Reasoning About Bounds in Weighted Transition Systems

We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates states that exhibit transitions to bisimulation classes with...

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Published in:Logical methods in computer science Vol. 14, Issue 4
Main Authors: Hansen, Mikkel, Larsen, Kim Guldstrand, Mardare, Radu, Pedersen, Mathias Ruggaard
Format: Journal Article
Language:English
Published: Logical Methods in Computer Science e.V 01.01.2018
Subjects:
computer science - formal languages and automata theory
computer science - logic in computer science
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ISSN:1860-5974, 1860-5974
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Abstract We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates states that exhibit transitions to bisimulation classes with the weights within the same boundaries. We propose a customized modal logic that expresses these numeric boundaries for transition weights by means of particular modalities. We prove that our logic is invariant under the proposed notion of bisimulation. We show that the logic enjoys the finite model property and we identify a complete axiomatization for the logic. Last but not least, we use a tableau method to show that the satisfiability problem for the logic is decidable.
AbstractList We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a notion of bisimulation that is coarser than the classic bisimulation: it relates states that exhibit transitions to bisimulation classes with the weights within the same boundaries. We propose a customized modal logic that expresses these numeric boundaries for transition weights by means of particular modalities. We prove that our logic is invariant under the proposed notion of bisimulation. We show that the logic enjoys the finite model property and we identify a complete axiomatization for the logic. Last but not least, we use a tableau method to show that the satisfiability problem for the logic is decidable.
Author Larsen, Kim Guldstrand
Mardare, Radu
Pedersen, Mathias Ruggaard
Hansen, Mikkel
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Snippet We propose a way of reasoning about minimal and maximal values of the weights of transitions in a weighted transition system (WTS). This perspective induces a...
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computer science - logic in computer science
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