Infinitary Logic - Article in the Stanford Encyclopaedia of Philosophy by John L. Bell. Infinitary Logic is a branch of formal logic where finitary formulae are replaced by potentially infinitary mathematical entities.
Logic System Interrelationships - Shows how a number of representative logics fit together. The interrelationships usually given as something of the form: System X is system Y plus the axiom Z. By John Halleck.
What are Weak Arithmetics - Notes defining the subject. Available in HTML and PS formats.
Computability Logic - Wikipedia (free encyclopedia) article.
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