Descrizione del progetto
Nodi per i giochi di parità
Uno dei principali obiettivi dell’informatica è quello di garantire che i sistemi informatici siano formalmente corretti sviluppando modi per dimostrarne la corretta implementazione di determinate proprietà. In questo contesto, i giochi di parità rappresentano una sfida. E sono anche un argomento avvincente per l’informatica teorica in quanto si ritiene che siano nella classe di complessità P, una questione che si profila da due decenni. Il progetto PIGGY, finanziato dall’UE, si concentra sulla comprensione della complessità intrinseca della soluzione algoritmica dei giochi di parità. Al centro dello studio vi è l’esplorazione della struttura dei nodi.
Obiettivo
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.
Campo scientifico
Parole chiave
Programma(i)
Argomento(i)
Meccanismo di finanziamento
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)Coordinatore
7522 NB Enschede
Paesi Bassi