The argument about increasing punishment for women who lie about being raped would be more convincing as grounded in a real concern for justice if it was accompanied by an similar argument for increasing the punishment for men who lie about raping.
Except we have never prosecuted the guilty for saying they're innocent at trial.
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I believe in general this situation would fall under knowingly filing a false police report, not usually perjury, which requires testifying under oath.Perjury is already a crime.
Women (like all who testify in court) ARE required by law to tell the truth on matters material to the case being heard. So either there is no problem here; or your assertion that the problem could be addressed by changes to the law to make what is currently a crime into a crime, is clearly false.
IF there is a problem, THEN your proposed solution is demonstrably inadequate.
Yeah, if it doesn't go to trial it would only be filing a false police report.