This is a list of formal systems, also known as logical calculi.
Mathematical Functional calculus, a way to apply various types of functions to operators Matrix calculus, a specialized notation for multivariable calculus over spaces of matrices Umbral calculus, the combinatorics of certain operations on polynomials Vector calculus (also called vector analysis), comprising specialized notations for multivariable analysis of vectors in an inner-product space
Logical Predicate calculus, specifies the rules of inference governing the logic of predicates Propositional calculus, specifies the rules of inference governing the logic of propositions
In theoretical computer science (Formal language) Modal μ-calculus, a common temporal logic used by formal verification methods such as model checking Lambda calculus, a formulation of the theory of reflexive functions that has deep connections to computational theory Kappa calculus, a reformulation of the first-order fragment of typed lambda calculus Rho calculus, introduced as a general means to uniformly integrate rewriting into lambda calculus Process calculus, a set of approaches to formulating formal models of concurrent systems Ambient calculus, a family of models for concurrent systems based on the concept of agent mobility Join calculus, a theoretical model for the design of distributed programming languages π-calculus, a formulation of the theory of concurrent, communicating processes, that was invented by Robin Milner Relational calculus, a calculus for the relational data model Domain relational calculus Tuple calculus, inspired the SQL language Refinement calculus, a way of refining models of programs into efficient programs
Other formal systems Formal ethics – Formal logical system
See also Formal system – Mathematical model for deduction or proof systems Computability:Formal models Model of computation – Mathematical model describing how an output of a function is computed given an input Calculus (disambiguation)