Checking that finite state concurrent programs satisfy their linear specification

@article{Lichtenstein1985CheckingTF,
  title={Checking that finite state concurrent programs satisfy their linear specification},
  author={Orna Lichtenstein and Amir Pnueli},
  journal={Proceedings of the 12th ACM SIGACT-SIGPLAN symposium on Principles of programming languages},
  year={1985}
}
  • O. Lichtenstein, A. Pnueli
  • Published 1 January 1985
  • Computer Science
  • Proceedings of the 12th ACM SIGACT-SIGPLAN symposium on Principles of programming languages
We present an algorithm for checking satisfiability of a linear time temporal logic formula over a finite state concurrent program. The running time of the algorithm is exponential in the size of the formula but linear in the size of the checked program. The algorithm yields also a formal proof in case the formula is valid over the program. The algorithm has four versions that check satisfiability by unrestricted, impartial, just and fair computations of the given program. 
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References

SHOWING 1-10 OF 34 REFERENCES
Verification of concurrent programs: a temporal proof system
TLDR
A proof system based on temporal logic is presented for proving properties of concurrent programs based on the shared-variables computation model and derived proof principles for these classes of properties obtained and lead to a compact representation of proofs.
The complexity of propositional linear temporal logics
We consider the complexity of satisfiability and determination of truth in a particular finite structure for different propositional linear temporal logics. We show that both the above problems are
The temporal logic of branching time
TLDR
The following metatheoretical results are proven: 1) an exponential decision procedure for satisfiability; 2) a finite model property; 3) the completeness of an axiomatization.
Proving Precedence Properties: The Temporal Way
TLDR
The first methodological approach to the precedence properties is presented, while providing a review of the invariance and liveness properties, based on the ''unless'' operator, which is a weak version of the ''until'' operator.
Verification of concurrent programs, Part I: The temporal framework
TLDR
The temporal formalism is introduced as a tool for reasoning about sequences of states and the set of interesting properties is classified into invariance (safety), eventuality (liveness, and precedence) properties.
Verification of Concurrent Programs: Temporal Proof Principles
TLDR
This paper presents proof methods for establishing invariance (safety) and eventuality (liveness) properties of temporal logic in concurrent programs.
Design and Synthesis of Synchronization Skeletons Using Branching-Time Temporal Logic
We have shown that it is possible to automatically synthesize the synchronization skeleton of a concurrent program from a Temporal Logic specification. We believe that this approach may in the long
"Sometime" is sometimes "not never": on the temporal logic of programs
  • L. Lamport
  • Philosophy, Computer Science
    POPL '80
  • 1980
TLDR
The logical foundations of the application of temporal logic to concurrent programs are clarified, and the relation between concurrency and nondeterminism is clarified, as well as some problems for further research.
Real-time programming and asynchronous message passing
This paper indicates a method of describing real-time processes and their asynchronous communication by means of message exchanges. This description method is based upon an extension of linear time
Towards Analyzing and Synthesizing Protocols
The production of error-free protocols or complex process interactions is essential to reliable communications. This paper presents techniques for both the detection of errors in protocols and for
...
...