Overview

The present book brings into focus the contrast between explicit and implicit algorithmic descriptions of objects. These themes are considered in a variety of settings, sometimes crossing traditional boundaries. Special emphasis is given to moderate complexity - exponential or polynomial - but objects with multi-exponential complexity also fit in. Among the items under consideration are graphs, formal proofs, languages, automata, groups, circuits, some connections with geometry of metric spaces, and complexity classes (P, NP, co-NP).

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9780198507291

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... outstanding ... The reviewer highly recommends this novel and interesting monograph. Zentralblatt Math Interesting and this is certainly one of the first treatments of these problems. EMS

Author Information

A. Carbone, Associate Professor of Computer Science, University of Paris XII, France S. Semmes, Professor of Mathematics, Rice University, Houston, USA

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