On n-equivalence of binary trees (Q579237)
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scientific article; zbMATH DE number 4014683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On n-equivalence of binary trees |
scientific article; zbMATH DE number 4014683 |
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On n-equivalence of binary trees (English)
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1987
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The paper contains a simple characterization of the binary trees which satisfy the same first-order sentences of quantifier depth n as the binary tree with one root whose branches all have length m (for all n and m). It follows immediately that, e.g., ``finiteness'' is not a first- order property of binary trees. The proof employs the Ehrenfeucht game.
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quantifier depth n-equivalence
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binary trees
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first-order sentences of quantifier depth n
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Ehrenfeucht game
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