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We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show…

Logic in Computer Science · Computer Science 2017-06-28 Normann Decker , Peter Habermehl , Martin Leucker , Arnaud Sangnier , Daniel Thoma

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 2016-04-15 Mark Reynolds

Model checking linear-time properties expressed in first-order logic has non-elementary complexity, and thus various restricted logical languages are employed. In this paper we consider two such restricted specification logics, linear…

Logic in Computer Science · Computer Science 2019-03-14 Michael Benedikt , Rastislav Lenhardt , James Worrell

Probabilistic search algorithms, such as Monte Carlo Tree Search (MCTS), have proven very effective in solving sequential decision-making tasks under uncertainty. However, interpreting asymmetric search trees that incorporate bandit-based…

Human-Computer Interaction · Computer Science 2026-05-21 Siqi Lu , Mirsaleh Bahavarnia , Hiba Baroud , Yixuan Zhang , Hemant Purohit , Ayan Mukhopadhyay

Linear Temporal Logic (LTL) is a widely used specification framework for linear time properties of systems. The standard approach for verifying such properties is by transforming LTL formulae to suitable $\omega$-automata and then applying…

Formal Languages and Automata Theory · Computer Science 2017-10-19 Martin Sulzmann , Peter Thiemann

There have been several recent suggestions for tableau systems for deciding satisfiability in the practically important branching time temporal logic known as CTL*. In this paper we present a streamlined and more traditional tableau…

Logic in Computer Science · Computer Science 2013-07-18 Mark Reynolds

We introduce a new family of temporal logics designed to finely balance the trade-off between expressivity and complexity. Their key feature is the possibility of defining operators of a new kind that we call transformation operators. Some…

Logic in Computer Science · Computer Science 2024-09-09 Alessandro Ronca

Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

Linear Temporal Logic (LTL) is widely used for defining conditions on the execution paths of dynamic systems. In the case of dynamic systems that allow for nondeterministic evolutions, one has to specify, along with an LTL formula f, which…

Artificial Intelligence · Computer Science 2011-09-30 M. Pistore , M. Y. Vardi

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

For over a decade, researchers in formal methods tried to create formalisms that permit natural specification of systems and allow mathematical reasoning about their correctness. The availability of fully-automated reasoning tools enables…

Software Engineering · Computer Science 2016-11-17 D. Paun , M. Chechik

Temporal stream logic (TSL) extends LTL with updates and predicates over arbitrary function terms. This allows for specifying data-intensive systems for which LTL is not expressive enough. In the semantics of TSL, functions and predicates…

Logic in Computer Science · Computer Science 2022-01-26 Bernd Finkbeiner , Philippe Heim , Noemi Passing

In this paper, we propose a novel formalism called Probabilistic Obstruction Temporal Logic (POTL), which extends Obstruction Logic (OL) by incorporating probabilistic elements. POTL provides a robust framework for reasoning about the…

Logic in Computer Science · Computer Science 2024-11-04 Jean Leneutre , Vadim Malvone , James Ortiz

Various extensions of the temporal logic ATL have recently been introduced to express rich properties of multi-agent systems. Among these, ATLsc extends ATL with strategy contexts, while Strategy Logic has first-order quantification over…

Logic in Computer Science · Computer Science 2013-07-18 François Laroussinie , Nicolas Markey

Metric Temporal Logic (MTL) and Timed Propositional Temporal Logic (TPTL) are prominent extensions of Linear Temporal Logic to specify properties about data languages. In this paper, we consider the class of data languages of non-monotonic…

Logic in Computer Science · Computer Science 2014-05-23 Claudia Carapelle , Shiguang Feng , Oliver Fernández Gil , Karin Quaas

LTL3 is a multi-valued variant of Linear-time Temporal Logic for runtime verification applications. The semantic descriptions of LTL3 in previous work are given only in terms of the relationship to conventional LTL. Our approach, by…

Logic in Computer Science · Computer Science 2024-11-25 Rayhana Amjad , Rob van Glabbeek , Liam O'Connor

This article examines the interpretation of the LTL temporal operators over finite and infinite sequences. This is used as the basis for deriving a sound and complete axiomatization for Caret, a recent temporal logic for reasoning about…

Logic in Computer Science · Computer Science 2007-05-23 Riccardo Pucella

We propose extending Alternating-time Temporal Logic (ATL) by an operator <i refines-to G> F to express that agent i can distribute its powers to a set of sub-agents G in a way which satisfies ATL condition f on the strategic ability of the…

Logic in Computer Science · Computer Science 2014-04-04 Dimitar P. Guelev

Iterative abstraction refinement techniques are one of the most prominent paradigms for the analysis and verification of systems with large or infinite state spaces. This paper investigates the changes of truth values of system properties…

Logic in Computer Science · Computer Science 2026-01-14 Jakob Piribauer , Vinzent Zschuppe

ATL is a temporal logic geared towards the specification and verification of properties in multi-agents systems. It allows to reason on the existence of strategies for coalitions of agents in order to enforce a given property. In this…

Logic in Computer Science · Computer Science 2015-07-01 Francois Laroussinie , Nicolas Markey , Ghassan Oreiby