This paper presents the design of a Coherence-Free Processor (CFP) that enables a scalable multiprocessor by eliminating cache coherence operations in both hardware and software. The CFP uses a coherence-free cache (CFC) that can improve the cost-effectiveness and performance-effectiveness of the existing multiprocessors for commonly used workloads. The CFC is feasible because not all program data that reside in a multiprocessor cache need to be accessed by other processors, and private caches at level 1 (L1) and level 2 (L2) facilitate this method of sharing. Reentrant programs are specifically designed to protect their data from modification by other tasks. Program data that are modified but not shared with other tasks do not require a coherence protocol. Adding processors reduces the multitasking queue, reducing elapsed time. Simultaneous execution replaces concurrent execution.