Finite Automata Reduction: Difference between revisions
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'''Finite Automata Reduction''' (short '''FAR''') is a [[decider]] related to [[Closed Tape Language]]. It works by finding a regular language containing all eventually halting configurations of a TM. If the empty tape is not in the regular language, the TM has been shown to be non-halting | '''Finite Automata Reduction''' (short '''FAR''') is a [[decider]] related to [[Closed Tape Language]]. It works by finding a regular language containing all eventually halting configurations of a TM. If the empty tape is not in the regular language, the TM has been shown to be non-halting. | ||
==History== | ==History== | ||
* In October 2022, Finite Automata Reduction is first introduced by Justin Blanchard,<ref>https://github.com/UncombedCoconut/bbchallenge-deciders/tree/finite-automata-reduction/decider-finite-automata-reduction</ref> later in October, Konrad Deka developes an SAT-based FAR implementation.<ref>https://github.com/colette-b/bbchallenge</ref> | * In October 2022, Finite Automata Reduction is first introduced by Justin Blanchard,<ref>https://github.com/UncombedCoconut/bbchallenge-deciders/tree/finite-automata-reduction/decider-finite-automata-reduction</ref> later in October, Konrad Deka developes an SAT-based FAR implementation.<ref>https://github.com/colette-b/bbchallenge</ref> | ||
Revision as of 20:26, 20 February 2026
Finite Automata Reduction (short FAR) is a decider related to Closed Tape Language. It works by finding a regular language containing all eventually halting configurations of a TM. If the empty tape is not in the regular language, the TM has been shown to be non-halting.
History
- In October 2022, Finite Automata Reduction is first introduced by Justin Blanchard,[1] later in October, Konrad Deka developes an SAT-based FAR implementation.[2]
- In January 2023, Finite Automata Reduction is reproduced by Tony Guilfoyle.[3]
- In April 2023, the decider is added to the deciders write-up, becoming section 6. Later in April, it is also reproduced by Tristan Stérin.[4] On the 9th of April, Finite Automata Reduction is applied on the remaining BB(5) holdouts.[5]
See also
- Section 6 of bbchallenge's deciders write-up.
- Meet-in-the-Middle Weighted Finite Automata Reduction (MITMWFAR)
References
- ↑ https://github.com/UncombedCoconut/bbchallenge-deciders/tree/finite-automata-reduction/decider-finite-automata-reduction
- ↑ https://github.com/colette-b/bbchallenge
- ↑ https://github.com/TonyGuil/bbchallenge/tree/main/FAR
- ↑ https://github.com/bbchallenge/bbchallenge-deciders/tree/main/decider-finite-automata-reduction-reproduction
- ↑ https://discuss.bbchallenge.org/t/decider-finite-automata-reduction/123