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

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

Blog Article

Pebble games were extensively studied in the 1970s and 1980s in a number of different contexts.The last decade has seen a mudra fitted tee 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 bar bottle covers 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.