Understanding the Visio 2013 editions
Microsoft has merged the Professional and Premium editions from Visio 2010 into the Professional edition in Visio 2013. There is still a Standard edition, but there is a flavor of the Professional edition for 2013 that is available with certain Office365 subscriptions. The Office365 edition of Visio Professional can be used on up to 5 PCs as a Click-Once installation
You need to be aware of the relevant features that are in each of them. In the following matrix, a black dot denotes which features are in which edition:

Although you will need Microsoft Visio 2013 Professional Edition to use the Validation capabilities, the Standard edition will be able to review any of the diagrams created.