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In this paper, we propose an inductive approach to prove positive almost sure termination of probabilistic rewriting under the innermost strategy. We extend to the probabilistic case a technique we proposed for termination of usual rewriting under strategies. The induction principle consists in assuming that terms smaller than the starting terms for an induction ordering are positively almost surely terminating. The proof is developed in generating proof trees, modelizing rewriting trees, indoi:10.1145/1273920.1273943 dblp:conf/ppdp/Gnaedig07 fatcat:3rdtzrr5g5g4jpcu57475etdaq