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A Decider (or a Filter) is a program which attempts to decide whether or not a given Turing machine (TM) will halt. Since the Halting Problem is uncomputable, no decider can decide all TMs, instead deciders categorize each TM into one of three categories: Halting, Proven Infinite, or Holdout.

There are a wide variety of methods used to construct deciders. Some broad categories are: Accelerated Simulators, Backwards Reasoning and Closed Set methods.

List of Deciders

See also