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Proof Theory in Computer Science
Author(s) -
Reinhard Kähle,
Peter SchroederHeister,
Robert F. Stärk
Publication year - 2001
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
DOI - 10.1007/3-540-45504-3
Subject(s) - computer science , proof theory , structural proof theory , proof of concept , mathematical logic , theoretical computer science , calculus (dental) , programming language , mathematical proof , mathematics , operating system , medicine , geometry , dentistry
A typed lambda calculus with recursion in all finite types is defined such that the first order terms exactly characterize the parallel complexity class NC. This is achieved by use of the appropriate forms of recursion (concatenation recursion and logarithmic recursion), a ramified type structure and imposing of a linearity constraint.

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