A propositional modal logic of time intervals
Journal of the ACM (JACM)
Interval logics and their decision procedures: part I: an interval logic
Theoretical Computer Science
A Hardware Semantics Based on Temporal Intervals
Proceedings of the 10th Colloquium on Automata, Languages and Programming
Liveness and Fairness in Duration Calculus
CONCUR '94 Proceedings of the Concurrency Theory
A Formal Proof of the Deadline Driven Scheduler
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
Complete Proof Systems for First Order Interval Temporal Logic
LICS '95 Proceedings of the 10th Annual IEEE Symposium on Logic in Computer Science
Compositional reasoning about projected and infinite time
ICECCS '95 Proceedings of the 1st International Conference on Engineering of Complex Computer Systems
Timed traces and strand spaces
CSR'07 Proceedings of the Second international conference on Computer Science: theory and applications
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We outline the background and motivation for the use of interval logics and consider some initial attempts toward proof support and automation. The main focus, though, is on recent work on these subjects. We compare different proof theoretical formalisms, in particular a "classical" versus a "labelled" one. We discuss encodings of these in the generic proof assistant Isabelle and consider some examples which show that in some cases the labelled formalism gives an order of magnitude improvement in proof length compared to a classical approach.