@TECHREPORT\{IMM2001-0836, author = "T. M. Rasmussen", title = "A sequent calculus for signed interval logic", year = "2001", number = "", series = "IMM-TR-2001-6", institution = "Informatics and Mathematical Modelling, Technical University of Denmark, {DTU}", address = "Richard Petersens Plads, Building 321, {DK-}2800 Kgs. Lyngby", type = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/836-full.html", abstract = "We propose and discuss a complete sequent calculus formulation for Signed Interval Logic (SIL) with the chief purpose of improving proof support for {SIL} in practice. The main theoretical result is a simple characterization of the limit between decidability and undecidability of quantifier-free {SIL}. We present a mechanization of {SIL} in the generic proof assistant Isabelle and consider techniques for automated reasoning. Many of the results and ideas of this report are also applicable to traditional (non-signed) interval logic and, hence, to Duration Calculus." }