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"Rolf Birkhölzer (born 29 September 1949) is a former German footballer. The goalkeeper started playing football at the age of nineteen for 1. FC Köln. He also played for KSV Hessen Kassel, VfB Gießen and TuSpo Ziegenhain in a playing career that lasted thirteen years and finished in 1981. He later became the coach of FSV Frankfurt, Schrecksbach, Bad Homburg and TuSpo Ziegenhain. Birkhölzer played seven internationals for Germany's youth side. References 1949 births Living people German footballers 1. FC Köln players 1. FC Köln II players KSV Hessen Kassel players Bundesliga players Association football goalkeepers "
"In electronic design automation, functional verification is the task of verifying that the logic design conforms to specification. In everyday terms, functional verification attempts to answer the question "Does this proposed design do what is intended?" This is a complex task, and takes the majority of time and effort in most large electronic system design projects. Functional verification is a part of more encompassing design verification, which, besides functional verification, considers non-functional aspects like timing, layout and power. Functional verification is very difficult because of the sheer volume of possible test-cases that exist in even a simple design. Frequently there are more than 10^80 possible tests to comprehensively verify a design – a number that is impossible to achieve in a lifetime. This effort is equivalent to program verification, and is NP-hard or even worse – and no solution has been found that works well in all cases. However, it can be attacked by many methods. None of them are perfect, but each can be helpful in certain circumstances: *Logic simulation simulates the logic before it is built. *Simulation acceleration applies special purpose hardware to the logic simulation problem. *Emulation builds a version of system using programmable logic. This is expensive, and still much slower than the real hardware, but orders of magnitude faster than simulation. It can be used, for example, to boot the operating system on a processor. *Formal verification attempts to prove mathematically that certain requirements (also expressed formally) are met, or that certain undesired behaviors (such as deadlock) cannot occur. *Intelligent verification uses automation to adapt the testbench to changes in the register transfer level code. *HDL-specific versions of lint, and other heuristics, are used to find common problems. Simulation based verification (also called 'dynamic verification') is widely used to "simulate" the design, since this method scales up very easily. Stimulus is provided to exercise each line in the HDL code. A test-bench is built to functionally verify the design by providing meaningful scenarios to check that given certain input, the design performs to specification. A simulation environment is typically composed of several types of components: *The generator generates input vectors that are used to search for anomalies that exist between the intent (specifications) and the implementation (HDL Code). This type of generator utilizes an NP-complete type of SAT Solver that can be computationally expensive. Other types of generators include manually created vectors, Graph- Based generators (GBMs) proprietary generators. Modern generators create directed-random and random stimuli that are statistically driven to verify random parts of the design. The randomness is important to achieve a high distribution over the huge space of the available input stimuli. To this end, users of these generators intentionally under-specify the requirements for the generated tests. It is the role of the generator to randomly fill this gap. This mechanism allows the generator to create inputs that reveal bugs not being searched for directly by the user. Generators also bias the stimuli toward design corner cases to further stress the logic. Biasing and randomness serve different goals and there are tradeoffs between them, hence different generators have a different mix of these characteristics. Since the input for the design must be valid (legal) and many targets (such as biasing) should be maintained, many generators use the constraint satisfaction problem (CSP) technique to solve the complex testing requirements. The legality of the design inputs and the biasing arsenal are modeled. The model-based generators use this model to produce the correct stimuli for the target design. *The drivers translate the stimuli produced by the generator into the actual inputs for the design under verification. Generators create inputs at a high level of abstraction, namely, as transactions or assembly language. The drivers convert this input into actual design inputs as defined in the specification of the design's interface. *The simulator produces the outputs of the design, based on the design's current state (the state of the flip-flops) and the injected inputs. The simulator has a description of the design net-list. This description is created by synthesizing the HDL to a low gate level net-list. *The monitor converts the state of the design and its outputs to a transaction abstraction level so it can be stored in a 'score-boards' database to be checked later on. *The checker validates that the contents of the 'score- boards' are legal. There are cases where the generator creates expected results, in addition to the inputs. In these cases, the checker must validate that the actual results match the expected ones. *The arbitration manager manages all the above components together. Different coverage metrics are defined to assess that the design has been adequately exercised. These include functional coverage (has every functionality of the design been exercised?), statement coverage (has each line of HDL been exercised?), and branch coverage (has each direction of every branch been exercised?). Tools * Aldec * Arrow Devices * Avery Design Systems: SimCluster (for parallel logic simulation) and Insight (for formal verification) * Breker Verification Systems, Inc.: Trek (a model-based test generation tool for complex SoCs) * Cadence Design Systems * EVE/ZeBu * Mentor Graphics * Nusym Technology * Obsidian Software * OneSpin Solutions * Synopsys * Valtrix Systems: Sting (a versatile design verification tool for complex SoC/CPU implementations) See also * Analog verification * Cleanroom software engineering * High-level verification References Electronic circuit verification "
"Isaac Brokaw (March 9, 1746 – September 16, 1826) was a clockmaker from New Jersey. Biography Brokaw was born in Raritan in Somerset County, but would leave for Elizabethtown where he would work as an apprentice under Aaron Miller, a renowned clockmaker. He would later marry Miller's daughter, Elizabeth Miller. In 1770, Brokaw was living in Bridgewater when a local judge ordered that his property be sold off in order to pay off his outstanding debts. However, he was allowed to keep 30 lb of lead in order to continue his trade. Shortly thereafter he would again leave for Elizabeth, where he would produce some of his first significant works. Aaron Miller died in 1778, and left part of his clockmaking tools to him as his son-in-law. In 1790 Isaac and Elizabeth relocated to Bridge Town (today known as Rahway). The style practiced by Miller and Brokaw is of a decidedly Dutch tradition, as Central Jersey, particularly around Somerset County, was known as an early Dutch settlement. They had three sons, Aaron, Cornelius, and John. Aaron, the eldest of them, took up the trade of clockmaking, having been taught by his father. References External links *Drake House/Historical Society of Plainfield 1746 births 1826 deaths People from Rahway, New Jersey People from Raritan, New Jersey People of colonial New Jersey American clockmakers "