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About: Harrop formula     Goto   Sponge   NotDistinct   Permalink

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In intuitionistic logic, the Harrop formulae, named after , are the class of formulae inductively defined as follows: * Atomic formulae are Harrop, including falsity (⊥); * is Harrop provided and are; * is Harrop for any well-formed formula ; * is Harrop provided is, and is any well-formed formula; * is Harrop provided is. Harrop formulae were introduced around 1956 by Ronald Harrop and independently by Helena Rasiowa. Variations of the fundamental concept are used in different branches of constructive mathematics and logic programming.