In much of the theoretical literature on wireless algorithms, issues of message dissemination are considered together with issues of contention management. This combination leads to complicated algorithms and analysis, and makes it difficult to extend the work to harder communication problems. In this paper, we present results of a current project aimed at simplifying such algorithms and analysis by decomposing the treatment into two levels, using abstract "MAC layer" specifications to encapsulate the contention management. We use two different abstract MAC layers: the basic one of [14,15] and a new probabilistic layer. We first present a typical randomized contention-manageent algorithm for a standard graph-based radio network model We show that it implements both abstract MAC layers. We combine this algorithm with greedy algorithms for singlemessage and multi-message global broadcast and analyze the combination, using both abstract MAC layers as intermediate layers. Using the basic MAC layer, we prove a bound of O(D log( n ) log ∆) for the time to deliver a single message everywhere with probability 1 − , where D is the network diameter, n is the number of nodes, and ∆ is the maximum node degree. Using the probabilistic layer, we prove a bound of O((D + log( n )) log ∆), which matches the best previously-known bound for single-message broadcast over the physical network model. For multi-message broadcast, we obtain bounds of O((D + k∆) log( n ) log ∆) using the * Research supported by AFOSR contract FA9550-08-1-0159 and NSF grants CCF-0726514, CNS-0715397 and CCF-0937274.† The work of this author was supported by the NSERC postdoctoral fellowship. ‡ The work of this author was supported by the Engineering and Physical Sciences Research Council [grant numbers EP/G023018/1, EP/H018816/1].Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. DIALM-POMC'10, September 16, 2010, Cambridge, MA, USA. Copyright 2010 ACM 978-1-4503-0413-9/10/09 ...$10.00.basic layer and O((D + k∆ log( n )) log ∆) using the probabilistic layer, for the time to deliver a message everywhere in the presence of at most k concurrent messages.