Lower Bounds and Identity Testing for Arithmetic Circuits

Projektinformationen

LBITAC

ID Finanzhilfevereinbarung: 257575

Abgeschlossenes Projekt

Startdatum 1 März 2011

Enddatum 28 Februar 2017

Finanziert unter

• Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Gesamtkosten € 1 427 485,00

EU-Beitrag € 1 427 485,00

Koordiniert durch

TEL AVIV UNIVERSITY
Israel

Ziel

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.

Wissenschaftliches Gebiet

• natural sciences › mathematics › pure mathematics › arithmetics
• natural sciences › computer and information sciences › computational science

Programm/Programme

• 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)

Thema/Themen

• ERC-SG-PE6 - ERC Starting Grant - Computer science and informatics

Aufforderung zur Vorschlagseinreichung

ERC-2010-StG_20091028
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

ERC-SG - ERC Starting Grant

Gastgebende Einrichtung

TEL AVIV UNIVERSITY

Hauptforscher

Amir Benbenishty Shpilka (Dr.)

Kontakt Verwaltung

Lea Pais (Ms.)

• EU-Beitrag: € 712 833,58
• Adresse: RAMAT AVIV ; 69978 Tel Aviv ; Israel
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten

Begünstigte (2)

TEL AVIV UNIVERSITY

Israel

Hauptforscher

Amir Benbenishty Shpilka (Dr.)

Kontakt Verwaltung

Lea Pais (Ms.)

• EU-Beitrag: € 712 833,58
• Adresse: RAMAT AVIV ; 69978 Tel Aviv
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten

TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY

Beteiligung beendet

Israel

Kontakt Verwaltung

Mark Davison (Mr.)

• EU-Beitrag: € 714 651,42
• Adresse: SENATE BUILDING TECHNION CITY ; 32000 Haifa
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: Keine Daten