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Pure Sequent Calculi: Analyticity and Decision Procedure
Analyticity, also known as the subformula property, typically guarantees decidability of derivability in propositional sequent calculi. To utilize this fact, two substantial gaps have to be addressed: (i) What makes a sequent calculus analytic? and (ii) ...
Binary Reachability of Timed-register Pushdown Automata and Branching Vector Addition Systems
Timed-register pushdown automata constitute a very expressive class of automata, whose transitions may involve state, input, and top-of-stack timed registers with unbounded differences. They strictly subsume pushdown timed automata of Bouajjani et al., ...
A SAT Approach to Branchwidth
Branch decomposition is a prominent method for structurally decomposing a graph, a hypergraph, or a propositional formula in conjunctive normal form. The width of a branch decomposition provides a measure of how well the object is decomposed. For many ...
On the Verification of Livelock-Freedom and Self-Stabilization on Parameterized Rings
This article investigates the verification of livelock-freedom and self-stabilization on parameterized rings consisting of symmetric, constant space, deterministic, and self-disabling processes. The results of this article have a significant impact on ...
1-Safe Petri Nets and Special Cube Complexes: Equivalence and Applications
Nielsen et al. [35] proved that every 1-safe Petri net N unfolds into an event structure EN. By a result of Thiagarajan [46], these unfoldings are exactly the trace-regular event structures. Thiagarajan [46] conjectured that regular event structures ...
Parallel-Correctness and Containment for Conjunctive Queries with Union and Negation
Single-round multiway join algorithms first reshuffle data over many servers and then evaluate the query at hand in a parallel and communication-free way. A key question is whether a given distribution policy for the reshuffle is adequate for computing ...