A Graphic Apology for Symmetry and Implicitness

Inbunden, Engelska, 2000

Av Alessandra Carbone, Stephen Semmes, University of Paris XII) Carbone, Alessandra (Department of Mathematics and Computer Science, Department of Mathematics and Computer Science, Houston) Semmes, Stephen (Department of Mathematics, Department of Mathematics, Rice University

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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).

Produktinformation

Utgivningsdatum2000-06-29
Mått162 x 242 x 31 mm
Vikt864 g
FormatInbunden
SpråkEngelska
SerieOxford Mathematical Monographs
Antal sidor520
FörlagOUP OXFORD
ISBN9780198507291

Tillhör följande kategorier

1. Introduction ; 2. Morphisms in logic and complexity ; 3. Exponential processes and formal proofs ; 4. Graphs and their visibilities ; 5. Asymptotic growth of infinite visibilities ; 6. Geometric aspects of cut elimination ; 7. Feasibility graphs ; 8. Bounds for finite visibilities ; 9. Some related computational questions ; 10. Mappings and graphs ; 11. Mappings and comparisons ; 12. Adjacency matrices and counting ; 13. Duality and NP-completeness ; 14. Finite automata and regular languages ; 15. Constructions with graphs ; 16. Stronger forms of recursion ; 17. Groups and graphs ; 18. Extended notions of automata ; 19. Geometry of scales in metric spaces ; 20. The Corona decomposition revisited ; Appendix A: Formal proofs: A brief review ; References ; Index