Titlebook: Janusz Czelakowski on Logical Consequence; Jacek Malinowski,Rafał Palczewski Book 2024 The Editor(s) (if applicable) and The Author(s), un

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ARM

Czelakowski’s Work on Quasivarietieseets. In addition, we show how Czelakowski and Dziobiak applied these ideas to produce finite basis theorems. Special emphasis is placed on delivering a readable and self-contained account that incorporates the majority of the proofs and highlights the connections among the covered topics.

Cytology

Characterization of Strong Day Implication Systemstems. In particular, it means that an equational-style version of Deduction-Detachment Theorem holds. Further, by the methods of Abstract Algebraic Logic, we show that existence of a strong Day implication system is equivalent to the existence of a special Gentzen-style system over an equational-style deductive system.

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Macronutrients

BILL

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On J. Czelakowski’s Contributions to Quantum Logic and the Foundation of Quantum Mechanics the theory of orthomodular posets as well as Czelakowski’s theory of partial Boolean algebras in a broader sense will be discussed. Finally, further representation theorems and their importance for quantum logic will be outlined.