Capturing relational NEXPTIME with a fragment of existential third order logic


  • José María Turull Torres SEAT, Massey University, Wellington, New Zealand


relational complexity, third order logic, expressibility of logics, relational machines, fixed point quantifiers


We prove that the existential fragment Σ^(2,ω) 1 of the third order logic TO^ω
captures the relational complexity class non deterministic exponential time. As a Corollary we have that relational machines that work in NEXTIME r can simulate third order relational machines that work in NEXPTIME 3,r.


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How to Cite

Turull Torres, J. M. (2015). Capturing relational NEXPTIME with a fragment of existential third order logic. Journal of Computer Science and Technology, 15(02), p. 87–92. Retrieved from



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