Summary

Yosef Karo Shulchan Aruch — Choshen Mishpat 29

Similarly, in any error that witnesses often make, they themselves are believed and there is no issue of re-testifying. Similarly, if they don’t contradict the substance of their words, such as where there words were vague and can be interpreted in one of two ways- one more probable than the other, we can conform their testimonies in any practical way in the same manner that we explain two witnesses that contradict each other in order that the testimonies conform.
Source: Wikisource

Yosef Karo Shulchan Aruch — Choshen Mishpat 29

Similarly, he cannot add a condition to his testimony. There are those that say he may add a condition. However, in a situation where it is clear that he erred, such as where the court demanded he bring witnesses to testify that he is not a fraudster, he brings them and the court asks him do you know him as a fraudster, and they say yes, and the party responds “you know that I am a fraudster?!” and they say we said you are not a fraudster, we believe their latter statement because it is assumed that a person does not bring witnesses to harm him and they certainly erred.
Source: Wikisource

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