Equational Abstractions

Abstract

Abstraction reduces the problem of whether an infinite state system satisfies a temporal logic property to model checking that property on a finite state abstract version. The most common abstractions are quotients of the original system. We present a simple method of defining quotient abstractions by means of equations collapsing the set of states. Our method yields the minimal quotient system together with a set of proof obligations that guarantee its executability and can be discharged with tools such as those in the Maude formal environment.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2007
Accession Number
ADA482411

Entities

People

  • José Meseguer
  • Miguel Palomino
  • Narciso Martí-oliet

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force Research Laboratories
  • Case Studies
  • Computer Science
  • Computers
  • Concrete
  • Confluence
  • Construction
  • Equations
  • Guarantees
  • Identities
  • Language
  • Logic
  • Semantics
  • Sequences
  • Simulations
  • Specifications

Readers

  • Calculus or Mathematical Analysis
  • Computational Linguistics