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Hello. I am not aware of such results. Concerning reduction orders on simply-typed lambda-terms, you can have a look at the works of Jouannaud and Rubio: http://doi.org/10.1145/1206035.1206037 and http://doi.org/10.1145/2699913. Best regards, Frédéric.
Le 06/01/2019 à 12:54, Ahmed Bhayat a écrit :
[ The Types Forum, http://lists.seas.upenn.edu/mailman/listinfo/types-list ] Dear all, Would welcome information on the following: Does there exist a reduction ordering, total on ground terms of the simply-typed lambda calculus, that is compatible with beta-reduction? That is, does there exist a reduction order ‘>’, total on ground terms of STT, such that for all terms t1 and t2 such that t1 beta-reduces to t2, we have t1 > t2? Alternatively, is there a proof that no such ordering can exist? Failing either of the above, I would be interested in any partial results or possibly relevant results. Thanks Ahmed Bhayat [email protected] PhD candidate at the University of Manchester
