Language support to enable programming by contract offers a systematic approach to the development and verification of object oriented programs [M93]. An object behavior is locally defined in terms of obligations (preconditions) and benefits (postconditions). Concurrent object-oriented programming seems to be an appealing idea because it imposes structure on objects' communication. Since structure of a tightly-coupled, interprocess dependent concurrent program is more than the simple collection of its objects, set of local assertions is not enough to capture cooperation among the different objects. A complementary view which depicts the cooperation among different objects is needed. The concept of communication-closed layers [EF82] is extended for object-oriented concurrent programming. The synergy between concurrent object-oriented programming and layering enables dual reflections of a program as both a collection of objects and a sequence of subgoals achieved by inter-object cooperation. On top of Meyer's intra-object programming by contract we propose inter-object contracts. Intra-object contracts are used for the verification of object state consistency, and inter-object contracts, called teamwork assertions, are used for ensuring cooperation among objects. We view a concurrent program as a CHESSBOARD. The columns are the different objects/tasks and the rows are the program layers. Every square on the board is a logical component of both an object/task and a layer. Our proposal enables a horizontal decomposition of concurrent programs on top of its vertical decomposition into objects/tasks. This synergy, we believe, could make existing design and verification methods for concurrent programming more applicable as teamwork assertions are used to decompose complex programs. The concept neither introduces any physical synchronization barrier among layers nor relies on particular computer architecture and programming language. CHESSBOARD is most beneficial for applications where the objects/tasks are tightly bounded to compute a common objective. We present a simple example of a concurrent program viewed as a CHESSBOARD. The program runs on a Sun workstation using Concurrent C++.