transalpyne: a language for automatic transposition. We present here transalpyne, a scripting language, to be executed on top of a computer algebra system, that is specifically conceived for automatic transposition of linear functions. Its type system is able to automatically infer all the possible linear functions realized by a computer program. The key feature of transalpyne is its ability to transform a computer program computing a linear function in another computer program computing the transposed linear function. The time and space complexity of the resulting program are similar to the original ones.