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 (15331592)
“... my whole existence is governed by abstract ideas.... the ideal must be preserved regardless of fact.”
—Mary Corinna Putnam (18421906)
“Psychiatric enlightenment has begun to debunk the superstition that to manage a machine you must become a machine, and that to raise masters of the machine you must mechanize the impulses of childhood.”
—Erik H. Erikson (19041994)
“... your problem is your role models were models.”
—Jane Wagner (b. 1935)