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LTL is frequently used to express specifications in many domains such as embedded systems or business processes. Witnesses can help to understand why an LTL specification is satisfiable, and a number of approaches exist to make…

Logic in Computer Science · Computer Science 2013-06-13 Viktor Schuppan

Temporal Logic Model Checking is a verification method in which we describe a system, the model, and then we verify whether some properties, expressed in a temporal logic formula, hold in the system. It has many industrial applications. In…

Artificial Intelligence · Computer Science 2021-04-12 Paolo Liberatore , Marco Schaerf

The work concerns automatic generation of logical specifications from requirements models. Logical specifications obtained in such a way can be subjected to formal verification using deductive reasoning. Formal verification concerns…

Software Engineering · Computer Science 2014-02-11 Radoslaw Klimek

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent real-time extensions of Linear Temporal Logic (LTL). In general, the satisfiability checking problem for these extensions is undecidable when both the…

Logic in Computer Science · Computer Science 2021-09-07 Shankara Narayanan Krishna , Khushraj Madnani , Manuel Mazo , Paritosh K. Pandya

Propositional linear time temporal logic (LTL) is the standard temporal logic for computing applications and many reasoning techniques and tools have been developed for it. Tableaux for deciding satisfiability have existed since the 1980s.…

Logic in Computer Science · Computer Science 2016-09-15 Mark Reynolds

Test-Time Scaling (TTS) improves the reasoning performance of Large Language Models (LLMs) by allocating additional compute during inference. We conduct a structured survey of TTS methods and categorize them into sampling-based,…

Computation and Language · Computer Science 2025-06-06 Ho-Lam Chung , Teng-Yun Hsiao , Hsiao-Ying Huang , Chunerh Cho , Jian-Ren Lin , Zhang Ziwei , Yun-Nung Chen

Considering the challenges faced by large language models (LLMs) in logical reasoning and planning, prior efforts have sought to augment LLMs with access to external solvers. While progress has been made on simple reasoning problems,…

Computation and Language · Computer Science 2025-11-11 Yu Zhang , Hui-Ling Zhen , Zehua Pei , Yingzhao Lian , Lihao Yin , Mingxuan Yuan , Bei Yu

The problem of checking a logged event trace against a temporal logic specification arises in many practical cases. Unfortunately, known algorithms for an expressive logic like MTL (Metric Temporal Logic) do not scale with respect to two…

Software Engineering · Computer Science 2015-08-27 Marcello M. Bersani , Domenico Bianculli , Carlo Ghezzi , Srdan Krstic , Pierluigi San Pietro

We consider assortment optimization over a continuous spectrum of products represented by the unit interval, where the seller's problem consists of determining the optimal subset of products to offer to potential customers. To describe the…

Machine Learning · Statistics 2021-04-15 Yannik Peeters , Arnoud V. den Boer , Michel Mandjes

Runtime verification is an effective automated method for specification-based offline testing and analysis as well as online monitoring of complex systems. The specification language is often a variant of regular expressions or a popular…

Logic in Computer Science · Computer Science 2014-11-11 Ramy Medhat , Yogi Joshi , Borzoo Bonakdarpour , Sebastian Fischmeister

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek

We study the reasoning behavior of large language models (LLMs) under limited computation budgets. In such settings, producing useful partial solutions quickly is often more practical than exhaustive reasoning, which incurs high inference…

Computation and Language · Computer Science 2026-04-21 Xuanming Zhang , Shwan Ashrafi , Aziza Mirsaidova , Amir H. Rezaeian , Miguel Ballesteros , Lydia B. Chilton , Zhou Yu , Dan Roth

Computational trust mechanisms aim to produce trust ratings from both direct and indirect information about agents' behaviour. Subjective Logic (SL) has been widely adopted as the core of such systems via its fusion and discount operators.…

Cryptography and Security · Computer Science 2013-12-18 Federico Cerutti , Alice Toniolo , Nir Oren , Timothy J. Norman

Temporal logics are powerful tools that are widely used for the synthesis and verification of reactive systems. The recent progress on Large Language Models (LLMs) has the potential to make the process of writing such specifications more…

Machine Learning · Computer Science 2024-06-12 William Murphy , Nikolaus Holzer , Nathan Koenig , Leyi Cui , Raven Rothkopf , Feitong Qiao , Mark Santolucito

Metric Temporal Logic (MTL) is a prominent specification formalism for real-time systems. In this paper, we show that the satisfiability problem for MTL over finite timed words is decidable, with non-primitive recursive complexity. We also…

Logic in Computer Science · Computer Science 2017-01-11 Joel Ouaknine , James Worrell

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

We propose a validity preserving translation from a subset of epistemic Alternating-time Temporal Logic (ATL) to epistemic Computation Tree Logic (CTL). The considered subset of epistemic ATL is known to have the finite model property and…

Logic in Computer Science · Computer Science 2013-03-05 Dimitar P. Guelev

Specifying a Reinforcement Learning (RL) task involves choosing a suitable planning horizon, which is typically modeled by a discount factor. It is known that applying RL algorithms with a lower discount factor can act as a regularizer,…

Machine Learning · Computer Science 2020-07-07 Ron Amit , Ron Meir , Kamil Ciosek

We provide a dynamic programming algorithm for the monitoring of a fragment of Timed Propositional Temporal Logic (TPTL) specifications. This fragment of TPTL, which is more expressive than Metric Temporal Logic, is characterized by…

Logic in Computer Science · Computer Science 2016-12-12 Adel Dokhanchi , Bardh Hoxha , Cumhur Erkan Tuncali , Georgios Fainekos

We consider the optimization variant of the realizability problem for Prompt Linear Temporal Logic, an extension of Linear Temporal Logic (LTL) by the prompt eventually operator whose scope is bounded by some parameter. In the realizability…

Logic in Computer Science · Computer Science 2016-09-15 Leander Tentrup , Alexander Weinert , Martin Zimmermann
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