Characteristic formulae for processes with divergence
Information and Computation
Decidability of DPDA equivalence
Theoretical Computer Science
Deciding bisimulation-like equivalences with finite-state processes
Theoretical Computer Science
Pushdown processes: games and model-checking
Information and Computation - Special issue on FLOC '96
Weak bisimilarity between finite-state systems and BPA or normed BPP is decidable in polynomial time
Theoretical Computer Science
Simulation preorder over simple process algebras
Information and Computation
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
On the Complexity of Semantic Equivalences for Pushdown Automata and BPA
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
Strong Bisimilarity and Regularity of Basic Parallel Processes Is PSPACE-Hard
STACS '02 Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science
On the Ehrenfeucht-Fraïssé Game in Theoretical Computer Science
TAPSOFT '93 Proceedings of the International Joint Conference CAAP/FASE on Theory and Practice of Software Development
High Undecidability of Weak Bisimilarity for Petri Nets
TAPSOFT '95 Proceedings of the 6th International Joint Conference CAAP/FASE on Theory and Practice of Software Development
Model Checking CTL Properties of Pushdown Systems
FST TCS 2000 Proceedings of the 20th Conference on Foundations of Software Technology and Theoretical Computer Science
On the Complexity of Bisimulation Problems for Pushdown Automata
TCS '00 Proceedings of the International Conference IFIP on Theoretical Computer Science, Exploring New Frontiers of Theoretical Informatics
On Simulation-Checking with Sequential Systems
ASIAN '00 Proceedings of the 6th Asian Computing Science Conference on Advances in Computing Science
Decidability of Bisimulation Equivalence for Equational Graphs of Finite Out-Degree
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
On the Complexity of Semantic Equivalences for Pushdown Automata and BPA
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
Undecidability of Weak Bisimilarity for Pushdown Processes
CONCUR '02 Proceedings of the 13th International Conference on Concurrency Theory
Why Is Simulation Harder than Bisimulation?
CONCUR '02 Proceedings of the 13th International Conference on Concurrency Theory
Equivalence-Checking with Infinite-State Systems: Techniques and Results
SOFSEM '02 Proceedings of the 29th Conference on Current Trends in Theory and Practice of Informatics: Theory and Practice of Informatics
The complexity of bisimilarity-checking for one-counter processes
Theoretical Computer Science
Weak bisimilarity and regularity of context-free processes is EXPTIME-hard
Theoretical Computer Science - Expressiveness in concurrency
Equivalence-checking on infinite-state systems: Techniques and results
Theory and Practice of Logic Programming
A general approach to comparing infinite-state systems with their finite-state specifications
Theoretical Computer Science - Concurrency theory (CONCUR 2004)
Undecidability of bisimilarity by defender's forcing
Journal of the ACM (JACM)
Information and Computation
Undecidability results for bisimilarity on prefix rewrite systems
FOSSACS'06 Proceedings of the 9th European joint conference on Foundations of Software Science and Computation Structures
Visibly pushdown automata: from language equivalence to simulation and bisimulation
CSL'06 Proceedings of the 20th international conference on Computer Science Logic
ICTAC'12 Proceedings of the 9th international conference on Theoretical Aspects of Computing
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We study the complexity of comparing pushdown automata (PDA) and context-free processes (BPA) to finite-state systems, w.r.t. strong and weak simulation preorder/equivalence and strong and weak bisimulation equivalence. We present a complete picture of the complexity of all these problems. In particular, we show that strong and weak simulation preorder (and hence simulation equivalence) is EXPTIME-complete between PDA/BPA and finite-state systems in both directions. For PDA the lower bound even holds if the finite-state system is fixed, while simulation-checking between BPA and any fixed finite-state system is already polynomial. Furthermore, we show that weak (and strong) bisimilarity between PDA and finite-state systems is PSPACE-complete, while strong (and weak) bisimilarity between two PDAs is EXPTIME-hard.