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Synthesizing Traditional and Reuse Approaches to Space

Objective

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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Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2026-STG

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Host institution

UNIVERZITA KARLOVA
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 465 625,00
Address
OVOCNY TRH 560/5
116 36 Praha 1
Czechia

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Region
Česko Praha Hlavní město Praha
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 465 625,00

Beneficiaries (1)