@CONFERENCE\{IMM2002-01783, author = "M. Fr{\"{a}}nzle", title = "Take it {NP-}easy: Bounded model construction for duration calculus", year = "2002", month = "sep", keywords = "Discrete-time Duration Calculus; Model construction; Bounded model construction; Complexity", pages = "245-264", booktitle = "International Symposium on Formal Techniques in Real-Time and Fault-Tolerant systems ({FTRTFT} 2002)", volume = "2469", series = "Lecture Notes in Computer Science", editor = "Ernst-Rüdiger Olderog and Werner Damm", publisher = "Springer Verlag", organization = "", address = "", url = "http://www.imm.dtu.dk/~mf/MF-TakeItNPEasy.ps.gz", abstract = "Following the recent successes of bounded model-checking, we reconsider the problem of constructing models of discrete-time Duration Calculus formulae. While this problem is known to be non-elementary when arbitrary length models are considered [Hansen94], it turns out to be only {NP-}complete when constrained to bounded length. As a corollary we obtain that model construction is in {NP} for the formulae actually encountered in case studies using Duration Calculus, as these have a certain small-model property. First experiments with a prototype implementation of the procedures demonstrate a competitive performance." }