Using logs to find cause of freeze

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http://unix.stackexchange.com – My computer is freezing unexpectedly and I would like to know what the cause may be. The first time it froze it was just left alone without anything running. As this happened I left it backing up my work overnight. Next morning I found it frozen again. The third time happened again this morning while compressing some folders in order to go on with the back up. Which logs can I check to have a hint on what could be the problem causing these freezes? I ran some disk diagnostic utilities and HDDs seem to be healthy Thanks for your time (HowTos)