Non-volatile main memory (NVM) technologies are revolutionizing the entire computing stack thanks to their storage-and-memory-like characteristics. The ability to persist data in memory provides a new opportunity to build crash-consistent software without paying a storage stack I/O overhead. A crash-consistent NVM program can recover back to a consistent state from a persistent NVM in the event of a software crash or a sudden power loss. In the presence of a volatile cache, data held in a volatile cache is lost after a crash. So NVM programming requires users to manually control the durability and the persistence ordering of NVM writes. To avoid performance overhead, developers have devised customized persistence mechanisms to enforce proper persistence ordering and atomicity guarantees, rendering NVM programs error-prone. The problem statement of this dissertation is how one can effectively detect persistence bugs from NVM programs. However, detecting persistence bugs in NVM programs is challenging because of the huge test space and the manual consistency validation required. The thesis of this dissertation is that we can detect persistence bugs from NVM programs in a scalable and automatic manner by inferring likely-correctness conditions from programs. A likely-correctness condition is a possible correctness condition, which is a condition a program must maintain to make the program crash-consistent. This dissertation proposes to infer two forms of likely-correctness conditions from NVM programs to detect persistence bugs. The first proposed solution is to infer likely-ordering and likely-atomicity conditions by analyzing program dependencies among NVM accesses. The second proposed solution is to infer likely-linearization points to understand a program's operation-level behavior. Using these two forms of likely-correctness conditions, we test only those NVM states and thread interleavings that violate the likely-correctness conditions. This significantly re- duces the test space required to examine. We then leverage the durable linearizability model to validate consistency automatically without manual consistency validation. In this way, we can detect persistence bugs from NVM programs in a scalable and automatic manner. In total, we detect 47 (36 new) persistence correctness bugs and 158 (113 new) persistence performance bugs from 20 single-threaded NVM programs. Additionally, we detect 27 (15 new) persistence correctness bugs from 12 multi-threaded NVM data structures. / Doctor of Philosophy / Non-volatile main memory (NVM) technologies provide a new opportunity to build crash-consistent software without incurring a storage stack I/O overhead. A crash-consistent NVM program can recover back to a consistent state from a persistent NVM in the event of a software crash or a sudden power loss. NVM has been and will further be used in various computing services integral to our daily life, ranging from data centers to high-performance computing, machine learning, and banking. Building correct and efficient crash-consistent NVM software is therefore crucial. However, developing a correct and efficient crash-consistent NVM program is challenging as developers are now responsible for manually controlling cacheline evictions in NVM programming. Controlling cacheline evictions makes NVM programming error-prone, and detecting persistence bugs that lead to inconsistent NVM states in NVM programs is an arduous task. The thesis of this dissertation is that we can detect persistence bugs from NVM programs in a scalable and automatic manner by inferring likely-correctness conditions from programs. This dissertation proposes to infer two forms of likely-correctness conditions from NVM programs to detect persistence bugs, i.e., likely-ordering/atomicity conditions and likely-linearization points. In total, we detect 47 (36 new) persistence correctness bugs and 158 (113 new) persistence performance bugs from 20 single-threaded NVM programs. Additionally, we detect 27 (15 new) persistence correctness bugs from 12 multi-threaded NVM data structures.