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ACL2 
 ACL2 is both a programming language in which you can model computer systems and a tool to help you prove properties of those models. ACL2 is a very large, multipurpose system. You can use it as a programming language, a specification language, a modeling language, a formal mathematical logic, or a semi-automatic theorem prover, just to name its most common uses. 
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Current Version:   2.3
 License Type: GPL 
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