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  1. Control structures in programs and computational complexity.Karl-Heinz Niggl - 2005 - Annals of Pure and Applied Logic 133 (1-3):247-273.
    A key problem in implicit complexity is to analyse the impact on program run times of nesting control structures, such as recursion in all finite types in functional languages or for-do statements in imperative languages.Three types of programs are studied. One type of program can only use ground type recursion. Another is concerned with imperative programs: ordinary loop programs and stack programs. Programs of the third type can use higher type recursion on notation as in functional programming languages.The present approach (...)
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  • (1 other version)Mω considered as a programming language.Karl-Heinz Niggl - 1999 - Annals of Pure and Applied Logic 99 (1-3):73-92.
    The paper studies a simply typed term system Mω providing a primitive recursive concept of parallelism in the sense of Plotkin. The system aims at defining and computing partial continuous functionals. Some connections between denotational and operational semantics → for Mω are investigated. It is shown that → is correct with respect to the denotational semantics. Conversely, → is complete in the sense that if a program denotes some number k, then it is reducible to the numeral nk. Restricting to (...)
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