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In signed k-SAT problems, one fixes a set M and a set $\mathcal S$ of subsetsof M, and is given a formula consisting of a disjunction of m clauses, each ofwhich is a conjunction of k literals. Each literal is of the form "$x \in S$",where $S \in \mathcal S$, and x is one of n variables.  For Interval-SAT (iSAT), M is an ordered set and $\mathcal S$ the set ofintervals in M.  We propose an algorithm for 3-iSAT, and analyze it on uniformly randomformulas. The algorithm follows the Unit Clause paradigm, enhanced by a (verylimited) backtracking option. Using Wormald's ODE method, we prove that, if$m/n \le 2.3$, with high probability, our algorithm succeeds in finding anassignment of values to the variables satisfying the formula.

An algorithm for random signed 3-SAT with Intervals