Pebble Games, Proof Complexity, and Time-Space Trade-offs

Jakob Nordstrom

doi:10.2168/lmcs-9(3:15)2013

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arXiv · 1307.3913

Pebble Games, Proof Complexity, and Time-Space Trade-offs

Jakob Nordstrom

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Abstract

Pebble games were extensively studied in the 1970s and 1980s in a number of different contexts. The last decade has seen a revival of interest in pebble games coming from the field of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof systems when comparing the strength of different subsystems, showing bounds on proof space, and establishing size-space trade-offs. This is a survey of research in proof complexity drawing on results and tools from pebbling, with a focus on proof space lower bounds and trade-offs between proof size and proof space.

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Jakob Nordstrom. 2013-07-15. Pebble Games, Proof Complexity, and Time-Space Trade-offs. https://doi.org/10.2168/lmcs-9(3:15)2013

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