I am looking for an introduction with practical examples for intuitionistic propositional logic, but a search only showed up for me reference that are highly mathematical.
Could you perhaps recommend something readable for a non-logician …
In my opinion, it is certainly a good introduction: Bell et alii 's proof method is not really difficult, more simple than FCube algorithm, but akin to it (it is also the indirect method of proving via a search of countermodel). It is the intuitionistic version of Beth trees method for classical logic. Have a look on this nice book. If you cannot find it, please, send an email to me (my email adress is on my blog).
For those that are aware of this, a WorldCat page has an option to enter your location,
Once updated, below the location will will be a list nearby libraries with the book and distance to the library.
Sometimes it will also show the publishers page, online bookstores that sell the book and if the book is out of print, used booksellers who have the book.