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A model with nondeterministic computation

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λ-Calculus and Computer Science Theory (LCCST 1975)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 37))

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Abstract

In paragraph 2 of this paper an algorithmic model is described having a set R of rules. In paragraph 3 two new rules are added to the rules of R. Such new rules may change a nonterminating computation into a terminating one. In paragraph 4 some families of expressions to which the rules added to R can be applied are defined. In paragraph 5 it is shown that the considered model is a uniformly reflexive structure.

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References

  1. WAGNER E.G., Uniformly Reflexive Structures: An Axiomatic Approach to Computability, Information Sci. 1 (1969), 343–362.

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  2. STRONG H.R., Algebraically Generalized Recursive Functions Theory, IBM J. Res. Develop.12 (1968), 465–475.

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  3. CURRY H.B. and FEYS R., Combinatory Logic, North Holland, Amsterdam, 1958.

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  4. GROSS W. and VENTURINI ZILLI M., Computability and Uniformly Reflexive Structures, Proceedings of the International Computing Symposium (Venice, 1972), pp.485–495.

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  5. VENTURINI ZILLI M., On different kinds of indefinite,Calcolo 11 (1974), 67–77.

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C. Böhm

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© 1975 Springer-Verlag Berlin Heidelberg

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Zilli, M.V. (1975). A model with nondeterministic computation. In: Böhm, C. (eds) λ-Calculus and Computer Science Theory. LCCST 1975. Lecture Notes in Computer Science, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029532

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  • DOI: https://doi.org/10.1007/BFb0029532

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07416-8

  • Online ISBN: 978-3-540-37944-7

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