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.
Expressive power and succinctness of the positive calculus of binary relations
2 Pith papers cite this work. Polarity classification is still indexing.
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Generalizes PDL to OPDL by distinguishing programs from traces via arbitrary operational semantics and proves cut-elimination for a non-wellfounded sequent calculus.
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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.
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On Propositional Dynamic Logic and Concurrency
Generalizes PDL to OPDL by distinguishing programs from traces via arbitrary operational semantics and proves cut-elimination for a non-wellfounded sequent calculus.