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Reasoning using tangles on parity games

Project description

Tangles for parity games

One of the main objectives of computer science is to ensure that computer systems are formally correct by developing ways to prove that a system properly implements certain given properties. In this context, parity games are challenging. They are also a compelling subject for theoretical computer science because they are believed to be in the complexity class P – a question that has loomed for two decades. The EU-funded PIGGY project focusses on understanding the inherent complexity of solving parity games algorithmically. At the heart of the study is exploring the structure of tangles.

Objective

Virtually all aspects of society, industry and science are significantly impacted by increasingly complex computers and the software that they run. A major objective within computer science is to ensure that these computer systems are formally correct by developing ways to prove that a system correctly implements certain given properties, or ways to construct such a system. In this domain of computer science, an important topic is parity games. Many real-world systems run continuously and properties for such systems are described in temporal logics such as linear temporal logic (LTL) and various logics derived from or related to LTL. Solving parity games computes whether a given system has a property specified in these temporal logics, or constructs a system that implements such a property.

Parity games are in addition a compelling subject for theoretical computer science because they are believed to be in the complexity class P; however, this has been an open question for over 20 years. In recent years, new algorithms have been discovered that solve parity games in quasi-polynomial time, while at the same time researchers have found quasi-polynomial lower bounds for several families of algorithms.In my publication on tangle learning, I propose the notion of a tangle and show that existing parity game solving algorithm implicitly explore tangles when reasoning about how a player can force the opponent to move through the parity game from A to B.

The aim of this proposal is to understand the inherent complexity of solving parity games algorithmically. The strategy to achieve this is to obtain fundamental insights into the structure of tangles, how they are handled by parity game solving algorithms and how they arise in practical games.

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2019

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Coordinator

UNIVERSITEIT TWENTE
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.

€ 175 572,48
Address
DRIENERLOLAAN 5
7522 NB Enschede
Netherlands

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Region
Oost-Nederland Overijssel Twente
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.

€ 175 572,48
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