Decidability of branching bisimulation on normed commutative context - PowerPoint PPT Presentation
Decidability of branching bisimulation on normed commutative context - free graphs W ojciech Czerwi ski Piotr Hofman S awomir Lasota University of W arsaw Problem Problem Given: infinite graph G, two vertices u, v Problem Given:
Negative semi - procedure • Search for a Spoiler’s winning strategy Spoiler • Di ffi culty: it has to be finite Duplicator • Strategy is winning: every path finite Spoiler • T ree is finitely - branching . . . . . . . .
Negative semi - procedure • Search for a Spoiler’s winning strategy Spoiler • Di ffi culty: it has to be finite Duplicator • Strategy is winning: every path finite Spoiler • T ree is finitely - branching . . . . . . . . • By König’s Lemma the tree is finite
Idea of the algorithm
Idea of the algorithm • Branching bisimilarity is essentially image finite
Idea of the algorithm • Branching bisimilarity is essentially image finite • It is enough to inspect only boundedly many possible Duplicator’s responses
Small response property
Small response property α β
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