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New model for pattern-based tree transformations offers decidable type-checking

By PulseAugur Editorial · [1 sources] ·

Researchers have introduced a new model for pattern-based tree transformations, which uses pairs of source and target patterns to define transformations. While the set of expressions matching the source pattern may not be a regular tree language, the proposed model allows for transformations to be represented finitely. A key contribution is the demonstration that the type-checking problem for these transformations is decidable, meaning it's possible to determine if applying a transformation preserves a given regular property of trees. This decision procedure is achieved by reducing the problem to the emptiness problem of alternating tree automata. AI

IMPACT Introduces a new theoretical framework for tree transformations with implications for symbolic manipulation and potentially AI reasoning systems.

RANK_REASON The item is an academic paper published on arXiv detailing a new theoretical model and its decidability properties. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New model for pattern-based tree transformations offers decidable type-checking

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The item is an academic paper published on arXiv detailing a new theoretical model and its decidability properties. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.CL TIER_1 English(EN) · C. Aiswarya, Sahil Mhaskar, M. Praveen ·

    Type-Checking for Pattern-Based Tree Transformations

    arXiv:2610.11337v1 Announce Type: cross Abstract: We introduce and study pattern-based tree transformations. As an illustrating example, consider a source pattern $(x \cdot y) + (x \cdot z)$ and a target pattern $x \cdot (y + z)$ as a pair. This source pattern matches any express…

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