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by gnulinux 706 days ago
No it's not, you can write an extremely large set of programs in non-Turing complete languages. I personally consider Turing completeness a bug, not a feature, it simply means "I cannot prove the halting problem of this language" which blocks tons of useful properties.

You can write useful programs in Agda. I wrote all kinds of programs in Agda including parsers and compilers.