TU Berlin

Fachgebiet Algorithmische AlgebraDr. Stefan Mengel

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Dr. Stefan Mengel


CRIL-CNRS/Université d'Artois
Faculté des Sciences Jean Perrin
rue Jean Souvraz, S.P. 18
F-62307 LENS Cedex
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Arithmetic Branching Programs with Memory
Zitatschlüssel M-Arithmetic-Branching-Programs-With-Memory
Autor Stefan Mengel
Buchtitel Mathematical foundations of computer science 2013
Seiten 667-678
Jahr 2013
DOI 10.1007/978-3-642-40313-2_59
Jahrgang 8087
Verlag Springer, Heidelberg
Zusammenfassung We extend the well known characterization of VP_ws as the class of polynomials computed by polynomial size arithmetic branching programs to other complexity classes. In order to do so we add additional memory to the computation of branching programs to make them more expressive. We show that allowing different types of memory in branching programs increases the computational power even for constant width programs. In particular, this leads to very natural and robust characterizations of VP and VNP by branching programs with memory.
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