LBITAC

Lower Bounds and Identity Testing for Arithmetic Circuits

Coordinatore	TEL AVIV UNIVERSITY    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Israel [IL]
Totale costo	1˙427˙485 €
EC contributo	1˙427˙485 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2010-StG_20091028
Funding Scheme	ERC-SG
Anno di inizio	2011
Periodo (anno-mese-giorno)	2011-03-01   -   2017-02-28

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY  Organization address address: TECHNION CITY - SENATE BUILDING city: HAIFA postcode: 32000 contact info Titolo: Mr. Nome: Mark Cognome: Davison Email: send email Telefono: +972 4 829 4854 Fax: +972 4 823 2958	IL (HAIFA)	beneficiary	714˙651.42
2	TEL AVIV UNIVERSITY  Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 contact info Titolo: Dr. Nome: Amir Cognome: Benbenishty Shpilka Email: send email Telefono: +972 3 6406528 Fax: +972 3 6409697	IL (TEL AVIV)	hostInstitution	712˙833.58
3	TEL AVIV UNIVERSITY  Organization address address: RAMAT AVIV city: TEL AVIV postcode: 69978 contact info Titolo: Ms. Nome: Lea Cognome: Pais Email: send email Telefono: +972 3 6408774 Fax: +972 3 6409697	IL (TEL AVIV)	hostInstitution	712˙833.58

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 Obiettivo del progetto (Objective)

'The focus of our proposal is on arithmetic circuit complexity. Arithmetic circuits are the most common model for computing polynomials, over arbitrary fields. This model was studied by many researchers in the past 40 years but still not much is known on many of the basic problems concerning this model.

In this research we propose to study some of the most exciting fundamental open problems in theoretical computer science: Proving lower bounds on the size of arithmetic circuits and finding efficient deterministic algorithms for checking identity of arithmetic circuits. Proving a strong lower bound or finding efficient deterministic algorithms to the polynomial identity testing problem are the most important problems in algebraic complexity and solving either of them will be a dramatic breakthrough in theoretical computer science.

The two problems that we intend to study are closely related to each other - there are several known results showing that a solution to one of the problems may lead to a solution to the other. Thus, we propose to study strongly related problems that lie in the frontier of algebraic complexity. Any advance will be a significant contributions to the field of theoretical computer science.'