The phrase "a formal reasoning" is not correct in standard English; it should be "formal reasoning" without the article "a." You can use "formal reasoning" when discussing logical processes or structured arguments in academic or professional contexts.
Example: "In his thesis, he employed formal reasoning to support his hypothesis."
Alternatives: "logical reasoning" or "structured reasoning."
In particular, the method provides a formal reasoning mechanism that combines the advantages of inductive and deductive techniques for feature recognition from Boundary Representation (B-Rep) part models.
In the Appendices are a formal reasoning of the algorithm, an exemplary macro for MS Excel, as well as the R and MATLAB codes for the MC simulation used for comparing its performance with the new method.
More importantly, it immediately allows us to identify redundant pathways and fragile nodes in the network structure, thus providing the grounds for a formal reasoning on a network's robustness.
I don't remember any formal reasoning at the time — I think I had the models in my mind's eye and could see that the two pairs of faces had to be coplanar.
In a well-known example, Lawson (1978) developed a test of formal reasoning, later revised into the Classroom Test of Scientific Reasoning (CTSR; Lawson 2000).
Their ideas were developed over the centuries by philosophers such as Aristotle (who gave a formal analysis of the syllogism), Euclid (whose Elements was a model of formal reasoning), (who developed algebra and gave his name to "algorithm") and European scholastic philosophers such as William of Ockham and Duns Scotus.
In recent years, separation logic has emerged as a contender for formal reasoning of pointer-based programs.
The lack of such a theory hinders formal reasoning on the relationship between the analysis dimensions and derived analysis techniques.
Other psychologists have questioned the assumption that moral action is primarily a result of formal reasoning.
But while the rigour of building formal models brings significant benefits, formal reasoning remains a major barrier to the wider acceptance of formalism within design.
In our view, it provides a much better framework for formal reasoning about Esterel programs.
