The construction of a proof for unsatisfiability is less costly than the construction of a ranking function. We present a new approach to LTL software model checking (i.e., to statically analyze a program and verify a temporal property from the full class of LTL including general liveness properties) which aims at exploiting this fact. The idea is to select finite prefixes of a path and check these for infeasibility before considering the full infinite path. We have implemented a tool which demonstrates the practical potential of the approach. In particular, the tool can verify several benchmark programs for a liveness property just with finite prefixes (and thus without the construction of a single ranking function).

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