A Complete Axiomatization of Quantified Differential Dynamic Logic for Distributed Hybrid Systems

نویسنده

  • André Platzer
چکیده

We address a fundamental mismatch between the combinations of dynamics that occur in cyber-physical systems and the limited kinds of dynamics supported in analysis. Modern applications combine communication, computation, and control. They may even form dynamic distributed networks, where neither structure nor dimension stay the same while the system follows hybrid dynamics, i.e., mixed discrete and continuous

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Quantified Differential Temporal Dynamic Logic for Verifying Properties of Distributed Hybrid Systems

We combine quantified differential dynamic logic (QdL) for reasoning about the possible behavior of distributed hybrid systems with temporal logic for reasoning about the temporal behavior during their operation. Our logic supports verification of temporal and non-temporal properties of distributed hybrid systems and provides a uniform treatment of discrete transitions, continuous evolution, an...

متن کامل

Quantified Differential Dynamic Logic for Distributed Hybrid Systems

We address a fundamental mismatch between the combinations of dynamics that occur in complex physical systems and the limited kinds of dynamics supported in analysis. Modern applications combine communication, computation, and control. They may even form dynamic networks, where neither structure nor dimension stay the same while the system follows mixed discrete and continuous dynamics. We prov...

متن کامل

Logical Analysis of Hybrid Systems - A Complete Answer to a Complexity Challenge

Hybrid systems are systems with interacting discrete and continuous dynamics. They are models for understanding, e.g., computer systems interfacing with the physical environment. Hybrid systems have a complete axiomatization in differential dynamic logic relative to continuous systems. They also have a complete axiomatization relative to discrete systems. Moreover, there is a constructive reduc...

متن کامل

A Complete Axiomatization of Differential Game Logic for Hybrid Games

Differential game logic (dGL) is a logic for specifying and verifying properties of hybrid games, i.e. games that combine discrete, continuous, and adversarial dynamics. Unlike hybrid systems, hybrid games allow choices in the system dynamics to be resolved adversarially by different players with different objectives. The logic dGL can be used to study the existence of winning strategies for su...

متن کامل

Lecture Notes on Logical Theory & Completeness

This course has studied a number of logics, first-order logic FOL in Lecture 2, differential dynamic logic dL [Pla08, Pla10a, Pla12c, Pla12b] in Lecture 3 and Lecture 4 and following, differential temporal dynamic logic dTL [Pla07, Pla10a, Chapter 4] in Lecture 16 and 17, as well as differential game logic dGL [Pla13] since Lecture 22. There are other logics for cyber-physical systems that have...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Logical Methods in Computer Science

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2011