Abstract
Regular model checking is a form of symbolic model checking for parameterized and infinite-state systems whose states can be represented as words of arbitrary length over a finite alphabet, in which regular sets of words are used to represent sets of states. We present LTL(MSO), a combination of the logics MSO and LTL as a natural logic for expressing temporal properties to be verified in regular model checking. LTL(MSO) is a two-dimensional modal logic, where MSO is used for specifying properties of system states and transitions, and LTL is used for specifying temporal properties. In addition, the first-order quantification in MSO can be used to express properties parameterized on a position or process. We give a technique for model checking LTL(MSO), which is adapted from the automata-theoretic approach: a formula is translated to a (Büchi) transducer with a regular set of accepting states, and regular model checking techniques are used to search for models. We have implemented the technique and show its application to a number of parameterized algorithms from the literature.
This work was supported in part by the European Commission (FET project ADVANCE, contract No IST-1999-29082), and by the the Swedish Research Council (http://www.vr.se/).
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Abdulla, P.A., Jonsson, B., Nilsson, M., d’Orso, J., Saksena, M. (2004). Regular Model Checking for LTL(MSO). In: Alur, R., Peled, D.A. (eds) Computer Aided Verification. CAV 2004. Lecture Notes in Computer Science, vol 3114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27813-9_27
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