Calculus Help Math

Proof calculus - Informally, we may say that a proof calculus determines a family of formal systems which specify inference rules that characterise a logical system. As opposed to the application of the term calculus in such contexts as lambda calculus, it is usually inappropriate to identify a calculus with a particular formal system, since such paradigmatic cases as the sequent calculus are used to express such radically different consequence relations as intuitionistic logic and relevance logic.

Frege's propositional calculus - In mathematical logic Frege's propositional calculus was the first axiomatization of propositional calculus. It was invented by Gottlob Frege, who also invented predicate calculus, in 1879 as part of his second-order predicate calculus (although Charles Peirce was the first to use the term "second-order" and developed his own version of the predicate calculus independently of Frege).

Felicific calculus - The felicific calculus was an algorithm formulated by Jeremy Bentham for calculating the degree or amount of happiness that a specific action is likely to cause, and hence its degree of moral rightness. It is also known as the "Utility Calculus", the "Hedonistic Calculus" and the "Hedonic Calculus".

Calculus of structures - The calculus of structures is a proof calculus with deep inference devised by Alessio Guglielmi to study the structural proof theory of noncommutative logic. The calculus has since been applied to study linear logic, classical logic, modal logic, and process calculi, and many benefits are claimed to follow in these investigations from the way in which deep inference is made available in the calculus.

calculushelpmath

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