Leibniz Cosmological Argument
This is a form of the Cosmological Argument proposed by Gottfried Leibniz. It is lesser known than the Kalam version, but not any more effective. It has been defended by various apologists and philosophers. The argument is as follows: P(1): Everything which exists has an explanation of its existence P(2): If the universe had an explanation of its existence, then the explanation must be God P(3): The universe exists P(4): The universe has an explanation of its existence P(5): Therefore, God exists
See the below links for further information:
http://www.reasonablefaith.org/leibnizs-cosmological-argument-and-the-psr (Gives good information about the argument and its links to the PSR.)
http://debunkingchristianity.blogspot.co.uk/2007/10/leibnizian-cosmological-argument-part-i.html?m=1
http://www.randyeverist.com/2011/09/leibnizs-cosmological-argument.html?m=1
https://bearspace.baylor.edu/Alexander_Pruss/www/papers/LCA.html
http://fatfist.hubpages.com/hub/Leibniz-Kalam-Cosmological-Argument-REFUTED-William-Lane-Craig
http://debunkingwlc.wordpress.com/
http://exapologist.blogspot.co.uk/2012/09/hume-edward-pruss-and-leibnizian.html?m=1
http://jwwartick.com/2010/10/06/l-c-a/