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Diff — Gödel's incompleteness theorems

Revision #1267 → #2407 · back to history

addedChurch's theorem (Entscheidungsproblem unsolvable)d1894c5fa6e7
addedInaccessible cardinal yields a model of ZFC83162240aaa0
addedWellfoundedness of ε₀788b578a3ae4
addedGraph minor theorem (Robertson–Seymour)bec6a0784b08
modifiedHalting problem undecidable242c13dd506d
FieldFrom #1267To #2407
mathlib.declNat.Partrec.Code.halting_problemComputablePred.halting_problem
note`halting_problem` proves the predicate deciding whether a code halts on input n is not computable.`ComputablePred.halting_problem` proves that deciding whether a code halts on input n is not computable.
modifiedMatiyasevich's theorem81d6ddc1c8b4
FieldFrom #1267To #2407
mathlib.declpow_diophDioph.pow_dioph
noteMathlib formalizes a key MRDP step (`pow_dioph`, the power function is Diophantine) but not the full theorem or the undecidability of Hilbert's tenth problem.Mathlib formalizes a key MRDP step (`Dioph.pow_dioph`, the power function is Diophantine) but not the full theorem or the undecidability of Hilbert's tenth problem.
addedCantor's diagonal argument32c9824ad872