Skip to main content
SpringerLink
Log in
Book cover

International Conference on Knowledge-Based and Intelligent Information and Engineering Systems

KES 2009: Knowledge-Based and Intelligent Information and Engineering Systems pp 388–394Cite as

A Note on Monadic Curry System P1

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5712))

Abstract

This paper is a sequel to [4]. We present an algebraic version of the monadic system P1* [8] by using the concept of Curry Algebra [5]. The algebraic structure obtained is called Monadic Curry Algebra P1*, which is a kind of ‘dual’ algebra studied in [4].

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abe, J.M.: Curry algebras Pt. Logique et Analyse, 161–163, 5–15 (1998)

    Google Scholar 

  2. Abe, J.M.: Curry Algebras N1. Atti Acc. Lincei Rend. Fis. 7(9), 125–128 (1996)

    MATH  Google Scholar 

  3. Abe, J.M., Akama, S., Nakamatsu, K.: Monadic Curry Algebras Qt. In: Apolloni, B., Howlett, R.J., Jain, L. (eds.) KES 2007, Part II. LNCS, vol. 4693, pp. 893–900. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Abe, J.M., Nakamatsu, K., Akama, S.: An Algebraic Version of the Monadic System C1. To appear in the First KES International Symposium on Intelligent Decision Technologies (IDT 2009), Japan (2009)

    Google Scholar 

  5. Barros, C.M., da Costa, N.C.A., Abe, J.M.: Tópico de teoria dos sistemas ordenados: vol. II, sistemas de Curry, Coleção Documentos, Série Lógica e Teoria da Ciência, IEA-USP, vol. 20, 132 p. (1995)

    Google Scholar 

  6. Curry, H.B.: Foundations of Mathematical Logic. Dover, New York (1977)

    MATH  Google Scholar 

  7. Da Costa, N.C.A.: On the theory of inconsistent formal systems. Notre Dame J. of Formal Logic 15, 497–510 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  8. Da Costa, N.C.A., Marconi, D.: A note on paracomplete logic. Atti Acc. Lincei Rend. Fis. 80(8), 504–509 (1986)

    MathSciNet  MATH  Google Scholar 

  9. Eytan, M.: Tableaux of Hintikka et Tout ça: un Point de Vue Algebrique. Math. Sci. Humaines 48, 21–27 (1975)

    MathSciNet  MATH  Google Scholar 

  10. Halmos, P.R.: Algebraic Logic. Chelsea Publishing Co., New York (1962)

    MATH  Google Scholar 

  11. Kleene, S.C.: Introduction to Metamathematics. Van Nostrand, Princeton (1952)

    MATH  Google Scholar 

  12. Mortensen, C.: Every quotient algebra for C1 is trivial. Notre Dame J. of Formal Logic 21, 694–700 (1977)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Graduate Program in Production Engineering, ICET - Paulista University, R. Dr. Bacelar, 1212, CEP 04026-002, São Paulo, SP, Brazil

    Jair Minoro Abe & Fábio Romeu de Carvalho

  2. Institute For Advanced Studies, University of São Paulo, Brazil

    Jair Minoro Abe

  3. School of Human Science and Environment/H.S.E., University of Hyogo, Japan

    Kazumi Nakamatsu

Authors
  1. Jair Minoro Abe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kazumi Nakamatsu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fábio Romeu de Carvalho
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. University of Chile, Republica 701, 8370439, Santiago, Chile

    Juan D. Velásquez  & Sebastián A. Ríos  & 

  2. University of Brighton, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. University of South Australia, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Abe, J.M., Nakamatsu, K., de Carvalho, F.R. (2009). A Note on Monadic Curry System P1 . In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2009. Lecture Notes in Computer Science(), vol 5712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04592-9_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04592-9_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04591-2

  • Online ISBN: 978-3-642-04592-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation