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On Distributive Fixed-Point Expressions

Helmut SeidlDamian Niwiński — 2010

RAIRO - Theoretical Informatics and Applications

For every fixed-point expression of alternation-depth , we construct a new fixed-point expression of alternation-depth 2 and size 𝒪 ( r · | e | ) . Expression is equivalent to whenever operators are distributive and the underlying complete lattice has a co-continuous least upper bound. We alternation-depth but also w.r.t. the increase in size of the resulting expression.

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