Abstract
We present a transformation technique called freezing to facilitate automatic termination proofs for left-linear term rewriting systems. The significant merits of this technique lie in its simplicity, its amenability to automation and its effectiveness, especially, when combined with other well-known methods such as recursive path orderings and polynomial interpretations. We prove that applying the freezing technique to a left-linear term rewriting system always terminates. We also show that many interesting TRSs in the literature can be handled with the help of freezing while they elude a lot of other approaches aiming for generating termination proofs automatically for term rewriting systems. We have mechanically verified all the left-linear examples presented in this paper.
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