Lifting to regular resolution over parities via games
The propositional proof system resolution over parities (Res( )) combines resolution and the linear algebra over GF(2). It is a challenging open question to prove a superpolynomial lower bound on the proof size in this system.
Aug 27, 2024
Aug 27, 2024 · Proving lower bound on resolution depth is relatively easy; so this lifting theorem gives us a relatively easy way to prove tree-like Res(⊕) ...
Two distinct proofs of an exponential separation between regular resolution and unrestricted resolution are given. The previous best known separation between ...
This work shows that even a random constant-size gadget does enable lifting to PDT size, and yields the first systematic way of turning lower bounds on the ...
Jun 11, 2024 · This resolves an open question raised by Gryaznov, Pudlak, and Talebanfard (CCC 2022). As a byproduct of our technique, we prove that the size ...
The parity game is a two player game. The players will be called Odd and. Even. It is played on a finite directed graph whose vertices are partitioned.
Feb 8, 2022 · Train your employees in appropriate conflict resolution. While you can do so with traditional training, games and activities are one of the best ways to handle ...
This system lies between regular Resolution, in which no variable can be resolved more than once along any path, and general Resolution where there is no ...
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Nov 25, 2024 · The talk is based on joint work with Yaroslav Alekseev, "Lifting to ... regular resolutions over parities via games," which is available at.
May 19, 2015 · Abstract Small Progress Measures is one of the most efficient parity game solving algorithms. The original algorithm provides the full solu-.