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A proof theoretical approach to communication

  • Session 6: Calculi for Concurrency I
  • Conference paper
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Automata, Languages and Programming (ICALP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1256))

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Abstract

The paper investigates a concurrent computation model, chi calculus, in which communications resemble cut eliminations for classical proofs. The algebraic properties of the model are studied. Its relationship to sequential computation is illustrated by showing that it incorporates the operational semantics of the call-by-name lambda calculus. Practically the model has pi calculus as a submodel.

Supported by NNSF of China, grant number 69503006.

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References

  1. Abramsky, S.: Proofs as Processes. Theoretical Computer Science 135 (1994) 5–9

    Article  Google Scholar 

  2. Barendregt, H.: The Lambda Calculus: Its Syntax and Semantics. 1984

    Google Scholar 

  3. Bellin, G., Scott, P.: Remarks on the π-Calculus and Linear Logic. Theoretical Computer Science 135 (1994) 11–65

    Article  Google Scholar 

  4. Girard, J.: Linear Logic. Theoretical Computer Science 50 (1987) 1–102

    Article  Google Scholar 

  5. Milner, R.: Functions as Processes. Journal of Mathematical Structures in Computer Science 2 (1992) 119–141

    Google Scholar 

  6. Milner, R., Parrow, J., Walker, D.: A Calculus of Mobile Processes. Information and Computation 100 (1992) 1–40 (Part I), 41–77 (Part II)

    Article  Google Scholar 

  7. Plotkin, G.: Call-by-Name, Call-by-Value and the λ-Calculus. Theoretical Computer Science 1 (1975) 125–159

    Article  Google Scholar 

  8. Sangiorgi, D.: A Theory of Bisimulation for π-Calculus. Proc. CONCUR 93, LNCS 715 (1993) 127–142

    Google Scholar 

  9. Thomsen, B.: Plain CHOCS — A Second Generation Calculus for Higher Order Processes. Acta Informatica 30 (1993) 1–59

    Article  Google Scholar 

  10. Walker, D.: Objects in the π-Calculus. Information and Computation 116 (1995) 253–271

    Google Scholar 

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Authors

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Pierpaolo Degano Roberto Gorrieri Alberto Marchetti-Spaccamela

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© 1997 Springer-Verlag Berlin Heidelberg

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Fu, Y. (1997). A proof theoretical approach to communication. In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds) Automata, Languages and Programming. ICALP 1997. Lecture Notes in Computer Science, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63165-8_189

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  • DOI: https://doi.org/10.1007/3-540-63165-8_189

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63165-1

  • Online ISBN: 978-3-540-69194-5

  • eBook Packages: Springer Book Archive

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