Abstract : The semiconductor industry faces unprecedented verification challenges as modern system-on-chip designs integrate billions of transistors across heterogeneous subsystems operating in multiple clock and power domains. This article presents a comprehensive framework for modern VLSI design verification, examining the critical methodologies required to validate contemporary integrated circuits before fabrication. The article explores static verification techniques including linting, clock domain crossing analysis, and power intent verification that identify structural issues early in the design cycle. Dynamic simulation approaches incorporating constrained-random verification, coverage-driven methodologies, and assertion-based checking are analyzed for their effectiveness in exploring vast design state spaces. The article investigates formal verification methods including equivalence checking and property checking, discussing their exhaustive validation capabilities within finite state spaces and inherent scalability limitations. Hardware-accelerated verification platforms including emulation systems and FPGA-based prototyping are examined, demonstrating their essential role in enabling early software development and system-level validation at execution speeds orders of magnitude faster than traditional simulation. Industry article from leading semiconductor companies illustrate practical deployment of hybrid verification strategies combining complementary approaches to achieve comprehensive validation. The article synthesizes current best practices in verification methodology, emphasizing the strategic integration of multiple verification paradigms to address the multidimensional correctness requirements of contemporary semiconductor designs while managing complexity, ensuring reliability, and accelerating time-to-market in an increasingly competitive landscape.