Abstract: A technique for verification of a logic design (embodied in a netlist) using a liveness-to-safety conversion includes assigning liveness gates for liveness properties of the netlist and assigning a single loop gate to provide a loop signal for the liveness gates. Assertion of the single loop gate is prevented when none of the liveness gates are asserted. A first state of the netlist is sampled and the sampled first state provides an initial state for a first behavioral loop for at least one of the liveness gates following the assertion of the single loop gate. The sampled first state of the first behavioral loop is compared with a later state of the first behavioral loop to determine if the sampled first state is repeated. A liveness violation is returned when the sampled first state is repeated and an associated one of the liveness gates remains asserted for a duration of the first behavioral loop.

Abstract: A method, system and computer program product for automated use of uninterpreted functions in sequential equivalence checking. A first netlist and a second netlist may be received and be included in an original model, and from the original model, logic to be abstracted may be determined. A condition for functional consistency may be determined, and an abstract model may be created by replacing the logic with abstracted logic using one or more uninterpreted functions. One or more functions may be performed on the abstract model. For example, the one or more functions may include one or more of a bounded model checking (BMC) algorithm, an interpolation algorithm, a Boolean satisfiability-based analysis algorithm, and a binary decision diagram (BDD) based reachability analysis algorithm, among others.

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 performing verification are disclosed. A first abstraction of an initial design netlist containing a first target is created and designated as a current abstraction, and the current abstraction is unfolded by a selectable depth. A composite target is verified using a satisfiability solver, and in response to determining that the verifying step has hit the composite target, a counterexample to is examined to identify one or more reasons for the first target to be asserted. One or more refinement pairs are built by examining the counterexample, and a second abstraction is built by composing the refinement pairs. One or more learned clauses and one or more invariants to the second abstraction and the second abstraction is chosen as the current abstraction. The current abstraction is verified with the satisfiability solver.

Abstract: A method, apparatus and computer-readable medium for conjunctive binary decision diagram building and variable quantification using case-splitting are presented. A BDD building program builds a BDD for at least one node in a netlist graph representation of a circuit design. One or more variables are selected for case-splitting. The variable is set to a constant logical value and then the other. A BDD is built for each case. The program determines whether the variable is scheduled to be quantified out. If so, the program combines the BDDs for each case according to whether the quantification is existential or universal. If the variable is not scheduled to be quantified, the program combines the BDDs for each case so that the variable is introduced back into the resulting BDD, which has a reduced number of peak live nodes.

Abstract: A method and system for performing ternary verification is disclosed. Initially, a ternary model is generated from a binary model of a logic circuit design. The pairings used to encode the ternary model are then recorded. Next, the number of the recorded gate pairings is reduced by removing all invalid gate pairings. A ternary verification is performed on the ternary model having a reduced number of gate pairings.

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 equivalence checking on logic circuit designs is disclosed. Within a composite netlist of an original version and a modified version of a logic circuit design, all level-sensitive sequential elements sensitized by a clock=0 are converted into buffers, and all level-sensitive sequential elements sensitized by a clock=1 are converted into level-sensitive registers. A subset of edge-sensitive sequential elements are selectively transformed into level-sensitive sequential elements by removing edge detection logic from the subset of the edge-sensitive sequential elements. A clock to the resulting sequential elements is then set to a logical “1” to verify the sequential equivalence of the transformed netlist.

Abstract: Mechanisms for generating constraint preserving testcases in the presence of dead-end constraints are provided. A balance between precision and computational expense in generating the testcases is achieved by establishing a sliding window of constraint solving for a selected number of K time-steps in the future from a current time-step. The testcases solve for the constraints for the next K time-steps at every state of a netlist instead of just trying to solve the constraint for the present time-step. K is determined by determining, for each input, either a minimum length path depth or maximum length depth path from the input to the constraint. The largest depth value for the inputs to the netlist is then utilized as the depth for the netlist. This depth then is used to define the width of the sliding window of constraint solving.

Abstract: A method for performing verification is disclosed. The method includes receiving a design, including one or one or more targets, one or more constraints, one or more registers and one or more inputs. A first function of one of the one or more targets over the one or more registers and the one or more inputs is computed. A second function of one or more of the one or more constraints over the one or more registers and the one or more inputs is computed. The inputs of the first function and the second function are existentially quantified. A bounded analysis is performed to determine if the one of the one or more targets may be hit while adhering to the constraints. A preimage of the inputs of the first function and a preimage of the inputs of the second function is existentially quantified to create a synthesizable preimage. The synthesizable preimage is simplified and synthesized to create an enlarged target. Verification of the enlarged target is performed.

Abstract: A system and method for performing sequential equivalence checking for asynchronous verification are provided. A first model of the integrated circuit design is provided that has additional logic in it to reflect the possible variance in behavior of the asynchronous crossings. A second model of the integrated circuit design is provided that does not have this asynchronous behavior logic but instead correlates to the simplest synchronous model that is usually used for non-asynchronous functional verification tasks. Sequential equivalence checking is performed to verify that the two models are input/output equivalent. In order to address non-uniform arrival times of bus strands, logic is provided for identifying bus strands that have transitioning bits, determining a representative delay for these strands, comparing the representative delays for all of the bus strands to determine the maximum delay for the entire bus, and applying this maximum delay to one of the models.

Abstract: A method, system and computer program product are disclosed. The method includes initializing a first variable to limit a rewrite time for rewrite operations with respect to an initial design by a rewriting module, a second variable to limit a time for satisfiability solver operations with respect to said initial design by a satisfiability solver module and a third variable to limit a maximum number of rewrite iterations with respect to said initial design. A timer is called to track said rewrite time and a local logic rewriting operation is run on said initial design with said rewrite module. In response to determining that all of all targets for said initial design netlist are not solved, whether a rewrite time is expired is determined. In response to determining that said rewrite time is not expired, AND refactoring is run. In response to determining that said rewrite time is not expired, XOR refactoring is run.

Abstract: A method, system and computer program product are disclosed. The method includes initializing a first variable to limit a rewrite time for rewrite operations with respect to an initial design by a rewriting module, a second variable to limit a time for satsifability solver operations with respect to said initial design by a staisfiability solver module and a third variable to limit a maximum number of rewrite iterations with respect to said initial design. A timer is called to track said rewrite time and a local logic rewriting operation is run on said initial design with said rewrite module. In response to determining that all of all targets for said initial design netlist are not solved, whether a rewrite time is expired is determined. In response to determining that said rewrite time is not expired, AND refactoring is run. In response to determining that said rewrite time is not expired, XOR refactoring is run.

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 method, apparatus and computer-readable medium for conjunctive binary decision diagram building and variable quantification using case-splitting are presented. A BDD building program builds a BDD for at least one node in a netlist graph representation of a circuit design. One or more variables are selected for case-splitting. The variable is set to a constant logical value and then the other. A BDD is built for each case. The program determines whether the variable is scheduled to be quantified out. If so, the program combines the BDDs for each case according to whether the quantification is existential or universal. If the variable is not scheduled to be quantified, the program combines the BDDs for each case so that the variable is introduced back into the resulting BDD, which has a reduced number of peak live nodes.

Abstract: A method, system and computer program product for performing verification are disclosed. The method includes creating and designating as a current abstraction a first abstraction of an initial design netlist containing a first target and unfolding the current abstraction by a selectable depth. A composite target is verified, using a satisfiability solver and, in response to determining that the verifying step has hit the composite target, a counterexample is examined to identify one or more reasons for the first target to be asserted. One or more refinement pairs are built by examining the counterexample and a second abstraction is built by composing the refinement pairs. A new target is built over one or more cutpoints in the first abstraction that is asserted when the one or more cutpoints assume values in the counterexample, and the new target is verified with the satisfiability solver.

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: A method for performing verification includes importing a design netlist containing one or more components and computing one or more output functions for the one or more components. One or more output equivalent state sets are generated from the one or more output functions and one or more next-state functions for the one or more components are identified. One or more image equivalent state sets for the one or more next-state functions are produced and one or more output-and-image equivalent state sets are classified for the one or more image equivalent state sets and the one or more output equivalent state sets. One or more input representatives of the one or more equivalent input sets are selected and an input map is formed from the one or more input representatives. The input map is synthesized and injected back into the netlist to generate a modified netlist.

Abstract: A method, system, and computer program product for preserving critical inputs. According to an embodiments of the present invention, an initial design including one or more primary inputs which cannot be eliminated, one or more primary inputs which can be eliminated, one or more targets, and one or more state elements are received. A cut of said initial design including one or more cut gates is identified, and a relation of one or more values producible to said one or more cut gates in terms of said one or more primary inputs which cannot be eliminated, said one or more primary inputs which can be eliminated and said one or more state elements is computed. Said relation is synthesized to form a gate set, and an abstracted design is formed from said gate set. Verification is performed on said abstracted design to generate verification results.

Abstract: A method for performing verification includes selecting a first set containing a seed register and adding to a second set a result of a subtraction of a fanout of the first set from a fanin of the first set. A third set is rendered equal to a result of a subtraction of a fanin of the second set from a fanout of the second set, and whether a combination of the first set and the third set is equivalent to the first set is determined. In response to determining that the combination of the first set and the second set is not equivalent to the first set, a min-cut of the first set and the second set containing a minimal set of predicates between a first component and the logic to which the component fans out, wherein the logic is bordered by the second set is returned.