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In theoretical computer science, stuttering equivalence, a relation written as

The paths $\pi$ and $\pi '$ are stuttering equivalent.

$\pi \sim _{st}\pi '$,

can be seen as a partitioning of path $\pi$ and $\pi '$ into blocks, so that states in the $k^{\mathrm {th} }$ block of one path are labeled ($L(\cdot )$) the same as states in the $k^{\mathrm {th} }$ block of the other path. Corresponding blocks may have different lengths.

Formally, this can be expressed as two infinite paths $\pi =s_{0},s_{1},\ldots$ and $\pi '=r_{0},r_{1},\ldots$ which are stuttering equivalent ($\pi \sim _{st}\pi '$) if there are two infinite sequences of integers $0=i_{0}<i_{1}<i_{2}<\ldots$ and $0=j_{0}<j_{1}<j_{2}<\ldots$ such that for every block $k\geq 0$ holds $L(s_{i_{k}})=L(s_{i_{k}+1})=\ldots =L(s_{i_{k+1}-1})=L(r_{j_{k}})=L(r_{j_{k}+1})=\ldots =L(r_{j_{k+1}-1})$.

Stuttering equivalence is not the same as bisimulation, since bisimulation cannot capture the semantics of the 'eventually' (or 'finally') operator found in linear temporal/computation tree logic(branching time logic)(modal logic). So-called branching bisimulation has to be used.Potter or Ceramic Artist Truman Bedell from Rexton, has interests which include ceramics, best property developers in singapore developers in singapore and scrabble. Was especially enthused after visiting Alejandro de Humboldt National Park.

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