Abstract
We are motivated by finding a good basis for the semantics of programming languages and investigate small classes in subrecursive hierarchies of functions. We do this with the help of a pairing function because in this way we can explore the amazing coding powers of S-expressions of LISP within the domain of natural numbers. We introduce three Grzegorczyk-like hierarchies based on pairing and characterize them both in terms of Grzegorczyk hierarchy and computational complexity.
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© 1995 Springer-Verlag Berlin Heidelberg
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Voda, P.J. (1995). Subrecursion as a basis for a feasible programming language. In: Pacholski, L., Tiuryn, J. (eds) Computer Science Logic. CSL 1994. Lecture Notes in Computer Science, vol 933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0022266
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DOI: https://doi.org/10.1007/BFb0022266
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