Principle:Iamhankai Forest of Thought Expression Validation
| Knowledge Sources | |
|---|---|
| Domains | Verification, Game_Solving |
| Last Updated | 2026-02-14 03:00 GMT |
Overview
A verification pattern that validates arithmetic expressions by checking both number usage correctness and evaluation result against a target value.
Description
Expression Validation ensures that a candidate solution to the Game of 24 puzzle is mathematically valid. It performs two checks: (1) all input numbers are used exactly once in the expression, and (2) the expression evaluates to the target value (24). This prevents the solver from accepting hallucinated expressions that use incorrect numbers or produce wrong results.
Usage
Used as the acceptance criterion in BFS Forest Solving. Every candidate expression from the search must pass validation before being returned as a solution.
Theoretical Basis
The validation implements a constraint satisfaction check:
- Number constraint: The multiset of numbers in the expression must equal the multiset of input numbers
- Value constraint: eval(expression) == target_value (24)
Both constraints must hold simultaneously for a valid solution.