Solving the weighted HOM-problem with the help of unambiguity

AT Nász - arXiv preprint arXiv:2309.02761, 2023 - arxiv.org
The HOM-problem, which asks whether the image of a regular tree language under a tree
homomorphism is again regular, is known to be decidable by [Godoy, Gim\'enez …

Parameter reduction and automata evaluation for grammar-compressed trees

M Lohrey, S Maneth, M Schmidt-Schauß - Journal of Computer and System …, 2012 - Elsevier
Trees can be conveniently compressed with linear straight-line context-free tree grammars.
Such grammars generalize straight-line context-free string grammars which are widely used …

Weighted tree automata with constraints

A Maletti, AT Nász - Theory of Computing Systems, 2024 - Springer
The HOM problem, which asks whether the image of a regular tree language under a given
tree homomorphism is again regular, is known to be decidable [Godoy & Giménez: The …

Weighted HOM-problem for nonnegative integers

A Maletti, AT Nász, E Paul - arXiv preprint arXiv:2305.04117, 2023 - arxiv.org
The HOM-problem asks whether the image of a regular tree language under a given tree
homomorphism is again regular. It was recently shown to be decidable by Godoy, Gim\'enez …

Restricting Tree Grammars with Term Rewriting

J Bessai, L Czajka, F Laarmann… - … Conference on Formal …, 2022 - drops.dagstuhl.de
We investigate the problem of enumerating all terms generated by a tree-grammar which are
also in normal form with respect to a set of directed equations (rewriting relation). To this end …

The HOM problem is EXPTIME-complete

C Creus, A Gascón, G Godoy… - 2012 27th Annual IEEE …, 2012 - ieeexplore.ieee.org
The HOM problem questions whether the image of a given regular tree language through a
given tree homomorphism is also regular. Decidability of HOM is an important theoretical …

Automata on infinite trees with equality and disequality constraints between siblings

A Carayol, C Löding, O Serre - Proceedings of the 31st Annual ACM …, 2016 - dl.acm.org
This article is inspired by two works from the early 90s. The first one is by Bogaert and Tison
who considered a model of automata on finite ranked trees where one can check equality …

Dyna 2: Towards a general weighted logic language

NW Filardo - 2017 - jscholarship.library.jhu.edu
We investigate the design of an expressive, purely-declarative, weighted logic programming
language, Dyna. Dyna is a decade-plus effort in pushing the boundaries of declarative …

Bottom-up tree automata with term constraints

A Reuß, H Seidl - International Conference on Logic for Programming …, 2010 - Springer
We introduce bottom-up tree automata with equality and disequality term constraints. These
constraints are more expressive than the equality and disequality constraints between …

The Weighted HOM-Problem Over Fields

AT Nász - International Conference on Current Trends in Theory …, 2024 - Springer
The HOM-problem, which asks whether the image of a regular tree language under a tree
homomorphism is again regular, is known to be decidable. In this paper, we prove the …