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Notes on Parameterized Complexity, Dagstuhl, June 2012.

Notes on Parameterized Complexity, Dagstuhl, June 2012.

Notes on Parameterized Complexity, Dagstuhl, June 2012.

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AW AND PSPACE<br />

◮ Mike in an e-mail of February 27, 1991. Mike says he<br />

noticed this “weird thing”; which was that a certain problem<br />

whose unparameterized versi<strong>on</strong> was in ΣP 2 did not seem to<br />

fit the model we had.<br />

◮ “Maybe the whole hierarchy is some kind of analog of the<br />

polynomial time hierarchy...” “Or maybe there is some kind<br />

of weird combinatorial reducti<strong>on</strong> placing this above the<br />

current hierarchy.”<br />

◮ Developed into the AW-hierarchy.<br />

◮ In case you forgot... ∃ weightk 1x1∀ weightk 2x2 . . . .<br />

◮ Home of k move games.

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