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(2017) Axiomathes 27 (4).
On axiom systems of Słupecki for the functionally complete three-valued logic
Mateusz M. Radzki
pp. 403-415
The article concerns two axiom systems of Słupecki for the functionally complete three-valued propositional logic: W1–W6 (from 1936) and A1–A9 (from 1946). The article proves that both of them are inadequate—W1–W6 is semantically incomplete, on the other hand, A1–A9 governs a functionally incomplete calculus, and thus, it cannot be a semantically complete axiom system for the functionally complete three-valued logic.
Publication details
DOI: 10.1007/s10516-016-9319-x
Full citation:
Radzki, M. M. (2017). On axiom systems of Słupecki for the functionally complete three-valued logic. Axiomathes 27 (4), pp. 403-415.
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