Definition: In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Input: LetF be a set of boolean functions. We present an algorithm for learningF∨ := {∨f∈Sf | S ⊆ F} from membership queries. Our algorithm asks at most |F| ·OPT(F∨) membership queries where OPT(F∨) is the minimum worst case number of membership queries for learning F∨. When F is a set of halfspaces over a constant dimension space or a set of variable inequalities, our algorithm runs in polynomial time. The problem we address has practical importance in the field of program synthesis, where the goal is to synthesize a program that meets some requirements. Program synthesis has become popular especially in settings aiming to help end users. In such settings, the requirements are not provided upfront and the synthesizer can only learn them by posing membership queries to the end user. Our work enables such synthesizers to learn the exact requirements while bounding the number of membership queries.

Learning Disjunctions of Predicates