Coq
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Isabelle
Idris
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Coq CeylonBased on our record, Coq seems to be more popular. It has been mentiond 46 times since March 2021. We are tracking product recommendations and mentions on various public social media platforms and blogs. They can help you identify which product is more popular and what people think of it.
Are those more important than, say: - Proven with Coq, a formal proof management system: https://coq.inria.fr/ See in the real world: https://aws.amazon.com/security/provable-security/ And check out Computer-Aided Verification (CAV). - Source: Hacker News / 6 months ago
Dafny and Whiley are two examples with explicit verification support. Idris and other dependently typed languages should all be rich enough to express the required predicate but might not necessarily be able to accept a reasonable implementation as proof. Isabelle, Lean, Coq, and other theorem provers definitely can express the capability but aren't going to churn out much in the way of executable programs;... - Source: Hacker News / 10 months ago
Still, there are many useful tools based on these ideas, used by programmers and mathematicians alike. What you describe sounds rather like Datalog (e.g. Soufflé Datalog), where you supply some rules and an initial fact, and the system repeatedly expands out the set of facts until nothing new can be derived. (This has to be finite, if you want to get anywhere.) In Prolog (e.g. SWI Prolog) you also supply a set of... Source: 10 months ago
Information about the Coq proof assistant: https://coq.inria.fr/ , https://en.wikipedia.org/wiki/Coq. Source: 12 months ago
This type of thing can help you formally verify code. So, if your proof is correct, and your description of the (language/CPU) is correct, you can prove the code does what you think it does. Formal proof systems are still growing up, though, and they are still pretty hard to use. See Coq for an introduction: https://coq.inria.fr/. - Source: Hacker News / 12 months ago
Agda - Agda is a dependently typed functional programming language. It has inductive families, i.e.
Kotlin - Statically typed Programming Language targeting JVM and JavaScript
Isabelle - Isabelle is a proof assistant for writing and checking mathematical proofs by computer.
Dolphin Smalltalk - Dolphin is a complete development IDE for Smalltalk targeted specifically at Microsoft Windows.
Idris - Programming, Programming Language, Learning Resources, Languages, and Frontend Development
Jabaco - Jabaco is a simple programming language with a Visual Basic like syntax.