Backward Reasoning: Difference between revisions

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Backward Reasoning is a [[decider]] which simulates [[Turing machines]] backwards from all possible halting configurations until a contradiction (or an impossible step) is reached. If a contradiction is reached from all possible halting configurations, the TM is shown to be non-halting. The amount of backward steps which are simulated can also be called the depth with which Backward Reasoning was applied.
==See also==
See [https://github.com/bbchallenge/bbchallenge-proofs/blob/build-latex-pdf/deciders/correctness-deciders.pdf Section 4] of bbchallenge's deciders write-up.
See [https://github.com/bbchallenge/bbchallenge-proofs/blob/build-latex-pdf/deciders/correctness-deciders.pdf Section 4] of bbchallenge's deciders write-up.
[[Category:Deciders]]
[[Category:Deciders]]

Revision as of 22:34, 27 August 2025

Backward Reasoning is a decider which simulates Turing machines backwards from all possible halting configurations until a contradiction (or an impossible step) is reached. If a contradiction is reached from all possible halting configurations, the TM is shown to be non-halting. The amount of backward steps which are simulated can also be called the depth with which Backward Reasoning was applied.

See also

See Section 4 of bbchallenge's deciders write-up.