Abstract model of computation, Theory of Computation

When we say "solved algorithmically" we are not asking about a speci?c programming language, in fact one of the theorems in computability is that essentially all reasonable programming languages are equivalent in their power. Rather, we want to know if there is an algorithm for solving it that can be expressed in any rigorous way at all. Similarly, we are not asking about whether the problem can be solved on any particular computer, but whether it can be solved by any computing mechanism, including a human using a pencil and paper (even a limitless supply of paper).

What we need is an abstract model of computation that we can treat in a rigorous mathematical way. We'll start with the obvious model:

1190_Abstract model of computation.png

Here a computer receives some input (an instance of a problem), has some computing mechanism, and produces some output (the solution of that instance). We will refer to the con?guration of the computing mechanism at a given point in it's processing as its internal state. Note that in this model the computer is not a general purpose device: it solves some speci?c problem. Rather, we consider a general purpose computer and a program to both be part of a single machine. The program, in essence, specializes the computer to solve a particular problem.

Posted Date: 3/20/2013 5:52:57 AM | Location : United States







Related Discussions:- Abstract model of computation, Assignment Help, Ask Question on Abstract model of computation, Get Answer, Expert's Help, Abstract model of computation Discussions

Write discussion on Abstract model of computation
Your posts are moderated
Related Questions
Define the following concept with an example: a.    Ambiguity in CFG b.    Push-Down Automata c.    Turing Machine

prove following function is turing computable? f(m)={m-2,if m>2, {1,if

What are the benefits of using work breakdown structure, Project Management

Exercise:  Give a construction that converts a strictly 2-local automaton for a language L into one that recognizes the language L r . Justify the correctness of your construction.

LTO was the closure of LT under concatenation and Boolean operations which turned out to be identical to SF, the closure of the ?nite languages under union, concatenation and compl

how to understand DFA ?

De?nition (Instantaneous Description) (for both DFAs and NFAs) An instantaneous description of A = (Q,Σ, δ, q 0 , F) , either a DFA or an NFA, is a pair h q ,w i ∈ Q×Σ*, where

how to prove he extended transition function is derived from part 2 and 3

Let L1 and L2 be CGF. We show that L1 ∩ L2 is CFG too. Let M1 be a decider for L1 and M2 be a decider for L2 . Consider a 2-tape TM M: "On input x: 1. copy x on the sec

construct a social network from the real-world data, perform some simple network analyses using Gephi, and interpret the results.