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Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
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Are there any useful Turing-incomplete programming languages? Probably yes. Definitely no general purpose one, but there ought to some domain-specific programming language which is not TC. Depending on the definition, some present Coq to meet the criteria (apparently you can write a C compiler in it!)
NOTE:
The number of mentions on this list indicates mentions on common posts plus user suggested alternatives.
Hence, a higher number means a more popular project.
Related posts
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- How are people like Andrew Wiles and Grigori Perelman able to work on popular problems for years without others/the research community discovering the same breakthroughs? Is it just luck?