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\title{Interval Temporal Logic on Natural Numbers}
\author{David Trachtenherz}
\maketitle

\begin{abstract}
We introduce a theory of temporal logic operators using sets of
natural numbers as time domain, formalized in a shallow embedding
manner. The theory comprises special natural intervals (theory
IL\_Interval: open and closed intervals, continuous and modulo
intervals, interval traversing results), operators for shifting
intervals to left/right on the number axis as well as
expanding/contracting intervals by constant factors (theory
IL\_IntervalOperators.thy), and ultimately definitions and results for
unary and binary temporal operators on arbitrary natural sets (theory
IL\_TemporalOperators).
\end{abstract}

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