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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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SCImago Journal Rank (SJR) 2016: 0.207
Source Normalized Impact per Paper (SNIP) 2016: 0.315

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Volume 24, Issue 2


On Multiset Ordering

Grzegorz Bancerek
Published Online: 2016-12-08 | DOI: https://doi.org/10.1515/forma-2016-0008


Formalization of a part of [11]. Unfortunately, not all is possible to be formalized. Namely, in the paper there is a mistake in the proof of Lemma 3. It states that there exists xM1 such that M1(x) > N1(x) and (∀yN1)xy. It should be M1(x) ⩾ N1(x). Nevertheless we do not know whether xN1 or not and cannot prove the contradiction. In the article we referred to [8], [9] and [10].

Keywords: ordering; Dershowitz-Manna ordering

MSC 2010: 06F05; 03B35


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About the article

Received: 2015-12-31

Published Online: 2016-12-08

Published in Print: 2016-06-01

Citation Information: Formalized Mathematics, Volume 24, Issue 2, Pages 95–106, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.1515/forma-2016-0008.

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© 2016 Grzegorz Bancerek, published by De Gruyter Open. This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. BY-SA 3.0

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