Decider
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
- Translated Cycler
- Backward Reasoning
- Closed Position Set (CPS)
- Closed Tape Language (CTL)
- Finite Automata Reduction (FAR)
- Inductive Proof System
- Bouncer
- Halting Segment
- Cycler