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Stephan Spengler

Publications and source records attributed to Stephan Spengler.

6 recordsLinked to original sources

On the Verification Problem of Remote Direct Memory Access programs (Extended Version with Appendix)

Remote Direct Memory Access (RDMA) is a technology that allows direct memory access from the memory of one computer into that of another without involving either one's operating system. This enables high-throughput, low-latency networking, which is especially useful in massively parallel computer clusters. In this paper, we study the reachability and robustness problems for RDMA programs. We show that reachability is undecidable in general, even for a restricted fragment of the model. We then focus on robustness, which asks whether a program exhibits the same behaviours under the RDMA and sequential consistency (SC) semantics, and prove that this problem is decidable. Our central technical result establishes a normal form for robustness violations, showing that any non-robust program admits a violating execution of a specific form. We then leverage this normal form to obtain a decision procedure that reduces robustness to reachability in finite-state programs with counters, yielding an EXPSPACE upper bound in the general case, and a PSPACE upper bound in the absence of poll operations. Finally, we also show that both of these bounds are optimal.

cs.LO

Reachability and Safety Games under TSO Semantics

We consider games played on the transition graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case between the concurrent processes and the nondeterministic TSO buffer updates. In our formulation, the game is played by two players, who alternatingly make a move: The process player can execute any enabled instruction of the processes, while the update player takes care of updating the messages in the buffers that are between each process and the shared memory. We show that the reachability and safety problem of this game reduce to the analysis of single-process (non-concurrent) programs. In particular, they exhibit only finite-state behaviour. Because of this, we introduce different notions of fairness, which force the two players to behave in a more realistic way. Both the reachability and safety problem then become undecidable.

cs.LO

Reachability and Safety Games under TSO Semantics (Extended Version)

We consider games played on the transtion graph of concurrent programs running under the Total Store Order (TSO) weak memory model. Games are frequently used to model the interaction between a system and its environment, in this case between the concurrent processes and the nondeterminisitic TSO buffer updates. The game is played by two players, who alternatingly make a move: The process player can execute any enabled instruction of the processes, while the update player takes care of updating the messages in the buffers that are between each process andthe shared memory. We show that the reachability and safety problem of this game reduce to the analysis of single-process (non-concurrent) programs. In particular, they exhibit only finite-state behaviour. Because of this, we introduce different notions of fairness, which force the two players to behave in a more realistic way. Both the reachability and safety problem then become undecidable.

cs.GT

TSO Games -- On the decidability of safety games under the total store order semantics

We consider an extension of the classical Total Store Order (TSO) semantics by expanding it to turn-based 2-player safety games. During her turn, a player can select any of the communicating processes and perform its next transition. We consider different formulations of the safety game problem depending on whether one player or both of them transfer messages from the process buffers to the shared memory. We give the complete decidability picture for all the possible alternatives.

cs.GT

TSO Games -- On the decidability of safety games under the total store order semantics (extended LMCS version with appendix)

We consider an extension of the classical Total Store Order (TSO) semantics by expanding it to turn-based 2-player safety games. During her turn, a player can select any of the communicating processes and perform its next transition. We consider different formulations of the safety game problem depending on whether one player or both of them transfer messages from the process buffers to the shared memory. We give the complete decidability picture for all the possible alternatives.

cs.GT

Parameterized Verification under TSO with Data Types

We consider parameterized verification of systems executing according to the total store ordering (TSO) semantics. The processes manipulate abstract data types over potentially infinite domains. We present a framework that translates the reachability problem for such systems to the reachability problem for register machines enriched with the given abstract data type. We use the translation to obtain tight complexity bounds for TSO-based parameterized verification over several abstract data types, such as push-down automata, ordered multi push-down automata, one-counter nets, one-counter automata, and Petri nets. We apply the framework to get complexity bounds for higher order stack and counter variants as well.

cs.FL