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Coq

Coq is an interactive theorem prover and functional programming language that allows the development of mathematical proofs and the formal verification of software. It provides a formal language to write mathematical definitions, executable algorithms, and theorems, along with an environment for semi-automated proof development.

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About Coq

Coq was developed in the late 1980s by researchers at INRIA in France. It evolved from earlier proof assistants like the Calculus of Constructions and aimed to provide a robust platform for formalizing mathematical proofs and verifying software correctness. The project aimed to enhance the reliability and security of software systems through formal verification techniques.

Coq's strengths include its powerful type system, support for interactive proof development, and ability to extract executable code from verified proofs. Its weaknesses are its steep learning curve and the significant time investment required for complex proofs. Competitors include Isabelle/HOL, Lean, and Agda.

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