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No Matrix Term-Equivalent to Wroński's 3-element Matrix is Finitely Based

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Abstract

Motivated by a question of W. Rautenberg, we prove that any matrix that is term-equivalent to the well-known nonfinitely based matrix of A. Wroński is itself also nonfinitely based.

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References

  1. Herrmann, B., and W. Rautenberg, 'Finite Replacement and Finite Hilbert-style axiomatizability', Z. Math. Logik Grundlagen Math. 38(1992), 327–344.

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  2. Rautenberg, W., 'Two-element matrices', Studia Logica 40 (1981), 315–353.

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  3. Rautenberg, W., 'Axiomatizing Logics closely related to varieties', Studia Logica 50 (1991), 607–622.

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  4. Rautenberg, W., 'Finite axiomatizability of logics', Workshop on Abstract Algebraic Logic, Centre de Recerca Matemática, Quadrens, núm. 10/gener 1998 (abstracts).

  5. Wroński, A., 'A three-element matrix whose consequence operator in not finitely based', Buletin of the Section of Logic PAN, Vol. 8(2), 68–71.

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Pałasińska, K. No Matrix Term-Equivalent to Wroński's 3-element Matrix is Finitely Based. Studia Logica 77, 413–423 (2004). https://doi.org/10.1023/B:STUD.0000039032.60684.88

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  • DOI: https://doi.org/10.1023/B:STUD.0000039032.60684.88

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