GNTC satisfiability is 2ExpTime-complete and model checking is P^NP[O(log² n)]-complete via polynomial and exponential reductions to UNTC and 2-way alternating parity tree automata.
For a GNTC formula set Γ, we write Unf(Γ) for the set of GNTC formula sets obtained from Γ by replacing each φ ∈ Γ with some φ′ ∈ Unf(φ)
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Guarded Negation Transitive Closure Logic
GNTC satisfiability is 2ExpTime-complete and model checking is P^NP[O(log² n)]-complete via polynomial and exponential reductions to UNTC and 2-way alternating parity tree automata.