How to find which library slf4j has bound itself to?

Just do what SLF4J does to discover the binding:

final StaticLoggerBinder binder = StaticLoggerBinder.getSingleton();

Now you can try to find out what is the actual implementation logback in my case:

System.out.println(binder.getLoggerFactory());
System.out.println(binder.getLoggerFactoryClassStr());

This prints:

ch.qos.logback.classic.LoggerContext[default]
ch.qos.logback.classic.selector.DefaultContextSelector

The StaticLoggerBinder's getLoggerFactoryClassStr() method is probably what you're looking for.