Proving Nontermination via Safety

نویسندگان

  • Hong Yi Chen
  • Byron Cook
  • Carsten Fuhs
  • Kaustubh Nimkar
  • Peter W. O'Hearn
چکیده

We show how the problem of nontermination proving can be reduced to a question of underapproximation search guided by a safety prover. This reduction leads to new nontermination proving implementation strategies based on existing tools for safety proving. Our preliminary implementation beats existing tools. Furthermore, our approach leads to easy support for programs with unbounded nondeterminism. Proving nontermination via safety Hong-Yi Chen, Byron Cook, Carsten Fuhs, Kaustubh Nimkar, and Peter O’Hearn 1 University College London 2 Microsoft Research Abstract. We show how the problem of nontermination proving can be reduced to a question of underapproximation search guided by a safety prover. This reduction leads to new nontermination proving implementation strategies based on existing tools for safety proving. Our preliminary implementation beats existing tools. Furthermore, our approach leads to easy support for programs with unbounded nondeterminism. We show how the problem of nontermination proving can be reduced to a question of underapproximation search guided by a safety prover. This reduction leads to new nontermination proving implementation strategies based on existing tools for safety proving. Our preliminary implementation beats existing tools. Furthermore, our approach leads to easy support for programs with unbounded nondeterminism.

برای دانلود رایگان 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

Embracing Overapproximation for Proving Nontermination

One of the most fundamental program properties is termination: a program’s execution will end regardless of its input. Bugs due to nontermination of a subroutine can be a nuisance, particularly since they cannot reliably be detected by testing. Although termination is undecidable, in practice we can use incomplete but effective methods to prove termination. However, failure to find a terminatio...

متن کامل

Finding and Certifying Loops

The first part of this paper presents a new approach for automatically proving nontermination of string rewrite systems. We encode rewrite sequences as propositional formulas such that a loop can be extracted from a satisfying assignment. Alternatively, loops can be found by enumerating forward closures. In the second part we give a formalization of loops in the theorem prover Isabelle/HOL. Aft...

متن کامل

Certification of Nontermination Proofs

Automatic tools for proving (non)termination of term rewrite systems, if successful, deliver proofs as justification. In this work, we focus on how to certify nontermination proofs. Besides some techniques that allow to reduce the number of rules, the main way of showing nontermination is to find a loop, a finite derivation of a special shape that implies nontermination. For standard terminatio...

متن کامل

Extending Non-Termination Proof Techniques to Asynchronously Communicating Concurrent Programs

Currently, no approaches are known that allow for non-termination proofs of concurrent programs which account for asynchronous communication via FIFO message queues. Those programs may be written in high-level languages such as Java or Promela. We present a first approach to prove nontermination for such programs. In addition to integers, the programs that we consider may contain queues as data...

متن کامل

Alternation for Termination

Proving termination of sequential programs is an important problem, both for establishing the total correctness of systems and as a component of proving more general termination and liveness properties. We present a new algorithm, TREX, that determines if a sequential program terminates on all inputs. The key characteristic of TREX is that it alternates between refining an overapproximation and...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014