An Introduction to Input/Output Automata

An Introduction to Input/Output Automata

September 1989 | Nancy A. Lynch and Mark R. Tuttle
This paper introduces the input/output automaton (I/O automaton) model as a tool for modeling concurrent and distributed discrete event systems in computer science. The model is used to describe and reason about various systems, including network resource allocation algorithms, communication algorithms, concurrent database systems, shared atomic objects, and dataflow architectures. The paper is organized into sections that define the model, provide examples, and discuss its applications. I/O automata are suitable for modeling systems where components operate asynchronously. Each system component is modeled as an I/O automaton, which is an automaton with actions labeled as input, output, or internal. The model distinguishes between actions controlled by the automaton and those controlled by the environment. Automata cannot block inputs, which differentiates the model from CSP (Communicating Sequential Processes), where input blocking is used to control environment activity. The model allows for the composition of automata, where output actions of one automaton are matched with input actions of others. This enables the modeling of complex systems by combining simpler components. The model also supports the definition of fairness, ensuring that each component gets a fair chance to perform its actions. Fair executions are those in which each component has infinitely many opportunities to perform its actions. The paper provides examples of I/O automata, including candy machines and their customers, to illustrate the model. It discusses how the model can be used to define problem specifications and verify that automata solve these specifications. The model allows for the definition of safety and liveness properties, which are essential for ensuring correct system behavior. The model is used to describe algorithms and systems at different levels of abstraction. It supports the use of abstraction mappings to simplify the description of complex systems. The model also allows for the formal verification of algorithms, including the use of composition and abstraction techniques. The model can be used for complexity analysis, proving upper and lower bounds on problem-solving complexity, and proving impossibility results. The paper concludes that the I/O automaton model is a powerful tool for modeling and verifying concurrent and distributed systems. It provides a formal basis for algorithm correctness proofs and supports the analysis of system behavior in a modular and structured way.This paper introduces the input/output automaton (I/O automaton) model as a tool for modeling concurrent and distributed discrete event systems in computer science. The model is used to describe and reason about various systems, including network resource allocation algorithms, communication algorithms, concurrent database systems, shared atomic objects, and dataflow architectures. The paper is organized into sections that define the model, provide examples, and discuss its applications. I/O automata are suitable for modeling systems where components operate asynchronously. Each system component is modeled as an I/O automaton, which is an automaton with actions labeled as input, output, or internal. The model distinguishes between actions controlled by the automaton and those controlled by the environment. Automata cannot block inputs, which differentiates the model from CSP (Communicating Sequential Processes), where input blocking is used to control environment activity. The model allows for the composition of automata, where output actions of one automaton are matched with input actions of others. This enables the modeling of complex systems by combining simpler components. The model also supports the definition of fairness, ensuring that each component gets a fair chance to perform its actions. Fair executions are those in which each component has infinitely many opportunities to perform its actions. The paper provides examples of I/O automata, including candy machines and their customers, to illustrate the model. It discusses how the model can be used to define problem specifications and verify that automata solve these specifications. The model allows for the definition of safety and liveness properties, which are essential for ensuring correct system behavior. The model is used to describe algorithms and systems at different levels of abstraction. It supports the use of abstraction mappings to simplify the description of complex systems. The model also allows for the formal verification of algorithms, including the use of composition and abstraction techniques. The model can be used for complexity analysis, proving upper and lower bounds on problem-solving complexity, and proving impossibility results. The paper concludes that the I/O automaton model is a powerful tool for modeling and verifying concurrent and distributed systems. It provides a formal basis for algorithm correctness proofs and supports the analysis of system behavior in a modular and structured way.
Reach us at info@futurestudyspace.com