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We study the succinctness of monadic second-order logic and a variety of monadic fixed point logics on trees. All these languages are known to have the same expressive power on trees, but some can express the same queries much more succinctly than others. For example, we show that, under some complexity theoretic assumption, monadic second-order logic is non-elementarily more succinct than monadic least fixed point logic, which in turn is non-elementarily more succinct than monadic datalog.
Succinctness...
We study the of monadic second-order logic and a variety
of monadic fixed point logics on trees. All these languages are known to have
the same expressive power on trees, but some can express the same
queries much more succinctly than others. For example, we show that, under
some complexity theoretic assumption, monadic second-order logic is
non-elementarily more succinct than monadic least fixed point logic,
which in turn is non-elementarily more succinct than monadic datalog.
Succinctness of...
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