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We briefly review the correspondence principle proposed in our previouspaper, which claims that if we regard a matrix element defined in terms of thefuture state at time $T_B$ and the past state at time $T_A$ as an expectationvalue in the complex action theory whose path runs over not only past but alsofuture, the expectation value at the present time $t$ of a future-includedtheory for large $T_B-t$ and large $t-T_A$ corresponds to that of afuture-not-included theory with a proper inner product for large $t-T_A$. Thiscorrespondence principle suggests that the future-included theory is notexcluded phenomenologically.

Correspondence between future-included and future-not-included theories