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ICG Chapter 1 Introduction

Questions about the lecture 'Infinte computations and games' of the RWTH Aachen Chapter 1 Introduction

Questions about the lecture 'Infinte computations and games' of the RWTH Aachen Chapter 1 Introduction


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Cartes-fiches 20
Langue English
Catégorie Informatique
Niveau Université
Crée / Actualisé 05.02.2017 / 13.10.2017
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What is the characteristic?

[sofar.motivation]

Theory of regular languages and finite automata on finite words // FoSAP

What is the characteristic?

[now.motivation, 3]

1. Theory of regular languages and finite automata on (one-sided) infinite words

2. Automata on infinite trees

3. Games of infinite duration

List the reasons!

[why.now.motivation, 3]

1. Model executions of non-terminating systems

2. Represent real numbers with infinite words

3. Decision procedure for logics on infinite structures

List them!

[executions.why.now.motivation, 3]

1. One execution is a infinite word

2. All executions are a infinite tree

3. Interaction with environment is a infinite game

What happened 1960?

[history]

Decision problems in logic and circuit design

What happened 1962?

[history]

Program synthesis and Church’s problem

What are the characteristics?

[1962.history, 2]

1. Running program generates a non-terminating sequence of output beta from input alpha signals

2. Task is to automatically synthesize a program from the specification phi(alpha,beta)

What happened 1969?

[history]

View Church’s problem as game between player input and player output