Program algebra for random access machine programs

07/20/2020
by   C. A. Middelburg, et al.
0

This paper presents an algebraic theory of instruction sequences with instructions for a random access machine (RAM) as basic instructions, the behaviours produced by the instruction sequences concerned under execution, and the interaction between such behaviours and RAM memories. This theory provides a setting for the development of theory in areas such as computational complexity and analysis of algorithm that distinguishes itself by offering the possibility of equational reasoning to establish whether an instruction sequence computes a given function and being more general than the setting provided by any known version of the RAM model of computation. In this setting, a semi-realistic version of the RAM model of computation and a bit-oriented time complexity measure for this version are introduced.

READ FULL TEXT

Authors

page 1

page 2

page 3

page 4

01/25/2019

Program algebra for Turing-machine programs

This note presents an algebraic theory of instruction sequences with ins...
08/13/2018

A short introduction to program algebra with instructions for Boolean registers

A parameterized algebraic theory of instruction sequences, objects that ...
05/15/2018

On the complexity of the correctness problem for non-zeroness test instruction sequences

In this paper, we consider the programming of the function on bit string...
04/18/2019

Quantitative Expressiveness of Instruction Sequence Classes for Computation on Single Bit Registers

The number of instructions of an instruction sequence is taken for its l...
03/17/2022

How Many Data Samples is an Additional Instruction Worth?

Recently introduced instruction-paradigm empowers non-expert users to le...
07/12/2021

DARM: Control-Flow Melding for SIMT Thread Divergence Reduction – Extended Version

GPGPUs use the Single-Instruction-Multiple-Thread (SIMT) execution model...
02/22/2022

Learning to Combine Instructions in LLVM Compiler

Instruction combiner (IC) is a critical compiler optimization pass, whic...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.