Z3 API in Python: From Sudoku to N-Queens in Under 20 Lines
6 days ago
- #constraint-solving
- #theorem-proving
- #Z3Py
- Z3 is a high-performance theorem prover developed at Microsoft Research.
- Z3 is used in software/hardware verification, constraint solving, hybrid systems analysis, security, biology, and geometrical problems.
- Z3Py is the Python API for Z3, requiring no prior Python knowledge but recommending learning Python for better use.
- Z3 supports multiple APIs including C, .Net, OCaml, and other front-ends like Scala^Z3 and SBV.
- Z3Py can solve constraints, simplify expressions, and handle both integer and real variables.
- Z3 provides functions for traversing expressions, solving nonlinear polynomial constraints, and handling large numbers precisely.
- Z3 supports Boolean operators, bit-vector arithmetic, and uninterpreted functions and constants.
- Z3Py can evaluate expressions in models, check validity and satisfiability, and prove theorems like deMorgan's law.
- Z3Py supports list comprehensions for creating Z3 expressions and problems, and can handle kinematic equations and puzzles like Sudoku and the eight queens problem.
- Z3 can solve the install problem by determining package dependencies and conflicts.