General synonyms:
* Clear
* Exonerate
* Justify
* Prove right
* Absolve
* Defend
* Uphold
* Validate
* Confirm
* Support
More formal synonyms:
* Exculpate
* Rehabilitate
* Authenticate
Less formal synonyms:
* Set straight
* Prove innocent
* Clear the air
* Make right
Examples:
* "The evidence vindicated the suspect." (Exonerate)
* "The court's decision vindicated her claim." (Prove right)
* "His actions vindicated his earlier decision." (Justify)
* "The new study vindicated the previous research." (Confirm)
The best synonym to use will depend on the specific meaning you want to convey.