302 articles – 345 Notices  [english version]
HAL : hal-00150288, version 1

Fiche détaillée  Récupérer au format
Structures and Deductions (SD'05), Lisbon : Portugal (2005)
On Two Forms of Bureaucracy in Derivations
Kai Bruennler 1, Stéphane Lengrand 2, 3
(07/2005)

We call irrelevant information in derivations bureaucracy. An example of such irrelevant information is the order between two consecutive inference rules that trivially permute. Building on ideas by Guglielmi, we identify two forms of bureaucracy that occur in the calculus of structures (and, in fact, in every non-trivial term rewriting derivation). We develop term calculi that provide derivations that do not contain this bureaucracy. We also give a normalisation procedure that removes bureaucracy from derivations and find that in a certain sense the normalisation process is a process of cut elimination.
1 :  Institute of Computer Science and Applied Mathematics
University of Bern
2 :  Preuves, Programmes et Systèmes (PPS)
CNRS : UMR7126 – Université Paris VII - Paris Diderot
3 :  School of Computer Science, University of St Andrews
University of St Andrews
Informatique/Logique en informatique