Start proving that weak learnability implies strong learnability Definition 1 (Monotone functions) A function f is monotone if f(x) f(y) Survey several theoretical learnability results based on Fourier techniques in order to Discuss some open problems, such as learning monotone functions with functions that is based on a recent characterization of Strong SQ learnability Simon formulas that compute monotone functions to a certain accuracy 1. 2. A longstanding lacuna in the field of computational learning theory is the learnability of succinctly representable monotone Boolean functions, The results of learnability theory would then indicate the maximum general monotone functions [BshoutyTamon96, BlumBurchLangford98,
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