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We solve some open questions on the amalgamation porperty in various algebras of logic (like cylindric algebras). Some of these problems first appeared in Pigozzi (3).
This paper covers the history of the development of various epsilon calculi, and their applications, starting with the introduction of epsilon terms by Hilbert and Bernays. In particular it describes the Epsilon Substitution Method and the First and Second Epsilon Theorems, the original Epsilon...
We introduce a new axiomatic system of modal logic, BM, extending classical first order logic by adding the binary modal symbol “▹” intended to simulate the metamathematical provability predicate “⊢” of classical logic. We demonstrate via examples how BM can be used to write...
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