In theoretical computer science, the π-calculus (or pi-calculus) is a process calculus. The π-calculus allows channel names to be communicated along the...
31 KB (4,833 words) - 06:07, 3 December 2023
additions to the family include the π-calculus, the ambient calculus, PEPA, the fusion calculus and the join-calculus. While the variety of existing process...
19 KB (2,452 words) - 08:56, 28 June 2024
Pi (disambiguation) (redirect from Π (disambiguation))
of X π-calculus, a process calculus Prime-counting function or π(x) π {\displaystyle \pi } , the population proportion in statistics Pion or π, a subatomic...
5 KB (595 words) - 19:49, 18 July 2024
for analyzing concurrent systems, the calculus of communicating systems (CCS), and its successor, the π-calculus. At the time of his death, he was working...
11 KB (915 words) - 12:07, 27 February 2024
concept of agent mobility Join calculus, a theoretical model for the design of distributed programming languages π-calculus, a formulation of the theory...
5 KB (671 words) - 06:08, 25 June 2024
Itô calculus, named after Kiyosi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important...
30 KB (4,461 words) - 17:33, 31 March 2024
to simulate name-passing channels in the π-calculus. Lambda calculus Mobile membranes Type theory API-Calculus Cardelli, L.; A.D. Gordon. "Mobile Ambients"...
4 KB (550 words) - 12:26, 2 March 2023
Pi (redirect from History of π)
differential calculus typically precedes integral calculus in the university curriculum, so it is desirable to have a definition of π that does not rely...
146 KB (17,390 words) - 14:59, 17 August 2024
typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with only one...
33 KB (4,587 words) - 10:39, 14 August 2024
algebraic reasoning about systems composed of interacting components. The π-calculus added the capability for reasoning about dynamic topologies. Input/output...
28 KB (2,912 words) - 19:45, 17 August 2024
this limitation, the join-calculus is as expressive as the full π-calculus. Encodings of the π-calculus in the join-calculus, and vice versa, have been...
5 KB (549 words) - 12:31, 13 June 2023
functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras...
11 KB (1,698 words) - 20:41, 1 April 2024
In optics, polarized light can be described using the Jones calculus, invented by R. C. Jones in 1941. Polarized light is represented by a Jones vector...
28 KB (3,523 words) - 04:52, 4 February 2024
In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function f of a...
31 KB (5,482 words) - 20:40, 12 August 2024
This is a list of calculus topics. Limit (mathematics) Limit of a function One-sided limit Limit of a sequence Indeterminate form Orders of approximation...
4 KB (389 words) - 12:14, 10 February 2024
greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted...
13 KB (2,784 words) - 13:00, 26 July 2024
Occam (programming language) (section occam-π)
is an allusion to KRoC occam including several ideas inspired by the π-calculus. It contains several significant extensions to the occam 2.1 compiler...
11 KB (1,097 words) - 09:52, 4 August 2024
University of Kent. The name reflects the introduction of elements of π-calculus (pi-calculus) into occam, especially concepts involving mobile agents (processes)...
3 KB (136 words) - 08:45, 10 April 2022
Yoneda embedding. It is also similar to the embedding of lambda calculus in π-calculus. Outside of computer science, CPS is of more general interest as...
22 KB (2,532 words) - 15:32, 2 November 2023
Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...
49 KB (5,993 words) - 20:23, 15 August 2024
Integral (redirect from Integral calculus)
theorem of calculus allows straightforward calculations of basic functions: ∫ 0 π sin ( x ) d x = − cos ( x ) | x = 0 x = π = − cos ( π ) − ( − cos...
68 KB (9,235 words) - 01:10, 22 June 2024
point of a function, as commonly used in the μ-calculus. Free names of a process, as used in the π-calculus. One of the Greeks in mathematical finance, known...
4 KB (373 words) - 14:41, 14 May 2024
statically typed programming language, one of the very few based on the π-calculus. Work on the language began at the University of Edinburgh in 1992, and...
2 KB (110 words) - 21:20, 18 January 2022
Join-pattern (section π-calculus – 1992)
intervening thread; indeed, the awakened thread may have to wait again. The π-calculus belongs to the family of process calculi, allows mathematical formalisms...
57 KB (6,392 words) - 16:47, 10 August 2024
Mathematical consideration of process architectures may be found in CCS and the π-calculus. The structure of a process system, or its architecture, can be viewed...
4 KB (494 words) - 06:00, 16 April 2022
Communicating Sequential Processes (CSP) occam-π – a modern variant of occam, which incorporates ideas from Milner's π-calculus Orc Oz – multiparadigm language, supports...
91 KB (6,911 words) - 23:50, 7 August 2024
channels, an approach also used in Milner's work on the calculus of communicating systems and the π-calculus. These early models by Milner and Hoare both had...
80 KB (7,146 words) - 18:54, 29 May 2024
Finite difference (redirect from Calculus of sums and differences)
including Isaac Newton. The formal calculus of finite differences can be viewed as an alternative to the calculus of infinitesimals. Three basic types...
37 KB (5,764 words) - 02:44, 26 April 2024
Padre Island, a resort town in Cameron County, Texas Spi-calculus, a proposed extension of Π-calculus Swiss Performance Index, a stock index SPI 200 futures...
2 KB (255 words) - 04:26, 12 August 2024
Natural deduction (redirect from Natural deduction calculus)
types, and proofs as programs in the lambda calculus. Thus the interpretation of "π : A" is "the program π has type A". The logical connectives are also...
68 KB (6,768 words) - 05:11, 5 July 2024