Termination Proofs for Higher-order Rewrite Systems

@inproceedings{Pol1993TerminationPF,
  title={Termination Proofs for Higher-order Rewrite Systems},
  author={Jaco van de Pol},
  booktitle={HOA},
  year={1993}
}
This paper deals with termination proofs for Higher-Order Rewrite Systems (HRSs), introduced in [12]. This formalism combines the computational aspects of term rewriting and simply typed lambda calculus. The result is a proof technique for the termination of a HRS, similar to the proof technique “Termination by interpretation in a well-founded monotone algebra”, described in [8, 19]. The resulting technique is as follows: Choose a higher-order algebra with operations for each function symbol in… 

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