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We show that equivalence of deterministic top-down tree-to-string transducers is decidable, thus solving a long standing open problem in formal language theory. We also present efficient algorithms for subclasses: polynomial time for total…

Formal Languages and Automata Theory · Computer Science 2017-01-30 Helmut Seidl , Sebastian Maneth , Gregor Kemper

We introduce essential subtrees for terms (trees) and tree automata . There are some results concerning independent sets of subtrees and separable sets for a tree and an automaton.

Computational Complexity · Computer Science 2007-05-23 Slavcho Shtrakov

Tree ensembles, such as random forests and boosted trees, are renowned for their high prediction performance. However, their interpretability is critically limited due to the enormous complexity. In this study, we present a method to make a…

Machine Learning · Statistics 2017-03-01 Satoshi Hara , Kohei Hayashi

Alternation of forward and backward analyses is a standard technique in abstract interpretation of programs, which is in particular useful when we wish to prove unreachability of some undesired program states. The current state-of-the-art…

Programming Languages · Computer Science 2017-08-08 Alexey Bakhirkin , David Monniaux

This paper proposes a novel reinforcement learning (RL) algorithm using improved Monte Carlo tree search (IMCTS) formulation for discrete optimum design of truss structures. IMCTS with multiple root nodes includes update process, the best…

Artificial Intelligence · Computer Science 2024-08-08 Fu-Yao Ko , Katsuyuki Suzuki , Kazuo Yonekura

The prize-collecting Steiner tree problem PCSTP is a well-known generalization of the classical Steiner tree problem in graphs, with a large number of practical applications. It attracted particular interest during the latest (11th) DIMACS…

Optimization and Control · Mathematics 2018-11-26 Daniel Rehfeldt , Thorsten Koch

Verification conditions (VCs) are logical formulas whose satisfiability guarantees program correctness. We consider VCs in the form of constrained Horn clauses (CHC) which are automatically generated from the encoding of (an interpreter of)…

Logic in Computer Science · Computer Science 2016-07-18 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

In plant phenotyping, accurate trait extraction from 3D point clouds of trees is still an open problem. For automatic modeling and trait extraction of tree organs such as blossoms and fruits, the semantically segmented point cloud of a tree…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Lukas Meyer , Andreas Gilson , Oliver Scholz , Marc Stamminger

The AutoML task consists of selecting the proper algorithm in a machine learning portfolio, and its hyperparameter values, in order to deliver the best performance on the dataset at hand. Mosaic, a Monte-Carlo tree search (MCTS) based…

Machine Learning · Computer Science 2019-10-09 Herilalaina Rakotoarison , Marc Schoenauer , Michèle Sebag

We introduce tree stack automata as a new class of automata with storage and identify a restricted form of tree stack automata that recognises exactly the multiple context-free languages.

Formal Languages and Automata Theory · Computer Science 2016-09-26 Tobias Denkinger

Computing an optimal classification tree that provably maximizes training performance within a given size limit, is NP-hard, and in practice, most state-of-the-art methods do not scale beyond computing optimal trees of depth three.…

Machine Learning · Computer Science 2025-01-15 Catalin E. Brita , Jacobus G. M. van der Linden , Emir Demirović

Infinite words, also known as streams, hold significant interest in computer science and mathematics, raising the natural question of how their complexity should be measured. We introduce cellular automaton reducibility as a measure of…

Formal Languages and Automata Theory · Computer Science 2026-01-30 Markel Zubia , Herman Geuvers

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

Trees are fundamental data structure for many areas of computer science and system engineering. In this report, we show how to ensure eventual consistency of optimistically replicated trees. In optimistic replication, the different replicas…

Data Structures and Algorithms · Computer Science 2012-01-10 Stéphane Martin , Mehdi Ahmed-Nacer , Pascal Urso

An automaton is universal if it accepts every possible input. We study the notion of u-universality, which asserts that the automaton accepts every input starting with u. Universality and u-universality are both EXPTIME-hard for…

Formal Languages and Automata Theory · Computer Science 2012-05-15 Véronique Bruyère , Marc Ducobu , Olivier Gauwin

Despite decades of research, there are still a number of concepts commonly found in software programs that are considered challenging for verification: among others, such concepts include concurrency, and the compositional analysis of…

Logic in Computer Science · Computer Science 2013-02-19 Philipp Rümmer , Hossein Hojjat , Viktor Kuncak

We present a constraint model for the problem of producing a tree decomposition of a graph. The inputs to the model are a simple graph G, the number of nodes in the desired tree decomposition and the maximum cardinality of each node in that…

Discrete Mathematics · Computer Science 2019-08-08 Benjamin Bumpus , Patrick Prosser , James Trimble

Rank-constrained optimization problems have received an increasing intensity of interest recently, because many optimization problems in communications and signal processing applications can be cast into a rank-constrained optimization…

Information Theory · Computer Science 2015-05-20 Hao Yu , Vincent K. N. Lau

We introduce a model of register automata over infinite trees with extrema constraints. Such an automaton can store elements of a linearly ordered domain in its registers, and can compare those values to the suprema and infima of register…

Logic in Computer Science · Computer Science 2023-06-22 Szymon Toruńczyk , Thomas Zeume

Determining whether a given program terminates is the quintessential undecidable problem. Algorithms for termination analysis are divided into two groups: (1) algorithms with strong behavioral guarantees that work in limited circumstances…

Programming Languages · Computer Science 2021-09-16 Shaowei Zhu , Zachary Kincaid
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