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A Comparison of Tree Transductions Defined by Monadic Second Order Logic and by attribute Grammars

机译:单子二阶逻辑和属性文法定义的树转导比较

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Two well-known formalism for the specification and computation of tree transduction are compared f the Mso graph transducer and the attributed tree transducer with look-ahead, respectively. The Mso graph transducer, restricted to trees, uses monadic second order logic to define the output tree in terms of the input tree. The attributed tree transducer is an attribute grammar in which all attributes are trees; it is preceded by a look-ahead phase in which all attributes have finitely many values. The main result is that these formalisms are equivalent, i.c., that the attributed tree transducer with look-ahead is an appropriate implementation model for the tree transductions that are specifiable in Mso logic. This result holds for Mso graph transducers that produce trees with shared subtrees. If no sharing is allowed, the attributed tree transducer satisfies the sing1e use restriction.
机译:分别比较了Mso图换能器和属性树换能器的两种用于树型转换的规范和计算的著名形式。 Mso图形转换器仅限于树,它使用二阶二阶逻辑来根据输入树定义输出树。属性树转换器是一种属性文法,其中所有属性都是树。在其之前是预视阶段,在该阶段中,所有属性都具有有限的多个值。主要结果是这些形式主义是等效的,即,具有前瞻性的归因树传感器是Mso逻辑中可指定的树转导的合适实现模型。这个结果适用于Mso图换能器,该换能器产生带有共享子树的树。如果不允许共享,则属性树换能器满足单个使用限制。

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