Constraint-Based Abstract Semantics for Temporal Logic: A Direct Approach to Design and Implementation

作者: Gourinath Banda , John P. Gallagher

DOI: 10.1007/978-3-642-17511-4_3

关键词:

摘要: Abstract interpretation provides a practical approach to verifying properties of infinite-state systems. We apply the framework abstract derive an semantic function for modal µ-calculus, which is basis model checking. The constructed directly from standard concrete semantics together with Galois connection between state-space and domain. There no need mixed or transition systems arbitrary temporal properties, as in previous work area Using µ-calculus implement CTL, gives over-approximation set states CTL formula holds. Then we show that this leads effective implementation checking algorithm using domains based on linear constraints. makes use SMT solver. describe implemented system proving hybrid automata give some experimental results.

参考文章(53)
Christoph Brzoska, Temporal Logic Programming in Dense Time. ILPS. pp. 303- 317 ,(1995)
Flemming Nielson, Hanne R Nielson, Chris Hankin, None, International Workshop on Principles of Program Analysis ,(1999)
Florence Benoy, Andy King, Inferring argument size relationships with CLP(\(\mathcal{R}\)) International Workshop on Logic Programming Synthesis and Transformation. pp. 204- 223 ,(1996) , 10.1007/3-540-62718-9_12
Nicolas Halbwachs, Yann -Eric Proy, Pascal Raymond, Verification of linear hybrid systems by means of convex approximations static analysis symposium. pp. 223- 237 ,(1994) , 10.1007/3-540-58485-4_43
Michael Leuschel, Thierry Massart, Infinite State Model Checking by Abstract Interpretation and Program Specialisation logic-based program synthesis and transformation. pp. 62- 81 ,(1999) , 10.1007/10720327_5
Patrick Cousot, Radhia Cousot, Refining Model Checking by Abstract Interpretation automated software engineering. ,vol. 6, pp. 69- 95 ,(1999) , 10.1023/A:1008649901864
Hassen Saïdi, Natarajan Shankar, Abstract and Model Check While You Prove computer aided verification. pp. 443- 454 ,(1999) , 10.1007/3-540-48683-6_38
Robin Milner, Bigraphical Reactive Systems international conference on concurrency theory. pp. 16- 35 ,(2001) , 10.1007/3-540-44685-0_2
Patrice Godefroid, Michael Huth, Radha Jagadeesan, Abstraction-Based Model Checking Using Modal Transition Systems international conference on concurrency theory. pp. 426- 440 ,(2001) , 10.1007/3-540-44685-0_29
Hybrid Systems: Computation and Control. Defense Technical Information Center. ,(1998) , 10.1007/3-540-64358-3