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On Two Forms of Bureaucracy in Derivations Kai Br nnler1 and St fine Lengrand2 u e 1 Institute f r angewandte Mathematic UND Informatic u Nebr cast. 10, CH 3012 Bern, Switzerland u 2 PPS, University
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An example of such bureaucracy is the order between two consecutive inference rules that trivially permute. Building on ideas by Guglielmo and B. N. Nibbler (1990), we characterize and analyze two related forms of bureaucracy in and. We propose two general measures for measuring the relative importance of and : (1) The length of the bureaucracy; (2) The number of rules to follow during a computation. We prove two counterintuitive results at an appropriate level of generality, using as a useful computational model system: (1) The length of bureaucracy is related to the complexity of the computation. (2) The number of rules to follow during a computation is always greater than or equal to the total number of information rules to be computed. Open in a separate window We also present a proof of and. The proof is formulated within the context of the Guglielmo-Nijboer algorithm for finding non-overlapping sets of relations.

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