OAI/MathematicalPhysics/NavierStokes/ForcedComputation/Programs/MachineDecisionInput.lean
3 declarations, 0 contain sorry, 0 declared as axioms
The machine-theoretic published input for the decision corollaries.
A. M. Turing, On computable numbers, with an application to the Entscheidungsproblem, Proc. London Math. Soc. (2) 42 (1936–1937), 230–265, Section 8, printed p.248: undecidability of ever printing a designated symbol. No fluid event, force compiler, or geometric conclusion is assumed.
- def
OAI.ForcedComputation.FiniteMachineHaltingUndecidableline 17Source documentation
The standard halting undecidability specialization to finite one-tape machine tables. Correctness is required on every well-formed finite input.
def FiniteMachineHaltingUndecidable : Prop := …
- def
OAI.ForcedComputation.NoCompiledInputDeciderline 23Source documentation
No total algorithm on the finite source descriptions decides the given observation for all valid compiled inputs.
def NoCompiledInputDecider (event : (I : Alternating.MachineInput) → Alternating.ValidInput I → Prop) : Prop := …Mentions: OAI.Alternating.MachineInput, OAI.Alternating.ValidInput
- theorem
OAI.ForcedComputation.noCompiledInputDecider_of_haltingline 28