The phrase "a logical analysis of" is correct and usable in written English.
You can use it when discussing the examination or evaluation of a subject or argument using reasoning and critical thinking.
Example: "In her thesis, she presented a logical analysis of the ethical implications of artificial intelligence."
Alternatives: "a rational examination of" or "a reasoned assessment of".
Then I had a student do a logical analysis of arguments using symbolic logic and arguments about free will.
This development, by extending the use of function-argument analysis in mathematics to logic and providing a notation for quantification, was essentially the achievement of his first book, the Begriffsschrift (1879), where he not only created the first system of predicate logic but also, using it, succeeded in giving a logical analysis of mathematical induction (see Frege FR, 47-78).
By the 1950s the logical tools required for a logical analysis of the notion had been developed.
Sometimes a difficult diagnosis is made, not by performing a large number of lab tests or by a logical analysis of what the patient presents, but by a fortunate association in the physician's mind.
In his three stages Comte combined what he considered to be an account of the historical order of development with a logical analysis of the leveled structure of the sciences.
In a logical analysis of a sentence, the various predicate-functions are isolated, and the truth-value of the whole is seen to be determined by the outputs of these functions.
Although subsequent philosophers were to question the assumption that there could ever be a definitive logical analysis of a given statement, the idea that ordinary language may be systematically misleading has remained.
Five years before the radical students raised the same issue, Dray pointed to the possibility that what Peters had presented under the guise of a "logical analysis" was nothing but the favored usage of a certain class of persons a class that Peters happened to identify with.
These computational tools are based on a logical analysis and allow verification of different properties, such as the attractors of the system in question.
We believe that we can give a logical analysis [Zerlegung] of its sense, obtaining a complex expression which in our opinion has the same sense.
Playing chess requires a deep logical analysis of the possible moves that can be made next in the game.
