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Complexity of validity of first-order logic over finite words with bounded quantifier altern...

However, I'm looking at the complexity of the levels of the alternation hierarchy, i.e., $\Sigma_n$ and $\Pi_n$ fragments of $FO[\le]$. … But then what is the complexity of satisfiability/validity for $\Sigma_n$-formulae for a fixed $n$? …
Nicola Gigante's user avatar
5 votes
1 answer
216 views

Complexity of propositional LTL with past operators and freeze quantifier?

In "A Really Temporal Logic", by R.Alur and A.Henziger, they introduce an extension of Linear Temporal Logic with a freeze quantifier $x.\phi$, which allows to "give a name" to the current time point …
Nicola Gigante's user avatar