Overarching Computation Model (OCM)

08/01/2018
by   Henok Ghebrechristos, et al.
0

Existing models of computation, such as a Turing machine (hereafter, TM), do not consider the agent involved in interpreting the outcome of the computation. We argue that a TM, or any other computation model, has no significance if its output is not interpreted by some agent. Furthermore, we argue that including the interpreter in the model definition sheds light on some of the difficult problems faced in computation and mathematics. We provide an analytic process framework to address this limitation. The framework can be overlaid on existing concepts of computation to address many practical and philosophical concerns such as the P vs NP problem. In addition, we provide constructive proof for the P vs NP problem under the assumption that the class NP comprises of problems solvable by non-deterministic algorithms. We utilize the observation that deterministic computational procedures lack fundamental capacity to fully simulate their non-deterministic variant.

READ FULL TEXT
research
03/19/2016

Philosophical Solution to P=?NP: P is Equal to NP

The P=?NP problem is philosophically solved by showing P is equal to NP ...
research
02/28/2019

Interpretation of NDTM in the definition of NP

In this paper, we interpret NDTM (NonDeterministic Turing Machine) used ...
research
07/04/2019

A Formal Axiomatization of Computation

We introduce a set of axioms for the notion of computation, and show tha...
research
02/12/2023

Computation with Large Advice

In this paper, we consider a new direction of computation, which we call...
research
04/30/2020

A class of examples demonstrating that P is different from NP in the "P vs NP" problem

The CMI Millennium "P vs NP Problem" can be resolved e.g. if one shows a...
research
09/11/2023

Large Language Model for Science: A Study on P vs. NP

In this work, we use large language models (LLMs) to augment and acceler...
research
08/29/2023

State of the Art Report: Verified Computation

This report describes the state of the art in verifiable computation. Th...

Please sign up or login with your details

Forgot password? Click here to reset