On propositional quantifiers in provability logic

Notre Dame Journal of Formal Logic 34 (3):401-419 (1993)
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Undecidability in diagonalizable algebras.V. Shavrukov - 1997 - Journal of Symbolic Logic 62 (1):79-116.
Provability logic.Rineke Verbrugge - 2008 - Stanford Encyclopedia of Philosophy.

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