Articles Concerning Turing-equivalent Sequential Abstract Machine Models
An approach is to take a somewhat formal taxonomic approach to classify the Turing equivalent abstract machines. This taxonomy does not include finite automata:
Family: Turing-equivalent (TE) abstract machine:
Subfamilies:
- Subfamily (1) Sequential TE abstract machine
- Subfamily (2) Parallel TE abstract machine
Subfamily (1)-- Sequential TE abstract machine model: There are two classes (genera) of Sequential TE abstract machine models currently in use (cf van Emde Boas, for example):
- Genus (1.1) Tape-based Turing machine model
- Genus (1.2) Register-based register machine
Genus (1.1) -- Tape-based Turing machine model: This includes the following "species":
- { single tape, Multi-tape Turing machine, deterministic Turing machine, Non-deterministic Turing machine, Wang B-machine, Post-Turing machine, Oracle machine, Universal Turing machine }
Genus (1.2)-- The register machine model: This includes (at least) the following four "species" (others are mentioned by van Emde Boas):
- { (1.2.1) Counter machine, (1.2.2) Random access machine RAM, (1.2.3) Random access stored program machine RASP, (1.2.4) Pointer machine }
- Species (1.2.1) -- Counter machine model:
- { abacus machine, Lambek machine, Melzak model, Minsky machine, Shepherdson-Sturgis machine, program machine, etc. }
- Species (1.2.2) -- Random access machine (RAM) model:
- { any counter-machine model with additional indirect addressing, but with instructions in the state machine in the Harvard architecture; any model with an "accumulator" with additional indirect addressing but instructions in the state machine in the Harvard architecture }
- Species (1.2.3) -- Random access stored program machine (RASP) model includes
- { any RAM with program stored in the registers similar to the Universal Turing machine i.e. in the von Neumann architecture }
- Species (1.2.4)-- Pointer machine model includes the following:
- = { Schönhage Storage Modification Machine SMM, Kolmogorov-Uspensky KU-machine, Knuth linking automaton }
Read more about this topic: Abstract Machine
Famous quotes containing the words articles, abstract, machine and/or models:
“How many things served us but yesterday as articles of faith, which today we deem but fables?”
—Michel de Montaigne (1533–1592)
“When we run over libraries persuaded of these principles, what havoc must we make? If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, Does it contain any abstract reasoning concerning quantity or number? No. Does it contain any experimental reasoning concerning matter of fact and existence? No. Commit it then to the flames; for it can contain nothing but sophistry and illusion.”
—David Hume (1711–1776)
“... in the fierce competition of modern society the only class left in the country possessing leisure is that of women supported in easy circumstances by husband or father, and it is to this class we must look for the maintenance of cultivated and refined tastes, for that value and pursuit of knowledge and of art for their own sakes which can alone save society from degenerating into a huge machine for making money, and gratifying the love of sensual luxury.”
—Mrs. H. O. Ward (1824–1899)
“French rhetorical models are too narrow for the English tradition. Most pernicious of French imports is the notion that there is no person behind a text. Is there anything more affected, aggressive, and relentlessly concrete than a Parisan intellectual behind his/her turgid text? The Parisian is a provincial when he pretends to speak for the universe.”
—Camille Paglia (b. 1947)