# A partial approach to model checking

@article{Godefroid1991APA, title={A partial approach to model checking}, author={Patrice Godefroid and Pierre Wolper}, journal={[1991] Proceedings Sixth Annual IEEE Symposium on Logic in Computer Science}, year={1991}, pages={406-415} }

A model-checking method for linear-time temporal logic that avoids the state explosion due to the modeling of concurrency by interleaving is presented. The method relies on the concept of the Mazurkiewicz trace as a semantic basis and uses automata-theoretic techniques, including automata that operate on words of ordinality higher than omega . In particular, automata operating on words of length omega *n, n in omega are defined. These automata are studied, and an efficient algorithm to check…

## 56 Citations

Protocol Specification, Testing and Verification XV

- Computer ScienceIFIP Advances in Information and Communication Technology
- 1996

A tableau-based algorithm for obtaining an automaton from a temporal logic formula geared towards being used in model checking in an "on-the-fly" fashion, that is the automaton can be constructed simultaneously with, and guided by, the generation of the model.

A partial order approach to branching time logic model checking

- Computer ScienceProceedings Third Israel Symposium on the Theory of Computing and Systems
- 1995

The paper shows, for the first time, how this approach can be applied to languages that model the behavior of a program as a tree, e.g., the logics CTL and CTL* and process algebras such as CCS.

Using asynchronous Büchi automata for efficient automatic verification of concurrent systems

- Computer SciencePSTV
- 1995

An efficient method for verifying that a protocol satisfies its Asynchronous Buchi Automaton specification is presented, and can be used to check the validity of specification languages that can be translated into such automata, such as Thiagarajan’s TrPTL.

Symbolic Model Checking : IO * ’ States and Beyond *

- Computer Science
- 1992

A model checking algorithm for MuCalculus formulas that uses Bryant’s Binary Decision Diagrams to represent relations and formulas and can be used to derive efficient decision procedures for CTL model checking, satistiability of linear-time temporal logic formulas, strong and weak observational equivalence of finite transition systems, and language containment for finite w-automata.

Computer Aided Verification

- Computer Science
- 2008

This paper unify these two frameworks in the linear time setting for the specification of stutter-invariant properties, which are used in the context of partial-order verification, and shows that the improved practical algorithms for converting LTL formulas to automata can be modified to incorporate this extension to LTL with the same benefits.

Compact Data Structures and State-Space Reduction for Model-Checking Real-Time Systems

- Computer ScienceReal-Time Systems
- 2004

A compact data structure for representing clock constraints is presented based on an O(n3) algorithm which, given a constraint system over real-valued variables consisting of bounds on differences, constructs an equivalent system with a minimal number of constraints.

An Automata-Theoretic Approach to Infinite-State Systems

- Computer ScienceEssays in Memory of Amir Pnueli
- 2010

An automata-theoretic framework for reasoning about infinite-state sequential systems based on the observation that states of such systems can be viewed as nodes in an infinite tree, and transitions between states can be simulated by finite-state automata.

Compositional model-checking for real-time systems

- Computer ScienceSOEN
- 1998

A quotient construction is presented, which allows timed automata components to be gradually moved from the network expression into the specification and the intermediate specifications are kept small using minimization heuristics suggested by Andersen.

Linear-Time Temporal LogicandB uchi Automata

- Computer Science
- 1997

This work presents a self-contained introduction to the basic techniques used for automated verification of finite-state systems using Büchi automata, and describes some recent spaceefficient techniques which work on-the-fly.

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