Abstract: Methods and systems are provided for dynamically generating a hint set for enhanced reachability analysis in a sequential circuitry design that is represented by a Binary Decision Diagram (BDD). After determining a ranking of the BDD variables, they are sorted in the order of the ranking. The ranking is used to select some of the variables for use in creating hints for more efficiently performing the reachability analysis in a creating an equivalent sequential circuitry design.

Abstract: A method, system and computer program product for integrating implication-based analysis and equivalent gate analysis to maintain transitive reduction in an implication graph over a sequence of graph operations. One or more gates of a design are identified that are equivalent in all reachable states. Equivalent gates are assigned to an equivalence class when all gates within the equivalence class are equal. During the implication-based analysis the system determines when one or more implication paths are associated with the one or more equivalence classes, and an implication is generated at the implication path associated with the equivalence classes. A transitively reduced graph is received depicting the implications and equivalence classes of the design. When one or more operations are assigned to the transitively reduced graph, the graph is automatically adjusted to maintain transitive reduction.

Abstract: A method, system, and computer program product for reducing the size of a logic network design, prior to verification of the logic network design. The method includes eliminating registers to reduce the size of the logic network design; thereby, increasing the speed and functionality of the verification process, and decreasing the size of the logic network design. The system identifies one or more compatible resubstitutions of a selected register, wherein the compatible resubstitution expresses the selected register as one or more pre-existing registers of fixed initial state. The resubstitutions are refined utilizing design invariants. When one more resubstitutions are preformed, the system eliminates the selected registers to reduce the size of the logic network design. As a result of the resubstitution process, a logic network design of reduced size is generated.

Abstract: A method for performing verification is disclosed. The method includes selecting a set of gates to add to a first localization netlist and forming a refinement netlist. A min-cut is computed with sinks having one or more gates in the refinement netlist and sources comprising one or more inputs of an original netlist and one or more registers registers of the original netlist which are not part of the refinement netlist. A final localized netlist is obtained by adding one or more gates to the refinement netlist to grow the refinement netlist until reaching one or more cut-gates of the min-cut.

Abstract: A technique for conditional sequential equivalence checking of logic designs embodied in netlists includes creating an equivalence-checking netlist over a first netlist and a second netlist. The conditional sequential equivalence checking includes conditions under which equivalences of the first and second netlists are checked. The technique derives a set of candidate conditional equivalence invariants for each correlated gate in a correlated gate pair set and attempts to prove that each candidate conditional equivalence invariant in the set of candidate conditional equivalence invariants is accurate. The candidate conditional equivalence invariants that cannot be proven accurate are removed from the set of candidate conditional equivalence invariants. The candidate conditional equivalence invariants that have been proven accurate are recorded as a set of conditional equivalence invariants.

Abstract: A mechanism is provided for increasing the scalability of formal verification solutions through enabling the use of input reparameterization on logic models that include memory arrays. A pre-processing mechanism enables the selection of a cut-based design partition which enables optimal reductions though input reparameterization given a netlist with constraints. A post-processing mechanism next prevents input reparameterization from creating topologically inconsistent models in the presence of arrays. Additionally, this technique may be used to rectify inconsistent topologies that may arise when reparameterizing even netlists without arrays, namely false sequential dependencies across initialization constructs. Furthermore, a mechanism is provided to undo the effects of memory array based input reparameterization on verification results.

Abstract: A method, system and computer program product for X-Saturated ternary simulation based reduction. An X-Saturated ternary simulation (XSTS) utility, which executes on a computer system, receives design information, where the design information includes a netlist. The XSTS utility initializes one or more data structures and/or variables and simulates, in a ternary fashion, the netlist at a time value by applying logical X values to all RANDOM gates of the netlist and to registers marked X_SATURATED. For each register of the netlist XSTS utility: determines whether or not the register departs from its expected prefix behavior, and if the register departs from its expected prefix behavior, the register is marked as X_SATURATED and the current state is updated with an X value upon the register. XSTS utility can store the current state in a data structure and can use the information from the data structure to simplify the design.

Abstract: A mechanism is provided for efficient redundancy identification, redundancy removal, and sequential equivalence checking with designs including memory arrays. The mechanism includes an array merging component to optimally merge an array output such that if the address is out-of-bounds or the port is not asserted, the array output is converted to a random output. The mechanism also includes a component for determining the equivalence of enabled array outputs rather than the array outputs directly and creating an enabled array output. The mechanism also includes a component that precludes potentially-redundant array cells from participating in the sequential redundancy removal determination. This component first checks for compatibility of the corresponding arrays, then the corresponding read port enables and addresses, then the corresponding initial values, and finally checking that writes to the corresponding columns yield a compatible set of values.

Abstract: A method of verifying a software system includes receiving a description of a software system described utilizing a high-level modeling language, and responsive thereto, parsing the description and constructing an abstract syntax graph. The abstract syntax graph is transformed into a sequential logic representation of the software system. The sequential logic representation is formed by reference to a Hardware Description Language (HDL) library. Then, the sequential logic representation is transformed into a gate-level sequential logic representation. Following the transforming, the software system is verified based upon the gate-level sequential logic representation. Following verification, results of verification of the software system are output.

Abstract: Mechanisms are provided for refining an abstraction of a netlist for verification or synthesis of an integrated circuit design. The mechanisms receive an abstracted netlist corresponding to an original netlist of the integrated circuit design. The mechanisms determine elements already present in the abstracted netlist and refine the abstracted netlist by expanding the abstracted netlist to include additional elements that are correlated with the elements already present in the abstracted netlist to thereby generate a refined abstracted netlist. In addition, the mechanisms utilize the refined abstracted netlist to perform at least one of verification or synthesis of the integrated circuit design.

Abstract: A technique for performing an analysis of a logic design (that includes a native memory array embodied in a netlist) includes detecting an initial transient behavior in the logic design as embodied in the netlist. The technique also includes determining a duration of the initial transient behavior and gathering reduction information on the logic design based on the initial transient behavior. The netlist is then modified based on the reduction information.

Abstract: Methods and systems are provided for producing more efficient digital circuitry designs by identifying trace-containment for a sequential circuitry design netlist through the use of constraint-based uncorrelated equivalence checking. A set of candidate input netlist sets n1 and n2 is first uncorrelated and then submitted for equivalence checking. Mismatches discovered during the equivalence checking are avoided by imposing constraint to the input set until discovering an equivalency relationship between the input sets n1 and n2.

Abstract: A system for performing verification includes a means for: importing a design netlist containing component(s), computing output function(s) for the component(s), generating output equivalent state set(s) from the output function(s), identifying next-state function(s) for the component(s), means for producing image equivalent state set(s) for the next-state function(s), means for classifying output-and-image equivalent state set(s) for the image equivalent state set(s) and the output equivalent state set(s), getting a preimage from the next-state function(s) and the output-and-image equivalent state(s) to generate a preimage of the output-and-image equivalent state(s), partitioning over original state(s) of the component(s), and equivalent class input set(s) of the component(s).

Abstract: Mechanisms are provided in a design environment for minimizing memory array representations for enhanced synthesis and verification. The design environment comprises one mechanism to compress the width of arrays using disconnected pin information. The design environment comprises another mechanism to simplify the enable conditions of array ports using “don't care” computations. The design environment comprises yet another mechanism to reduce address pins from an array through analysis of limitations of readable addresses.

Abstract: Mechanisms are provided in a design environment for array concatenation. The design environment comprises one mechanism to concatenate arrays with enable- and address-compatible ports, thereby reducing the number of arrays in a netlist. The design environment comprises another mechanism to migrate read ports from one array to another based upon compatible enable-, address-, and data-compatible write ports, thereby reducing the number of arrays in a netlist. The design environment comprises yet another mechanism to eliminate unnecessary arrays.

Abstract: Mechanisms are provided in a design environment for eliminating, coalescing, or bypassing ports. The design environment comprises one mechanism to eliminate unnecessary ports in arrays using disabled and disconnected pin information. The design environment may comprise another mechanism to combine and reduce the number of array ports using address comparisons. The design environment may comprise another mechanism to combine and reduce the number of array ports using disjoint enable comparisons. The design environment may comprise one mechanism to combine and reduce the number of array ports using “don't care” computations. The design environment may comprise another mechanism to reduce the number of array ports through bypassing write-to-read paths around arrays.

Abstract: A mechanism is provided in an integrated circuit simulator for tracking array data contents across three-value read and write operations. The mechanism accounts for write operations with data values and address values having X symbols. The mechanism performs writes to a tree data structure that is used to store the three-valued contents to the array. The simulator includes functionality for updating the array contents for a three-valued write and to read data for a three-valued read. The simulator also includes optimizations for dynamically reducing the size of the data structure when possible in order to save memory in the logic simulator.

Abstract: A mechanism is provided for efficient redundancy identification, redundancy removal, and sequential equivalence checking with designs including memory arrays. The mechanism includes an array merging component to optimally merge an array output such that if the address is out-of-bounds or the port is not asserted, the array output is converted to a random output. The mechanism also includes a component for determining the equivalence of enabled array outputs rather than the array outputs directly and creating an enabled array output. The mechanism also includes a component that precludes potentially-redundant array cells from participating in the sequential redundancy removal determination. This component first checks for compatibility of the corresponding arrays, then the corresponding read port enables and addresses, then the corresponding initial values, and finally checking that writes to the corresponding columns yield a compatible set of values.

Abstract: A mechanism is provided for increasing the scalability of formal verification solutions through enabling the use of input reparameterization on logic models that include memory arrays. A pre-processing mechanism enables the selection of a cut-based design partition which enables optimal reductions though input reparameterization given a netlist with constraints. A post-processing mechanism next prevents input reparameterization from creating topologically inconsistent models in the presence of arrays. Additionally, this technique may be used to rectify inconsistent topologies that may arise when reparameterizing even netlists without arrays, namely false sequential dependencies across initialization constructs. Furthermore, a mechanism is provided to undo the effects of memory array based input reparameterization on verification results.

Abstract: A mechanism is provided for increasing the scalability of transformation-based formal verification solutions through enabling the use of phase abstraction on logic models that include memory arrays. The mechanism manipulates the array to create a plurality of copies of its read and write ports, representing the different modulo time frames. The mechanism converts all write-before-read arrays to read-before-write and adds a bypass path around the array from write ports to read ports to capture any necessary concurrent read and write forwarding. The mechanism uses an additional set of bypass paths to ensure that the proper write data that becomes effectively concurrent through the unfolding inherent in phase abstraction is forwarded to the proper read port. If a given read port is disabled or fetches out-of-bounds data, the mechanism applies randomized data to the read port data output.