All reports by Author Stefan Grosser:

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TR24-010
| 19th January 2024
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Noah Fleming, Stefan Grosser, Toniann Pitassi, Robert Robere#### Black-Box PPP is not Turing-Closed

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TR22-003
| 4th January 2022
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Noah Fleming, Stefan Grosser, Mika Göös, Robert Robere#### On Semi-Algebraic Proofs and Algorithms

Revisions: 1

Noah Fleming, Stefan Grosser, Toniann Pitassi, Robert Robere

The complexity class PPP contains all total search problems many-one reducible to the PIGEON problem, where we are given a succinct encoding of a function mapping n+1 pigeons to n holes, and must output two pigeons that collide in a hole. PPP is one of the “original five” syntactically-defined subclasses ... more >>>

Noah Fleming, Stefan Grosser, Mika Göös, Robert Robere

We give a new characterization of the Sherali-Adams proof system, showing that there is a degree-$d$ Sherali-Adams refutation of an unsatisfiable CNF formula $C$ if and only if there is an $\varepsilon > 0$ and a degree-$d$ conical junta $J$ such that $viol_C(x) - \varepsilon = J$, where $viol_C(x)$ counts ... more >>>