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Algebraic analysis of many valued logics
Author:
C. C. Chang
Journal:
Trans. Amer. Math. Soc. 88 (1958), 467-490
MSC:
Primary 02.00; Secondary 06.00
MathSciNet review:
0094302
Full-text PDF Free Access
References |
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Additional Information
- [1]
Garrett
Birkhoff, Lattice Theory, American Mathematical Society
Colloquium Publications, vol. 25, revised edition, American Mathematical
Society, New York, N. Y., 1948. MR 0029876
(10,673a)
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C.
C. Chang, Proof of an axiom of
Łukasiewicz, Trans. Amer. Math. Soc.
87 (1958), 55–56.
MR
0094301 (20 #820), http://dx.doi.org/10.1090/S0002-9947-1958-0094301-7
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J. Łukasiewicz and A. Tarski, Untersuchungen über den Aussagenkalkül, Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III, vol. 23 (1930) pp. 30-50.
- [4]
C.
A. Meredith, The dependence of an axiom of
Łukasiewicz, Trans. Amer. Math. Soc.
87 (1958), 54. MR 0094300
(20 #819), http://dx.doi.org/10.1090/S0002-9947-1958-0094300-5
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Alan
Rose and J.
Barkley Rosser, Fragments of many-valued statement
calculi, Trans. Amer. Math. Soc. 87 (1958), 1–53. MR 0094299
(20 #818), http://dx.doi.org/10.1090/S0002-9947-1958-0094299-1
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M.
H. Stone, The theory of representations for
Boolean algebras, Trans. Amer. Math. Soc.
40 (1936), no. 1,
37–111. MR
1501865, http://dx.doi.org/10.1090/S0002-9947-1936-1501865-8
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Alfred
Tarski, Contributions to the theory of models. I, Nederl.
Akad. Wetensch. Proc. Ser. A. 57 (1954), 572–581 =
Indagationes Math. 16, 572–581 (1954). MR 0066301
(16,554f)
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M.
Wajsberg, Beiträge zum Metaaussagenkalkül I,
Monatsh. Math. Phys. 42 (1935), no. 1, 221–242
(German). MR
1550430, http://dx.doi.org/10.1007/BF01733295
- [1]
- G. Birkhoff, Lattice theory, Rev. ed., 1948. MR 0029876 (10:673a)
- [2]
- C. C. Chang, Proof of an axiom of Łukasiewicz, Trans. Amer. Math. Soc. vol. 87 (1958) pp. 55-56. MR 0094301 (20:820)
- [3]
- J. Łukasiewicz and A. Tarski, Untersuchungen über den Aussagenkalkül, Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Classe III, vol. 23 (1930) pp. 30-50.
- [4]
- C. A. Meredith, The dependence of an axiom of Ł ukasiewicz, Trans. Amer. Math. Soc. vol. 87 (1958) p. 54. MR 0094300 (20:819)
- [5]
- A. Rose and J. B. Rosser, Fragments of many valued statement calculi, Trans. Amer. Math. Soc. vol. 87 (1958) pp. 1-53. MR 0094299 (20:818)
- [6]
- M. H. Stone, The theory of representations for Boolean algebras, Trans. Amer. Math. Soc. vol. 40 (1936) pp. 37-111. MR 1501865
- [7]
- A. Tarski, Contributions to the theory of models I, Indag. Math. vol. 16 (1954) pp. 572-581. MR 0066301 (16:554f)
- [8]
- M. Wajsberg, Beiträge zum Metaaussagenkalkül I, Monatshefte für Mathematik und Physik vol. 42 (1935) pp. 221-242. MR 1550430
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1958-0094302-9
PII:
S 0002-9947(1958)0094302-9
Article copyright:
© Copyright 1958 American Mathematical Society
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