Abstract
A typed lambda calculus with recursion in all finite types is defined such that the first order terms exactlyc haracterize the parallel complexityclass NC. This is achieved byuse of the appropriate forms of recursion (concatenation recursion and logarithmic recursion), a ramified type structure and imposing of a linearity constraint.
Supported bythe DFG Graduiertenkolleg “Logik in der Informatik”
Supported bythe DFG Emmy Noether-Programme under grant No. Jo 291/2-1
The hospitalityof the Mittag-Leffler Institute in the spring of 2001 is gratefully acknowledged.
Supported bya Marie Curie fellowship of the European Union under grant no. ERBFMBI-CT98-3248
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Aehlig, K., Johannsen, J., Schwichtenberg, H., Terwijn, S.A. (2001). Linear Ramified Higher Type Recursion and Parallel Complexity. In: Kahle, R., Schroeder-Heister, P., Stärk, R. (eds) Proof Theory in Computer Science. PTCS 2001. Lecture Notes in Computer Science, vol 2183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45504-3_1
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DOI: https://doi.org/10.1007/3-540-45504-3_1
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