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List of formal systems

From Wikipedia, the free encyclopedia

This is a list offormal systems, also known as logical calculi.

Mathematical

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  • 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

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Intheoretical computer science (Formal language)

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  • 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 byRobin Milner
  • Relational calculus, a calculus for the relational data model
  • Refinement calculus, a way of refining models of programs into efficient programs

Other formal systems

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See also

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General
Theorems (list)
 and paradoxes
Logics
Traditional
Propositional
Predicate
Set theory
Types ofsets
Maps and cardinality
Set theories
Formal systems (list),
language and syntax
Example axiomatic
systems
 (list)
Proof theory
Model theory
Computability theory
Related
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