Constraint Satisfaction Solver Using Fuzzing and State Machines
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Solution Overview
Problem
Current methods are inadequate for solving arbitrary constraint satisfaction problems, as they often require specific formulations and struggle with dynamic systems, limiting their applicability and efficiency.
Innovation Solution
The approach utilizes fuzzers to restructure problems as computer programs, where inputs represent candidate solutions, and the program crashes only when a solution is found, allowing for the exploration of solution spaces programmatically and leveraging advances in programming language theory and automated software testing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If general problem solvers like SAT solvers or SMT solvers are used, then they can solve structured constraint satisfaction problems, but they require specific formulations and struggle with dynamic systems and arbitrary problems
Solution Approach 1:
The patent applies universality by creating a software representation framework that can handle arbitrary constraint satisfaction problems through a unified approach. The system translates diverse problem types into a common software representation that can be analyzed using the same attack path analysis methodology, eliminating the need for problem-specific formulations and making the solution applicable to any constraint satisfaction problem.
Solution Approach 2:
The patent introduces an intermediary software representation layer that mediates between arbitrary constraint satisfaction problems and the analysis engine. This intermediate representation translates diverse problem constraints into a standardized format that captures system states and transitions, allowing the attack path analysis to work uniformly across different problem types without requiring direct modification of the core solver.
2Productivity
If traditional solvers are used for constraint satisfaction problems, then they provide systematic solutions, but they lack efficiency in exploring large solution spaces and adapting to system changes
Solution Approach 1:
The patent applies preliminary action by pre-computing and storing system states and transitions in the software representation before analysis. The system prepares the attack graph with all possible state transitions pre-identified, allowing the analysis engine to quickly query pre-computed paths rather than exploring the entire solution space from scratch, significantly reducing analysis time for large systems.
Solution Approach 2:
The patent replaces the mechanical exhaustive search mechanism of traditional solvers with a more efficient graph-based analysis approach. By substituting the brute-force exploration mechanism with attack path analysis on a pre-built software representation, the system achieves faster solution finding while maintaining systematic completeness.
3Productivity
If specific algorithms are developed for particular problems, then they can be highly efficient for those problems, but they lack generalizability to other problem types
Solution Approach 1:
The patent achieves universality by designing a software representation framework that maintains the efficiency benefits of problem-specific algorithms while adding generalizability. The framework captures the essential structure of constraint satisfaction problems in a unified format, allowing the same attack path analysis engine to efficiently solve diverse problem types without sacrificing the performance optimizations that come from understanding specific problem characteristics.
Data Source
AI summary
Disclosed is an approach for solving arbitrary constraint satisfaction problems. In some embodiments, the approach includes a process to generate a software representation of what is possible based on a system corresponding to the constraint satisfaction problem. The software representation comprises a state machine where different states can be reached using respective transitions or properties which are possible as determined based on a current state of the system and parameters thereof whether global or otherwise.