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| | NP on Logarithmic SpaceEasyChair Preprint 9555, version history|  |  | Version | Date | Pages | Version notes | 
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 | 1 | January 8, 2023 | 8 |  |  | 2 | January 9, 2023 | 8 | We changed a definition in the section "The Problems". |  | 3 | January 9, 2023 | 8 | We guarantee the constraint that the independent set is "exactly" of size K |  | 4 | January 10, 2023 | 8 | We fixed some small details before the paper would be considered for peer-review. |  | 5 | January 15, 2023 | 8 | We used an undirected graph on the independent set problem. |  | 6 | March 5, 2023 | 8 | We improved the definition of problem TAGAP acordding to the reference paper. |  | 7 | April 30, 2023 | 7 |  |  | 8 | May 15, 2023 | 7 | We removed redundant content. |  | 9 | July 21, 2023 | 8 | We changed the abstract and created the Conclusions section |  | 10 | July 25, 2023 | 8 | We recover another variant of a possible proof of P = NP. |  | 11 | July 30, 2023 | 10 | We changed abstract, keywords and content. |  | 12 | August 3, 2023 | 7 | We change the problems but the result is the almost the same. |  | 13 | August 6, 2023 | 7 | During a short talk about the paper, a mistaken detail was detected in the definition of the problem SUBSET PRODUCT (SP). |  | 14 | August 15, 2023 | 7 |  |  | 15 | August 15, 2023 | 7 | We improved the last proof. |  | 16 | August 16, 2023 | 7 | We explain better the composition of logarithmic reduction. |  | 17 | August 17, 2023 | 7 | We improved some details. |  | 18 | August 21, 2023 | 7 | We replace "We can done" by "We can do" on page 5 |  | 19 | August 27, 2023 | 6 |  |  | 20 | August 30, 2023 | 6 | Last update at MICOPAM 2023 conference |  | 21 | November 3, 2023 | 6 | Corrigendum to the Final Version for the Proceedings Book of MICOPAM 2023 | 
Keyphrases: completeness, complexity classes, logarithmic space, polynomial time, reduction | 
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