Sword Art Online Progressive Novel Volume 4 is written by Reki Kawahara.

It's been just two months since they were trapped in the game of death that is" Sword Art Online," and Kirito and Asuna continue their struggle at the vanguard of progress through the game. The fifth floor of Aincrad is a mazelike ruin, and the two dare to take pleasure in raiding it for the treasure it contains.

Upon returning to the fourth floor, it's time to do some questing on behalf of the Elf Lord Yofilis--but here begins Asuna's discontent, for in doing so they will have to face her least favorite monster ever...

Note: This story is an alternate retelling of Sword Art Online's Aincrad arc from Asuna's point of view.