Heribert Vollmer

We study the complexity of the following algorithmic problem: Given a Boolean function $f$ and a finite set of Boolean functions $B$, decide if there is a circuit with basis $B$ that computes $f$. We show that if both $f$ and all functions in $B$ are given by their truth-table, ... more >>>

Michael Bauland, Martin Mundhenk, Thomas Schneider, Henning Schnoor, Ilka Schnoor, Heribert Vollmer

In a seminal paper from 1985, Sistla and Clarke showed

that the model-checking problem for Linear Temporal Logic (LTL) is either NP-complete

or PSPACE-complete, depending on the set of temporal operators used.

If, in contrast, the set of propositional operators is restricted, the complexity may decrease.

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