reformulates

Reformulates is the third-person singular present tense form of reformulate. To reformulate means to formulate again or to express something in a different form, structure, or expression. The term is used when a statement, plan, or model is restated or redeveloped while preserving its core meaning.

Origin from re- (again) + formulate. Reformulation implies not merely repeating but reworking the content to improve clarity, adapt to new constraints, or enable alternative interpretations. It can involve paraphrase, restatement, or reexpression.

In mathematics and optimization, reformulating a problem or objective can reveal a more tractable structure or enable different solution techniques. In linguistics and communication, reformulating a sentence yields a paraphrase or restatement that preserves meaning while changing wording. In computer science, reformulating queries or representations can improve search relevance or algorithm performance. In scientific research, reformulating a hypothesis or model can clarify assumptions or align with data.

Examples of reformulation include restating a problem in terms of different variables, converting a nonconvex objective into a convex equivalent, or rephrasing a sentence to remove ambiguity. The term is commonly used across disciplines to indicate a deliberate reexpression intended to enhance understanding, solvability, or applicability.

See also reformulation, paraphrase, restatement, reframe, recast.