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))
π, or Π in Wiktionary, the free dictionary. Pi (π) is a mathematical constant equal to a circle's circumference divided by its diameter. Pi, π or Π may...
5 KB (635 words) - 22:35, 8 October 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) - 21:42, 19 October 2024
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...
148 KB (17,578 words) - 21:23, 26 October 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...
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concept of agent mobility Join calculus, a theoretical model for the design of distributed programming languages π-calculus, a formulation of the theory...
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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...
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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
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) - 09:00, 30 August 2024
algebraic reasoning about systems composed of interacting components. The π-calculus added the capability for reasoning about dynamic topologies. Input/output...
29 KB (2,961 words) - 09:42, 14 October 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"...
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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...
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In mathematics, holomorphic functional calculus is functional calculus with holomorphic functions. That is to say, given a holomorphic function f of a...
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functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras...
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greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted...
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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
Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...
49 KB (5,993 words) - 20:22, 25 October 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 (488 words) - 02:33, 25 October 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
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
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...
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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 (6,393 words) - 23:24, 7 September 2024
E (mathematical constant) (section Calculus)
importance in mathematics, alongside 0, 1, π, and i. All five appear in one formulation of Euler's identity e i π + 1 = 0 {\displaystyle e^{i\pi }+1=0} and...
53 KB (6,416 words) - 00:12, 27 October 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...
38 KB (5,885 words) - 16:53, 28 September 2024
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 (6,912 words) - 04:30, 28 October 2024
particular, J n ( π 2 ) = ∫ − π / 2 π / 2 ( π 2 4 − y 2 ) n cos ( y ) d y = ∫ 0 π ( π 2 4 − ( y − π 2 ) 2 ) n cos ( y − π 2 ) d y = ∫ 0 π y n ( π − y ) n sin...
25 KB (5,785 words) - 05:45, 2 October 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 (6,761 words) - 08:32, 6 October 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) - 23:07, 11 September 2024
Petri nets Process calculi Calculus of communicating systems (CCS) Communicating sequential processes (CSP) model π-calculus Tuple spaces, e.g., Linda...
14 KB (1,413 words) - 18:15, 25 September 2024