Using the compactness theorem of integration logic, the author proves Riesz representation, Daniell-Stone, and Stone representation theorems in a uniform way.
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Uniform logical proofs for Riesz representation theorem, Daniell-Stone theorem and Stone's representation theorem for probability algebras
Using the compactness theorem of integration logic, the author proves Riesz representation, Daniell-Stone, and Stone representation theorems in a uniform way.