Circular Coinduction

نویسنده

  • Joseph Goguen
چکیده

Circular coinduction is a technique for behavioral reasoning that extends cobasis coinduction to speci cations with circularities. Because behavioral satisfaction is not recursively enumerable, no algorithm can work for every behavioral statement. However, algorithms using circular coinduction can prove every practical behavioral result that we know. This paper proves the correctness of circular coinduction and some consequences.

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

Circular Coinduction: A Proof Theoretical Foundation

Several algorithmic variants of circular coinduction have been proposed and implemented during the last decade, but a proof theoretical foundation of circular coinduction in its full generality is still missing. This paper gives a three-rule proof system that can be used to formally derive circular coinductive proofs. This three-rule system is proved behaviorally sound and is exemplified by pro...

متن کامل

Circular Coinduction with Special Contexts

Coinductive proofs of behavioral equivalence often require human ingenuity, in that one is expected to provide a “good” relation extending one’s goal with additional lemmas, making automation of coinduction a challenging problem. Since behavioral satisfaction is a Π 2 -hard problem, one can only expect techniques and methods that approximate the behavioral equivalence. Circular coinduction is a...

متن کامل

Automating Coinduction with Case Analysis

Coinduction is a major technique employed to prove behavioral properties of systems, such as behavioral equivalence. Its automation is highly desirable, despite the fact that most behavioral problems are Π 2 -complete. Circular coinduction, which is at the core of the CIRC prover, automates coinduction by systematically deriving new goals and proving existing ones until, hopefully, all goals ar...

متن کامل

Circular Coinductive Rewriting

Circular coinductive rewriting is a new method for proving behavioral properties, that combines behavioral rewriting with circular coinduction. This method is implemented in our new BOBJ behavioral specification and computation system, which is used in examples throughout this paper. These examples demonstrate the surprising power of circular coinductive rewriting. The paper also sketches the u...

متن کامل

Iterative Circular Coinduction for CoCasl in Isabelle/HOL

Coalgebra has in recent years been recognized as the framework of choice for the treatment of reactive systems at an appropriate level of generality. Proofs about the reactive behavior of a coalgebraic system typically rely on the method of coinduction. In comparison to ‘traditional’ coinduction, which has the disadvantage of requiring the invention of a bisimulation relation, the method of cir...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000