Skip to main content

Internally Typed Second-Order Term Graphs

  • Conference paper
Graph-Theoretic Concepts in Computer Science (WG 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1517))

Included in the following conference series:

Abstract

We present a typing concept for second-order term graphsthat doesnot consider the types as an external add-on, but as an integral part of the term graph structure. This allows a homogeneous treatment of term-graph representations of many kinds of typing systems, including second-order λ-calculi and systems of dependent types. Applications can be found in interactive systems and as typed intermediate representation for example in compilers.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barendregt, H.P.: Lambda Calculi with Types. In: Abramsky, S., Gabbay, D.M., Maibaum, T.S.E. (eds.) Handbook of Logic in Computer Science, vol. 2, pp. 117–309. Oxford Univertity Press, New York (1992)

    Google Scholar 

  2. Brink, C., Kahl, W., Schmidt, G. (eds.): Relational Methods in Computer Science. Advances in Computing. Springer, Wien (1997) ISBN 3-211-82971-7

    MATH  Google Scholar 

  3. Kahl, W.: Algebraische Termgraphersetzung mit gebundenen Variablen. Reihe Informatik. Herbert Utz Verlag, München, zugleich Dissertation an der Fakultät für Informatik, Universität der Bundeswehr München (1996) ISBN 3-931327-60-4

    Google Scholar 

  4. Wolfram Kahl. A Fibred Approach to Rewriting — How the Duality between Adding and Deleting Cooperates with the Difference between Matching and Rewriting. Tech. Rep. 9702 (May 1997), Fakultät für Informatik, Universität der Bundeswehr München.

    Google Scholar 

  5. Kahl, W.: Relational Treatment of Term Graphs With Bound Variables. Journal of the IGPL 6(2), 259–303 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kahl, W.: The Higher Object Programming System — User Manual for HOPS, Fakultät für Informatik, Universität der Bundeswehr München (February 1998), http://diogenes.informatik.unibwmuenchen.de:8080/kahl/HOPS/

  7. Klop, J.W.: Combinatory Reduction Systems. Mathematical Centre Tracts 127, Centre for Mathematics and Computer Science, Amsterdam. PhD Thesis (1980)

    Google Scholar 

  8. Meijer, E., Fokkinga, M., Paterson, R.: Functional Programming with Bananas, Lenses, Envelopes and Barbed Wire. In: Hughes, J. (ed.) FPCA 1991. LNCS, vol. 523, pp. 124–144. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  9. Schmidt, G., Ströhlein, T.: Relations and Graphs, Discrete Mathematics for Computer Scientists. In: EATCS-Monographs on Theoretical Computer Science. Springer, Berlin (1993)

    Google Scholar 

  10. Spivey, J.M.: The Z Notation: A Reference Manual. Prentice Hall International Series in Computer Science. Prentice Hall, Englewood Cliffs (1989)

    MATH  Google Scholar 

  11. Talcott, C.L.: A Theory of Binding Structures and Applications to Rewriting. Theoretical Computer Science 112, 68–81 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  12. Wadsworth, C.P.: Semantics and Pragmatics ofthe Lambda Calculus. Ph.D. thesis, Oxford University (September 1971)

    Google Scholar 

  13. Zierer, H., Schmidt, G., Berghammer, R.: An Interactive Graphical Manipulation System for Higher Objects Based on Relational Algebra. In: Tinhofer, G., Schmidt, G. (eds.) WG 1986. LNCS, vol. 246, pp. 68–81. Springer, Heidelberg (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kahl, W. (1998). Internally Typed Second-Order Term Graphs. In: Hromkovič, J., Sýkora, O. (eds) Graph-Theoretic Concepts in Computer Science. WG 1998. Lecture Notes in Computer Science, vol 1517. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10692760_13

Download citation

  • DOI: https://doi.org/10.1007/10692760_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65195-6

  • Online ISBN: 978-3-540-49494-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics