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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
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coq
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.
Finally, if you are interested in actually writing code to do things, then you may want to check out Idris (and possibly the next generation built from lessons learned from it but still very much in development, Idris 2) because this language was designed from the ground up to be a practical tool in which to write programs while still being based fundamentally on dependent types and thus being very proof-centric, unlike Coq and Agda which are more specialized in being programming languages in which to express mathematics.
Of course, if you just want a programming language that is easy to learn and even more widely used but doesn't have a powerful type system because when push come to shove you don't actually care that much whether the code you've just written is correct or not, and in particular you won't mind if half-way through completing some long task your code crashes because you misspelled a variable name when making a change that you hadn't tested carefully enough because it seemed to be obviously fine at the time, there is always Python...
One of the oldest and most famous ones I am aware of is Coq (for Chicken, if you were wondering; it's a French thing to name programming languages after animals). In particular I recommend this free online book as an introduction to using Coq to blend programming and proofs.
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Change of Name: Coq –> The Rocq Prover
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Why Mathematical Proof Is a Social Compact
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Functional Programming in Coq
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Mark Petruska has requested 250000 Algos for the development of a Coq-avm library for AVM version 8
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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?