromI, using a completion procedure, abi-rewrite system, that is, a pair of rewrite relations and , and seek a common termcsuch thatacandbc. Each component of the bi-rewrite system and is allowed to be a subset of the corresponding inclusion relation or defined by the theory ofI. In order to assure the… 

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