I have previously posted those translations - from Gialuz et al. - on this forum. They are also available on the IIP Forum, in the Italian Criminal Laws and Procedures thread:
http://www.injusticeanywhereforum.com/viewtopic.php?f=20&t=3161&sid=2e50b1929ff8c76c6d8c6a2e1a1b6b05
With a little searching, I have found the text of CPP Article 530 as I posted on this forum. It is on Thread Continuation 18, post #1582, 17 June 2015.
I copy that post here:
Because of the interest expressed, I post the English translation of CPP Articles 530 and 531 here.
Source: The Italian Code of Criminal Procedure: Critical essays and English translation, ed. M. Gialuz, L. Luparia, and F. Scarpa, Wolters Kluwer Italia, (c) 2014.
CPP Article 530 Judgment of acquittal
1. If the criminal act did not occur, the accused did not commit it, the act is not deemed an offence by law or it has been committed by a person who cannot be accused or punished for a different reason, the judge shall deliver a judgment of acquittal, mentioning the cause in the operative part of the judgment.
2. The judge shall deliver a judgment of acquittal also in case of insufficient, contradictory or lacking proof that the criminal act occurred, the accused committed it, the act is deemed an offence by law, the offence was committed by a person with mental capacity.
3. The judge shall deliver a judgment of acquittal under paragraph 1 if there is proof that the underlying causes of the committed act are either a reason for justification or a personal reason for exemption from punishment or there is a doubt on the existence of such reasons.
4. By means of the judgment of acquittal, the judge shall apply the security measures, in the cases provided for by law.
CPP Article 531 Declaration of extinguishment of the offence
1. Without prejudice to the provision of Article 129, paragraph 2, if the offence is extinguished, the judge shall deliver a judgment of non-prosecution, mentioning the cause in the operative part.
2. The judge shall follow the same procedure if there are doubts regarding the cause for extinguishing an offence.
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Commentary: In the inquisitorial system in a civil code jurisdiction, the judge must have some legal rationale to acquit. Otherwise (as probably was the usual case) the trial was a formality and the judge merely accepted the prosecution case (which was prepared by the investigating judge, if I understand correctly).
Thus, a law such as CPP Article 530.1 was needed to allow the judge a legal rationale to acquit when, in the judge's opinion, the accused was somehow clearly "innocent", or there was actually no crime committed, or it was committed by someone in authority who had immunity.
Furthermore, without a BARD standard for guilt having been encoded in law before 2006, there was a need to allow the judge a legal rationale to acquit when there was, in the judge's opinion, insufficient, contradictory or lacking proof of guilt, or for certain other cases, such as insufficient, contradictory, or lacking proof of mental competence. Thus, CPP Article 530.2 provided that legal rationale.
It may be useful to consider Wikipedia's categorization of judgments under Italian law; these lump together the Article 533, 530.1, 530.2, and 530.3 reasons:
There are only certain judgments allowed at the conclusion of a criminal trial.
1. Guilty (colpevole) - Conviction (condanna)
2. Not guilty (non colpevole)
2.1 Acquittal (assoluzione)
2.1.1 The act did not take place (there was no crime committed) - Perché il fatto non sussiste
2.1.2 The accused did not commit the act [crime] - Perché l'imputato non lo ha commesso
2.1.3 The action was not a crime, because the accused is excused (for example, self-defense) - Perché il fatto non costituisce reato
2.1.4 The action is no longer considered a crime under the law - Perché il fatto non è previsto dalla Legge come reato
2.1.5 The person is not criminally responsible, because of a mental condition [insanity] - Perché l'imputato non è punibile
2.2 Other dismissal (Non doversi procedere); such a dismissal may be because, for example: there has been an amnesty, the case has become time-barred under the statute of limitations, or the proper criminal complaint was not filed
https://en.wikipedia.org/wiki/Italian_Code_of_Criminal_Procedure