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Algorithms which compute the coarsest simulation preorder are generally designed on Kripke structures. Only in a second time they are extended to labelled transition systems. By doing this, the size of the alphabet appears in general as a…

Formal Languages and Automata Theory · Computer Science 2013-01-09 Gérard Cécé

A number of algorithms for computing the simulation preorder (and equivalence) on Kripke structures are available. Let Sigma denote the state space, -> the transition relation and Psim the partition of Sigma induced by simulation…

Logic in Computer Science · Computer Science 2013-07-30 Francesco Ranzato

Compute the coarsest simulation preorder included in an initial preorder is used to reduce the resources needed to analyze a given transition system. This technique is applied on many models like Kripke structures, labeled graphs, labeled…

Logic in Computer Science · Computer Science 2017-09-07 Gérard Cécé

We investigate means of efficient computation of the simulation relation over symbolic finite automata (SFAs), i.e., finite automata with transitions labeled by predicates over alphabet symbols. In one approach, we build on the algorithm by…

Logic in Computer Science · Computer Science 2018-07-30 Lukáš Holík , Ondřej Lengál , Juraj Síč , Margus Veanes , Tomáš Vojnar

The well known Hopcroft's algorithm to minimize deterministic complete automata runs in $O(kn\log n)$-time, where $k$ is the size of the alphabet and $n$ the number of states. The main part of this algorithm corresponds to the computation…

Formal Languages and Automata Theory · Computer Science 2013-02-15 Gérard Cece

Test-Time Scaling (TTS) is an important method for improving the performance of Large Language Models (LLMs) by using additional computation during the inference phase. However, current studies do not systematically analyze how policy…

Computation and Language · Computer Science 2025-02-11 Runze Liu , Junqi Gao , Jian Zhao , Kaiyan Zhang , Xiu Li , Biqing Qi , Wanli Ouyang , Bowen Zhou

Nonequilibrium time evolution of large quantum systems is a strong candidate for quantum advantage. Variational quantum algorithms have been put forward for this task, but their quantum optimization routines suffer from trainability and…

Quantum Physics · Physics 2024-07-12 Refik Mansuroglu , Felix Fischer , Michael J. Hartmann

Large language models (LLMs) have demonstrated remarkable capabilities in code generation and structured reasoning; however, their performance often degrades on complex tasks that require consistent multi-step planning. Recent work has…

Machine Learning · Computer Science 2025-08-11 Fei Xu Yu , Gina Adam , Nathaniel D. Bastian , Tian Lan

Many state-of-the-art Segment Routing (SR) Traffic Engineering (TE) algorithms rely on Linear Program (LP)-based optimization. However, the poor scalability of the latter and the resulting high computation times impose severe restrictions…

Networking and Internet Architecture · Computer Science 2024-08-27 Alexander Brundiers , Timmy Schüller , Nils Aschenbruck

This chapter explores advancements in decoding strategies for large language models (LLMs), focusing on enhancing the Locally Typical Sampling (LTS) algorithm. Traditional decoding methods, such as top-k and nucleus sampling, often struggle…

Computation and Language · Computer Science 2025-06-12 Jaydip Sen , Saptarshi Sengupta , Subhasis Dasgupta

Simulating the time evolution of a physical system at quantum mechanical levels of detail -- known as Hamiltonian Simulation (HS) -- is an important and interesting problem across physics and chemistry. For this task, algorithms that run on…

The problem of constructing optimal factoring automata arises in the context of unification factoring for the efficient execution of logic programs. Given an ordered set of $n$ strings of length $m$, the problem is to construct a trie-like…

Data Structures and Algorithms · Computer Science 2024-04-04 Thomas Erlebach , Kleitos Papadopoulos

Strong and weak simulation relations have been proposed for Markov chains, while strong simulation and strong probabilistic simulation relations have been proposed for probabilistic automata. However, decision algorithms for strong and weak…

Logic in Computer Science · Computer Science 2015-07-01 Lijun Zhang , Holger Hermanns , Friedrich Eisenbrand , David N. Jansen

Test-Time Scaling (TTS) improves large language models (LLMs) by allocating additional computation during inference, typically through parallel, sequential, or hybrid scaling. However, prior studies often assume fixed collaboration…

Machine Learning · Computer Science 2025-11-04 Fali Wang , Jihai Chen , Shuhua Yang , Runxue Bao , Tianxiang Zhao , Zhiwei Zhang , Xianfeng Tang , Hui Liu , Qi He , Suhang Wang

In this work, we present the \texttt{LLM ORDER BY} semantic operator as a logical abstraction and conduct a systematic study of its physical implementations. First, we propose several improvements to existing semantic sorting algorithms and…

Conventional operating system scheduling algorithms are largely content-ignorant, making decisions based on factors such as latency or fairness without considering the actual intents or semantics of processes. Consequently, these algorithms…

Machine Learning · Computer Science 2025-06-17 Wenyue Hua , Dujian Ding , Yile Gu , Yujie Ren , Kai Mei , Minghua Ma , William Yang Wang

Register Transfer Level(RTL) code optimization is crucial for achieving high performance and low power consumption in digital circuit design. However, traditional optimization methods often rely on manual tuning and heuristics, which can be…

Software Engineering · Computer Science 2025-07-23 Zhihao Xu , Bixin Li , Lulu Wang

The tree automaton completion is an algorithm used for proving safety properties of systems that can be modeled by a term rewriting system. This representation and verification technique works well for proving properties of infinite systems…

Logic in Computer Science · Computer Science 2010-03-26 Benoît Boyer , Thomas Genet

We present an efficient algorithm to reduce the size of nondeterministic tree automata, while retaining their language. It is based on new transition pruning techniques, and quotienting of the state space w.r.t. suitable equivalences. It…

Formal Languages and Automata Theory · Computer Science 2016-01-07 Ricardo Almeida , Lukáš Holík , Richard Mayr

Test-Time Scaling (TTS) has proven effective in improving the performance of Large Language Models (LLMs) during inference. However, existing research has overlooked the efficiency of TTS from a latency-sensitive perspective. Through a…

Computation and Language · Computer Science 2025-09-15 Zili Wang , Tianyu Zhang , Haoli Bai , Lu Hou , Xianzhi Yu , Wulong Liu , Shiming Xiang , Lei Zhu
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