메뉴 건너뛰기




Volumn 16, Issue 1-2, 2006, Pages 123-136

N-valued logics and Łukasiewicz-Moisil algebras

(1)  Georgescu, George a  

a NONE

Author keywords

Categories; Categories of ukasiewicz Moisil algebras; Colimits; Equivalences between pairs of different categories of n valued logic algebras; N valued logics and ukasiewicz Moisil logic algebras; The fundamental logic adjunction theorem

Indexed keywords


EID: 33748869559     PISSN: 11221151     EISSN: 15728390     Source Type: Journal    
DOI: 10.1007/s10516-005-4145-6     Document Type: Article
Times cited : (9)

References (40)
  • 1
    • 33748849324 scopus 로고    scopus 로고
    • Complex nonlinear biodynamics in categories, higher dimensional algebra and Łukasiewicz-Moisil topos: Transformations of neuronal, genetic and neoplastic networks
    • current volume
    • Baianu, I. C., R. Brown, G. Georgescu and J. F. Glazebrook: 2006, 'Complex Nonlinear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz-Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks', Axiomathes (current volume).
    • (2006) Axiomathes
    • Baianu, I.C.1    Brown, R.2    Georgescu, G.3    Glazebrook, J.F.4
  • 2
    • 0017576272 scopus 로고
    • A logical model of genetic activities in Lukasiewicz algebras: The non-linear theory
    • Baianu, I. C.: 1977, A Logical Model of Genetic Activities in Lukasiewicz Algebras: The Non-linear Theory, Bulletin of Mathematical Biology 39, 249-258.
    • (1977) Bulletin of Mathematical Biology , vol.39 , pp. 249-258
    • Baianu, I.C.1
  • 3
    • 0004190631 scopus 로고
    • New York: American Mathematical Society
    • Birkhoff, G.: 1948, Lattice Theory, New York: American Mathematical Society.
    • (1948) Lattice Theory
    • Birkhoff, G.1
  • 6
    • 84968503880 scopus 로고
    • A new proof of the completeness of the Lukasiewicz axioms
    • Chang, C. C.: 1959, A New Proof of the Completeness of the Lukasiewicz Axioms, Transactions American Mathematical Society 93, 74-80.
    • (1959) Transactions American Mathematical Society , vol.93 , pp. 74-80
    • Chang, C.C.1
  • 7
    • 0000817320 scopus 로고    scopus 로고
    • Basic fuzzy logic is the logic of continuous t-norms and their residua
    • Cignoli, R., F. Esteva, L. Godo and A. Torrens: 2000, Basic Fuzzy Logic is the Logic of Continuous t-Norms and Their Residua, Soft Computing 4, 106-112.
    • (2000) Soft Computing , vol.4 , pp. 106-112
    • Cignoli, R.1    Esteva, F.2    Godo, L.3    Torrens, A.4
  • 8
    • 33745900986 scopus 로고
    • Moisil algebras
    • Inst. Mat., Univ. Nacional del Sur, BahiaBlanca
    • Cignoli, R.: 1970. 'Moisil Algebras', Notas de Logica Matematica, Inst. Mat., Univ. Nacional del Sur, BahiaBlanca, No. 27.
    • (1970) Notas de Logica Matematica , vol.27
    • Cignoli, R.1
  • 14
    • 22144451802 scopus 로고
    • On the characterization of centered Lukasiewicz algebras
    • Georgescu, G. and C. Vraciu: 1970, On the Characterization of Centered Lukasiewicz Algebras, Journal of Algebra 16, 486-495.
    • (1970) Journal of Algebra , vol.16 , pp. 486-495
    • Georgescu, G.1    Vraciu, C.2
  • 15
    • 33748882072 scopus 로고    scopus 로고
    • Towards a probability theory based on Moisil logic
    • Georgescu, G. and I. Leuştean: 2000, Towards a Probability Theory Based on Moisil Logic, Soft Computing 4, 19-26.
    • (2000) Soft Computing , vol.4 , pp. 19-26
    • Georgescu, G.1    Leuştean, I.2
  • 16
    • 0002901936 scopus 로고
    • Algebraic analysis of Łukasiewicz-tarski's logical systems
    • R. Wójcicki and G. Malinowski (eds.), Wroclaw: Ossolineum
    • Grigolia, R. S.: 1977. Algebraic Analysis of Łukasiewicz-Tarski's Logical Systems, in R. Wójcicki and G. Malinowski (eds.), Selected Papers on Lukasiewicz Sentential Calculi, Wroclaw: Ossolineum, pp. 81-92.
    • (1977) Selected Papers on Lukasiewicz Sentential Calculi , pp. 81-92
    • Grigolia, R.S.1
  • 21
    • 51249189718 scopus 로고
    • An axiomatic explanation of complete self-reproduction
    • Löfgren, L.: 1968, An Axiomatic Explanation of Complete Self-Reproduction, Bulletin of Mathematical Biophysics 30, 317-348.
    • (1968) Bulletin of Mathematical Biophysics , vol.30 , pp. 317-348
    • Löfgren, L.1
  • 22
    • 0004090391 scopus 로고
    • L. Borkowski (ed.), North-Holland Publ. Co., Amsterdam and PWN, Warsaw
    • Lukasiewicz, J.: 1970. 'Selected Works', in L. Borkowski (ed.), North-Holland Publ. Co., Amsterdam and PWN, Warsaw.
    • (1970) Selected Works
    • Lukasiewicz, J.1
  • 24
    • 51249194645 scopus 로고
    • A logical calculus of ideas immanent in nervous activity
    • McCulloch, W. and W. Pitts: 1943, A Logical Calculus of Ideas Immanent in Nervous Activity, Bulletin of Mathematical Biophysics 5, 115-133.
    • (1943) Bulletin of Mathematical Biophysics , vol.5 , pp. 115-133
    • McCulloch, W.1    Pitts, W.2
  • 25
    • 0002141730 scopus 로고
    • A theorem about infinite-valued sentential logic
    • McNaughton, R.: 1951, A Theorem about Infinite-Valued Sentential Logic, Journal of Symbolic Logic 16, 1-13.
    • (1951) Journal of Symbolic Logic , vol.16 , pp. 1-13
    • McNaughton, R.1
  • 28
    • 0001797805 scopus 로고
    • Interpretation of AF C©-algebras in Lukasiewicz sentential calculus
    • Mundici, D.: 1986, Interpretation of AF C©-algebras in Lukasiewicz Sentential Calculus, Journal of Functional Analysis 65, 15-63.
    • (1986) Journal of Functional Analysis , vol.65 , pp. 15-63
    • Mundici, D.1
  • 30
    • 0004341575 scopus 로고
    • 0 valeurs de Lukasiewicz
    • 0 Valeurs de Lukasiewicz, C. R. Acad. Sci. Paris 243, 1183-1185.
    • (1956) C. R. Acad. Sci. Paris , vol.243 , pp. 1183-1185
    • Rose, A.1
  • 32
    • 84972529729 scopus 로고
    • Extensions of some theorems of Anderson and Belnap
    • Rose, A.: 1962, Extensions of Some Theorems of Anderson and Belnap, Journal of Symbolic Logic 27(4), 423-425.
    • (1962) Journal of Symbolic Logic , vol.27 , Issue.4 , pp. 423-425
    • Rose, A.1
  • 33
    • 33748878489 scopus 로고
    • 0-valued Łukasiewicz propositional calculi
    • 0-Valued Łukasiewicz Propositional Calculi, Journal of Symbolic Logic 43(2), 207-210.
    • (1978) Journal of Symbolic Logic , vol.43 , Issue.2 , pp. 207-210
    • Rose, A.1
  • 34
    • 51649219090 scopus 로고
    • A relational theory of biological systems
    • Rosen, R.: 1958a, A Relational Theory of Biological Systems, Bulletin of Mathematical Biophysics 20, 245-260.
    • (1958) Bulletin of Mathematical Biophysics , vol.20 , pp. 245-260
    • Rosen, R.1
  • 35
    • 51649204660 scopus 로고
    • The representation of biological systems from the standpoint of the theory of categories
    • Rosen, R.: 1958b, The Representation of Biological Systems from the Standpoint of the Theory of Categories, Bulletin of Mathematical Biophysics 20, 317-341.
    • (1958) Bulletin of Mathematical Biophysics , vol.20 , pp. 317-341
    • Rosen, R.1
  • 36
    • 0004261679 scopus 로고
    • New York: Columbia University Press
    • Rosen, R.: 1991, Life Itself, New York: Columbia University Press.
    • (1991) Life Itself
    • Rosen, R.1
  • 37
    • 0003912894 scopus 로고    scopus 로고
    • New York: Columbia University Press
    • Rosen, R.: 2000, Essays on Life Itself, New York: Columbia University Press.
    • (2000) Essays on Life Itself
    • Rosen, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.