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Synthesizing Traditional and Reuse Approaches to Space

Objectif

Space is a fundamental computational resource both in theory and practice. We focus on a novel paradigm, which the PI recently named reusing space, centered on a counter-intuitive fact: space can be a powerful resource even while already in use. We study the relationship between two central questions:

Q1. What is the power of memory as a computational resource?
Q2. What is the power of full memory as a computational resource?

Until recently, there has been limited interplay between these two approaches to space. A new string of fundamental breakthroughs by the PI and others---first, on traditional questions in space via reuse-based algorithms; and second, on understanding the catalytic model of reuse via traditional approaches---gives us ample reason to change this state of affairs.

This project aims to synthesize the techniques and frontiers of space and reuse to resolve the central open questions of both fields in tandem.

Our main objectives are threefold:

O1. Primarily, we will apply the framework of reuse to solve longstanding problems in space, including the relationship of space and time, finding efficient graph connectivity algorithms, and derandomizing space-bounded computation.
O2. Conversely, we will apply tools from traditional space complexity to the catalytic computing model of reuse, in order to settle the strengths, weaknesses, and robustness of reusing space.
O3. Finally, we will utilize both traditional and reuse techniques for practical purposes, such as developing time-space efficient algorithms and resolving the power and feasibility of reuse in near-term quantum computing.

Reusing space is a new frontier of space-bounded computation with huge potential, few limitations, and which has overcome longstanding barriers. By merging it firmly with the traditional study of space, we can attack the deepest questions in both fields.

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Mots‑clés

Programme(s)

Thème(s)

Régime de financement

HORIZON-ERC - HORIZON ERC Grants

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Appel à propositions

(s’ouvre dans une nouvelle fenêtre) ERC-2026-STG

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Institution d’accueil

UNIVERZITA KARLOVA
Contribution nette de l'UE
€ 1 465 625,00
Adresse
OVOCNY TRH 560/5
116 36 Praha 1
Tchéquie
Région
Česko Praha Hlavní město Praha
Type d’activité
Higher or Secondary Education Establishments
Liens
Coût total
€ 1 465 625,00

Bénéficiaires (1)