Capturing relational NEXPTIME with a fragment of existential third order logic

We prove that the existential fragment Σ²<sub>1</sub><sup>,ω</sup> of the third or- der logic TO<sup>ω</sup> captures the relational complexity class non deterministic exponential time. As a Corollary we have that relational machines can simulate third order rel...

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Autor principal: Turull Torres, José María
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2015
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/50424
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Sumario:We prove that the existential fragment Σ²<sub>1</sub><sup>,ω</sup> of the third or- der logic TO<sup>ω</sup> captures the relational complexity class non deterministic exponential time. As a Corollary we have that relational machines can simulate third order relational machines.