# lim+, δ+, and Non-Permutability of β-Steps

@article{Wirth2012limA, title={lim+, δ+, and Non-Permutability of β-Steps}, author={C. Wirth}, journal={J. Symb. Comput.}, year={2012}, volume={47}, pages={1109-1135} }

Using a human-oriented formal example proof of the lim+-theorem (that the sum of limits is the limit of the sum), we exhibit a non-permutability of @b-steps and @d^+-steps (according to Smullyan's classification), which is not visible with non-liberalized @d-rules and dissolves into a problem of mere inefficiency with further liberalized @d-rules, such as the @d^+^+-rules. Beside a careful presentation of the human-oriented search for a formal proof of (lim+), our main intention is to show… CONTINUE READING

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