Measuring small separations between two optical sources, either in space or time, constitutes an important metrological challenge as standard intensity-only measurements fail for vanishing separations. Contrarily, it has been established that appropriate coherent mode projections can appraise arbitrarily with quantum-limited precision. However, the question of whether coherence brings any advan...

We present a new approach to reasoning in propositional linear-time temporal logic (PLTL). The method is based on the simplified temporal resolution calculus. We prove that the search for premises to apply the rules of simplified temporal resolution can be re-formulated as a search for minimal unsatisfiable subsets (MUS) in a set of classical propositional clauses. This reformulation reduces a ...

In this paper, a resolution method for propositional temporal logic is presented. Temporal formulae, incorporating both past-time and future-time temporal operators, are converted to Separated Normal Form (SNF), then both non-temporal and temporal resolution rules are applied. The resolution method is based on classical resolution, but incorporates a temporal resolution rule that can be impleme...