Spot is a C++14 library for manipulating omega-automata and LTL/PSL formulas. It offers a set of bricks to experiment with and develop your own model checker, or do other formulas/automata transformations. It comes with a dozen command-line utilities, and Python bindings.
SPIN is a model checker for verifying the correctness of concurrent software models. Systems to be verified are described in Promela (Process Meta Language), which supports modeling of asynchronous distributed algorithms as non-deterministic automata (SPIN stands for "Simple Promela Interpreter").
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