Martingale = Independent Increments?

Palindrom
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Here's a stupid question: for a Gaussian process, are these two properties equivalent?
 
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No - the increments can be independent without having zero expectation, and vice-versa.
 
Right, thank you, I have a centered Gaussian process in mind (should've mentioned it).
 

Thread 'Deductive proof in logic formal systems'

I was reading documentation about the soundness and completeness of logic formal systems. Consider the following $$\vdash_S \phi$$ where ##S## is the proof-system making part the formal system and ##\phi## is a wff (well formed formula) of the formal language. Note the blank on left of the turnstile symbol ##\vdash_S##, as far as I can tell it actually represents the empty set. So what does it mean ? I guess it actually means ##\phi## is a theorem of the formal system, i.e. there is a...
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