This is a list of formal systems, also known as logical calculi.
Mathematical
- Domain relational calculus, a calculus for the relational data model
- Functional calculus, a way to apply various types of functions to operators
- Join calculus, a theoretical model for distributed programming
- Lambda calculus, a formulation of the theory of reflexive functions that has deep connections to computational theory
- Matrix calculus, a specialized notation for multivariable calculus over spaces of matrices
- Modal μ-calculus, a common temporal logic used by formal verification methods such as model checking
- Pi-calculus, a formulation of the theory of concurrent, communicating processes that was invented by Robin Milner
- Predicate calculus, specifies the rules of inference governing the logic of predicates
- Propositional calculus, specifies the rules of inference governing the logic of propositions
- Refinement calculus, a way of refining models of programs into efficient programs
- Rho calculus, introduced as a general means to uniformly integrate rewriting and lambda calculus
- Tuple calculus, a calculus for the relational data model, inspired the SQL language
- 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
Other formal systems
- Formal ethics – formal logical system for describing and evaluating the "form" as opposed to the "content" of ethical principles
Music is a formal system too. Please have editors illuminate on this.
See also
- Formal system – Mathematical model for deduction or proof systems
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