Safety analysis of timing properties in real-time systems
IEEE Transactions on Software Engineering - Special issue on reliability and safety in real-time process control
Real-time interval logic for reasoning about executions of real-time programs
TAV3 Proceedings of the ACM SIGSOFT '89 third symposium on Software testing, analysis, and verification
TRIO: A logic language for executable specifications of real-time systems
Journal of Systems and Software - On the role of language in programming
Specifying real-time properties with metric temporal logic
Real-Time Systems
A propositional modal logic of time intervals
Journal of the ACM (JACM)
Artificial Intelligence - Special issue on knowledge representation
The benefits of relaxing punctuality
Journal of the ACM (JACM)
Maintaining knowledge about temporal intervals
Communications of the ACM
An Adequate First Order Interval Logic
COMPOS'97 Revised Lectures from the International Symposium on Compositionality: The Significant Difference
ProCoS Proceedings of the Third International Symposium Organized Jointly with the Working Group Provably Correct Systems on Formal Techniques in Real-Time and Fault-Tolerant Systems
ESTL: A Temporal Logic for Events and States
ICATPN '98 Proceedings of the 19th International Conference on Application and Theory of Petri Nets
Quantitative Temporal Reasoning
CAV '90 Proceedings of the 2nd International Workshop on Computer Aided Verification
From Duration Calculus To Linear Hybrid Automata
Proceedings of the 7th International Conference on Computer Aided Verification
Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic
Logic of Programs, Workshop
Logics and Models of Real Time: A Survey
Proceedings of the Real-Time: Theory in Practice, REX Workshop
Verification via Digitized Models of Real-Time Hybrid Systems
APSEC '96 Proceedings of the Third Asia-Pacific Software Engineering Conference
Using TILCO for Specifying Real-Time Systems
ICECCS '96 Proceedings of the 2nd IEEE International Conference on Engineering of Complex Computer Systems
Duration Calculus: A Formal Approach to Real-Time Systems (Monographs in Theoretical Computer Science. an Eatcs Seris)
On the Decidability of Metric Temporal Logic
LICS '05 Proceedings of the 20th Annual IEEE Symposium on Logic in Computer Science
LICS '07 Proceedings of the 22nd Annual IEEE Symposium on Logic in Computer Science
The temporal logic of programs
SFCS '77 Proceedings of the 18th Annual Symposium on Foundations of Computer Science
Temporal prepositions and their logic
Artificial Intelligence
Deciding an interval logic with accumulated durations
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
On sampling abstraction of continuous time logic with durations
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
An Event-Based Fragment of First-Order Logic over Intervals
Journal of Logic, Language and Information
Bounded validity checking of interval duration logic
TACAS'05 Proceedings of the 11th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Logics for Real Time: Decidability and Complexity
Fundamenta Informaticae - Continuous Time Paradigms in Logic and Automata
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Punctual timing constraints are important in formal modelling of safety-critical real-time systems. But they are very expensive to express in dense time. In most cases, punctuality and dense-time lead to undecidability. Efforts have been successful to obtain decidability; but the results are either non-primitive recursive or nonelementary. In this paper we propose a duration logic which can express quantitative temporal constraints and punctuality timing constraints over continuous intervals and has a reasonable complexity. Our logic allows most specifications that are interesting in practice, and retains punctuality. It can capture the semantics of both events and states, and incorporates the notions duration and accumulation. We call this logic ESDL (the acronym stands for Event- and State-based Duration Logic). We show that the satisfiability problem is decidable, and the complexity of the satisfiability problem is NEXPTIME. ESDL is one of a few decidable interval temporal logics with metric operators. Through some case studies, we also show that ESDL can specify many safety-critical real-time system properties which were previously specified by undecidable interval logics or their decidable reductions based on some abstractions.