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Non Standard Logics
A comprehensive listing of flavours of non-standard logic with brief descriptions and references, compiled by Peter Suber. (infos)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. (infos)
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. (infos)
What are Weak Arithmetics
Notes defining the subject. Available in HTML and PS formats. (infos)
Computability Logic
Wikipedia (free encyclopedia) article. (infos)