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On an equivalence between continuation and stack semantics

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Summary

A class of continuation models and a class of stack models for defining the semantics of programming languages are specified. A transformation is given that maps any continuation model into an equivalent stack model, and the equivalence is proved. The transformation is illustrated for an example language which includes gotos and recursive procedures.

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References

  1. Gordon, M.: Operational reasoning and denotational semantics. Stanford University Computer Science Department, Report No. STAN-CS-7S-506, 1975

  2. Hoare, C.A.R., Lauer, P.: Consistent and complementary formal theories of the semantics of programming languages. Acta Informatica 3, 135–153 (1974)

    Google Scholar 

  3. Manna, Z., Ness, S., Vuillemin, J.: Inductive methods for proving properties of programs. Comm. ACM 16, 491–502 (1973)

    Article  Google Scholar 

  4. Manna, Z.: Mathematical theory of computation. New York: McGraw-Hill 1974

    Google Scholar 

  5. Milne, R. E.: The formal semantics of computer languages and their implementations. Ph.D. Thesis, Cambridge University and Tech. Microfiche TCF-2, Oxford University Computing Lab., Programming Research Group, 1974

  6. Reynolds, J.C.: Definitional interpreters for higher-order programming languages. Proceedings of the ACM Annual Conference, Vol. 27, pp. 717–740, 1972

    Google Scholar 

  7. Plotkin, G.D.: LCF considered as a programming language. In: Proc. Conf. on Proving and Improving Programs, IRIA, pp. 243–262, 1975

  8. Scott, D.: Lattice theory, data types and semantics. In: Formal semantics of programming languages (R. Rustin, ed.), pp. 65–105. Englewood Cliffs, N.J.: Prentice-Hall 1972

    Google Scholar 

  9. Scott, D.: Data types as lattices. In: Lecture Notes, Amsterdam, 1972. Also in: ISILC, Logic Conference, Kiel, 1974. Lecture Notes in Mathematics, Vol. 499, pp. 579–650. Berlin-Heidelberg-New York: pringer 1975

  10. Scott, D., Strachey, C.: Towards a mathematical semantics for computer languages. In: Computers and Automata (J. Fox, ed.), pp. 19–46. New York: Wiley 1972

    Google Scholar 

  11. Strachey, C., Wadsworth, C. P.: Continuations — a mathematical semantics for handling full jumps. Oxford University Computing Laboratory Technical Monograph PRG-11, 1974

  12. Walk, K. et al.: Abstract syntax and interpretation of PL/1. IBM Laboratory Vienna Technical Report, TR25.098, April 1969

  13. Wegner, P.: The Vienna definition language. Computing Survey 4, 5–63 (1972)

    Article  Google Scholar 

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Author notes

  1. Bruce Russell

    Present address: Department of Computer and Information Science, The Ohio State University, 2036 Niel Ave., 43210, Columbus, OH, USA

Authors and Affiliations

  1. Computer Science Department, University College, 4, Belfield, Dublin, Ireland

    Bruce Russell

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  1. Bruce Russell
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Russell, B. On an equivalence between continuation and stack semantics. Acta Informatica 8, 113–123 (1977). https://doi.org/10.1007/BF00289244

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  • DOI: https://doi.org/10.1007/BF00289244

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