The size-change principle for program termination
POPL '01 Proceedings of the 28th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Weak alternating automata are not that weak
ACM Transactions on Computational Logic (TOCL)
Proceedings of the 12th Colloquium on Automata, Languages and Programming
A Hierarchy of Polynomial-Time Computable Simulations for Automata
CONCUR '02 Proceedings of the 13th International Conference on Concurrency Theory
Efficient Büchi Automata from LTL Formulae
CAV '00 Proceedings of the 12th International Conference on Computer Aided Verification
Checking for Language Inclusion Using Simulation Preorders
CAV '91 Proceedings of the 3rd International Workshop on Computer Aided Verification
Verification of Fair Transisiton Systems
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Computing simulations on finite and infinite graphs
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
Fair Simulation Relations, Parity Games, and State Space Reduction for Büchi Automata
SIAM Journal on Computing
Büchi Complementation and Size-Change Termination
TACAS '09 Proceedings of the 15th International Conference on Tools and Algorithms for the Construction and Analysis of Systems: Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2009,
Improved algorithms for the automata-based approach to model-checking
TACAS'07 Proceedings of the 13th international conference on Tools and algorithms for the construction and analysis of systems
BEEM: benchmarks for explicit model checkers
Proceedings of the 14th international SPIN conference on Model checking software
Antichains: a new algorithm for checking universality of finite automata
CAV'06 Proceedings of the 18th international conference on Computer Aided Verification
Simulation subsumption in ramsey-based büchi automata universality and inclusion testing
CAV'10 Proceedings of the 22nd international conference on Computer Aided Verification
TACAS'10 Proceedings of the 16th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Efficient büchi universality checking
TACAS'10 Proceedings of the 16th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Improved ramsey-based büchi complementation
FOSSACS'12 Proceedings of the 15th international conference on Foundations of Software Science and Computational Structures
Ramsey-Based analysis of parity automata
TACAS'12 Proceedings of the 18th international conference on Tools and Algorithms for the Construction and Analysis of Systems
Advanced automata minimization
POPL '13 Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part II
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Checking language inclusion between two nondeterministic Büchi automata A and B is computationally hard (PSPACE-complete). However, several approaches which are efficient in many practical cases have been proposed. We build on one of these, which is known as the Ramsey-based approach. It has recently been shown that the basic Ramsey-based approach can be drastically optimized by using powerful subsumption techniques, which allow one to prune the search-space when looking for counterexamples to inclusion. While previous works only used subsumption based on set inclusion or forward simulation on A and B, we propose the following new techniques: (1) A larger subsumption relation based on a combination of backward and forward simulations on A and B. (2) A method to additionally use forward simulation between A and B. (3) Abstraction techniques that can speed up the computation and lead to early detection of counterexamples. The new algorithm was implemented and tested on automata derived from real-world model checking benchmarks, and on the Tabakov-Vardi random model, thus showing the usefulness of the proposed techniques.