Basic Measurement for One Connective of Distributed Logic

Abstract

This is a report on measuring the distributed possibility connective of Distributed Logic for FPGA applications. The measurement apparatus is particularly well suited for measuring how well a spider is tracking an FPGA application. The mathematics works with regular conditional probability distributions also known as Markov kernels; these are measurable relations in one variable and subprobability measures in another. They satisfy a certain equation and are actually arrows in a category of sigma-lattices as objects, SRel. A subprobability measure is one where the requirement is only that the value of the underlying ambient space less than or equal to 1, not precisely equal to 1. Requiring equality to 1turns out to be too restrictive. All categories have composition of arrows as one of their basic laws. SRel has a specific prescription for how to compose relations and this turns out to be one of the ingredients required to measure simulation conditions.

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Document Details

Document Type
Technical Report
Publication Date
Aug 17, 2023
Accession Number
AD1208904

Entities

People

  • Christopher Belmonte
  • Gerard Allwein

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Boolean Algebra
  • Circuit Boards
  • Computer Science
  • Computers
  • Equations
  • Identities
  • Integrals
  • Mathematics
  • Notation
  • Probability
  • Probability Distributions
  • Real Numbers
  • Set Theory
  • Simulations
  • Standards
  • Theorems
  • Theoretical Computer Science
  • Topology

Readers

  • Educational Psychology
  • Mathematical Modeling and Probability Theory.
  • Parallel and Distributed Computing.

Technology Areas

  • Space