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Real-Time Logics: Complexity and Expressiveness

R. Alur, T.A. Henzinger
1993 Information and Computation  
We thank Zohar and Amir Pnueli for helpful discussions. Manna for his guidance, and David Dill  ...  real-time logics.  ...  For example, the real-time (branching-time) logics considered in [AD901 and [Le90] use the set of real numbers to model time, and hence are undecidable.  ... 
doi:10.1006/inco.1993.1025 fatcat:mifm3xsdfzelzi4ja5bf4eusbq

Timed Modal Logics for Real-Time Systems

Patricia Bouyer, Franck Cassez, François Laroussinie
2010 Journal of Logic, Language and Information  
We address several issues related to the above-mentioned logics: complexity of model-checking, expressive power, and application to control problems.  ...  In this paper, a timed modal logic Lc is presented for the specification and verification of real-time systems. Several important results for Lc are discussed.  ...  Special thanks to Luca Aceto, Béatrice Bérard and Kim Guldstrand Larsen for all the discussions about timed automata and timed modal logics.  ... 
doi:10.1007/s10849-010-9127-4 fatcat:4lo3ukj6hbfqhhfa6s6iunjwai

Axioms for real-time logics

P.-Y. Schobbens, J.-F. Raskin, T.A. Henzinger
2002 Theoretical Computer Science  
This paper presents a complete axiomatization of two decidable propositional real-time linear temporal logics: Event Clock Logic (EventClockTL) and Metric Interval Temporal Logic with past (MetricIntervalTL  ...  Our proof is structured to yield axiomatizations also for interesting fragments of these logics, such as the linear temporal logic of the real numbers (TLR).  ...  Models and logics for real time Models As time domain T, we choose the non-negative real numbers R ¿0 = {x ∈ R|x¿0}.  ... 
doi:10.1016/s0304-3975(00)00308-x fatcat:j2t437tyg5ftrkgv3z3amqq4lq

It's about time: Real-time logics reviewed [chapter]

Thomas A. Henzinger
1998 Lecture Notes in Computer Science  
We summarize and reorganize some of the last decade's research on real-time extensions of temporal logic.  ...  In particular, we nd that a great deal of real-time veri cation can be performed in polynomial space, but also that considerable care must be exercised in order to keep the real-time veri cation problem  ...  , and Rajeev Alur for uncountable hours of research and discussion on the topic of real-time veri cation.  ... 
doi:10.1007/bfb0055640 fatcat:bo67724m4nf5rgevaqp6ejhvcu

Axioms for real-time logics [chapter]

J. -F. Raskin, P. -Y. Schobbens, T. A. Henzinger
1998 Lecture Notes in Computer Science  
This paper presents a complete axiomatization of two decidable propositional real-time linear temporal logics: Event Clock Logic (EventClockTL) and Metric Interval Temporal Logic with past (MetricIntervalTL  ...  Our proof is structured to yield axiomatizations also for interesting fragments of these logics, such as the linear temporal logic of the real numbers (TLR).  ...  Models and logics for real time Models As time domain T, we choose the non-negative real numbers R ¿0 = {x ∈ R|x¿0}.  ... 
doi:10.1007/bfb0055625 fatcat:jstank2yizdixgrdxkjgzsthdm

Real-time and Probabilistic Temporal Logics: An Overview [article]

Savas Konur
2011 arXiv   pre-print
Although numerous logics have been introduced for the formal specification of real-time and complex systems, an up to date comprehensive analysis of these logics does not exist in the literature.  ...  In this paper we analyse real-time and probabilistic temporal logics which have been widely used in this field.  ...  This makes TILCO a very expressive logic, and very useful to specify complex behaviours of real-time systems.  ... 
arXiv:1005.3200v3 fatcat:xhrrcy26bzeehg7wqvjfikm26e

Complex Markov Logic Networks: Expressivity and Liftability [article]

Ondrej Kuzelka
2020 arXiv   pre-print
We introduce complex MLNs, which use complex-valued weights, and we show that, unlike standard MLNs with real-valued weights, complex MLNs are fully expressive.  ...  We study expressivity of Markov logic networks (MLNs).  ...  Acknowledgements This work was supported by Czech Science Foundation project "Generative Relational Models" (20-19104Y), the OP VVV project CZ.02.1.01/0.0/0.0/16 019/0000765 "Research Center for Informatics" and  ... 
arXiv:2002.10259v2 fatcat:yhp4qxrx3zg2jfqkidkajqsm3q

: A distributed real-time logic language

M. Díaz, B. Rubio, J.M. Troya
1997 Computer languages  
This paper presents a new language that integrates the real-time and distributed paradigms within the framework of a concurrent logic language.  ...  A new execution model for concurrent logic languages is presented, which enables efficient distributed execution and real-time control.  ...  Real-time control Concurrent logic languages do not provide any mechanism to express real-time constraints in the execution of processes.  ... 
doi:10.1016/s0096-0551(97)00011-8 fatcat:swxbv76qb5hozpwkzx3w4tsxa4

Complexity and expressive power of logic programming

Evgeny Dantsin, Thomas Eiter, Georg Gottlob, Andrei Voronkov
2001 ACM Computing Surveys  
This paper surveys various complexity and expressiveness results on different forms of logic programming.  ...  These include logic programming with different forms of negation, disjunctive logic programming, logic programming with equality, and constraint logic programming.  ...  Acknowledgments We would like to thank Jan van den Bussche, Michael Gelfond, Leonid Libkin, Domenico Saccá, Moshe Vardi, and our colleagues for comments on a previous version of this paper and suggestions  ... 
doi:10.1145/502807.502810 fatcat:534rdwm6fbdmtn6ghdsntvca5e

Logic Model Checking of Time-Periodic Real-Time Systems

Mihai Florian, Ed Gamble, Gerard Holzmann
2012 Infotech@Aerospace 2012  
In this paper we report on the work we performed to extend the logic model checker SPIN with builtin support for the verification of periodic, real-time embedded software systems, as commonly used in aircraft  ...  , automobiles, and spacecraft.  ...  The authors are grateful to NASA and the NHTSA for presenting us with a challenging and interesting application of static analysis and logic model checking techniques.  ... 
doi:10.2514/6.2012-2607 dblp:conf/itaero/FlorianGH12 fatcat:avczh5fgwzaatm6urv46gjwwdm

An Expressive Temporal Logic for Real Time [chapter]

Yoram Hirshfeld, Alexander Rabinovich
2006 Lecture Notes in Computer Science  
the next unit of time, and its past counterpart ← − C n, which says that X has happened at least n times in the last unit of time.  ...  We prove that this temporal logic is as expressive as can be hoped for; all the modalities that can be expressed in a strong natural decidable predicate logic framework, are expressible in this temporal  ...  ) and over the real line (continuous time).  ... 
doi:10.1007/11821069_43 fatcat:kujrjneynvhvbdujtwnedpnjba

Linear-time Temporal Logic with Team Semantics: Expressivity and Complexity [article]

Jonni Virtema, Jana Hofmann, Bernd Finkbeiner, Juha Kontinen, Fan Yang
2021 arXiv   pre-print
We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL).  ...  We relate the expressivity of TeamLTL to logics for hyperproperties obtained by extending LTL with trace and propositional quantifiers (HyperLTL and HyperQPTL).  ...  An interesting avenue for future work is also to explore team semantics of more expressive logics than LTL such as linear time µ-calculus, or branching time logics such as CTL * and the full modal µ-calculus  ... 
arXiv:2010.03311v3 fatcat:b7tfjxoipjavpizjrekbk5ruee

Three Variables Suffice for Real-Time Logic [chapter]

Timos Antonopoulos, Paul Hunter, Shahab Raza, James Worrell
2015 Lecture Notes in Computer Science  
A natural framework for real-time specification is monadic first-order logic over the structure (R, <, +1)-the ordered real line with unary +1 function.  ...  On the other hand we exhibit a countable dense linear order (E, <) and a bijection f : E → E such that (E, <, f ) does not have the k-variable property for any k.  ...  expressively complete temporal logics.  ... 
doi:10.1007/978-3-662-46678-0_23 fatcat:fa3bmsdxwjedfdth32skekvmuu

Logics and models of real time: A survey [chapter]

Rajeev Alur, Thomas A. Henzinger
1992 Lecture Notes in Computer Science  
We survey logic-based and automata-based languages and techniques for the speci cation and veri cation of real-time systems.  ...  In particular, we discuss three syntactic extensions of temporal logic: time-bounded operators, freeze quanti cation, and time variables.  ...  These observations suggest a more thorough study of real-numbered time in the directions taken by M I T L and timed automata, rather than a surrender to ctitious-clock m o d e l s .  ... 
doi:10.1007/bfb0031988 fatcat:6j25elltxzbofjq7ztnpzhbi6i

Specifying Real-Time Systems in Rewriting Logic

Peter Csaba Ölveczky, José Meseguer
1996 Electronical Notes in Theoretical Computer Science  
We also show how a wide range of real-time and hybrid system models can be naturally expressed and are uni ed within our approach.  ...  This work investigates the suitability of rewriting logic as a semantic framework for modeling real-time and hybrid systems.  ...  We cordially thank Saddek Bensalem, Manuel Clavel, Piotr Kosiuczenko, Narciso Mart -Oliet, Sigurd Meldal, Joseph Sifakis, Carolyn Talcott, and Martin Wirsing for their comments and suggestions, that have  ... 
doi:10.1016/s1571-0661(04)00044-1 fatcat:apsdwr6bsbdh7bcjihus6mumzy
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