möbius-path-filtering

Möbius path filtering eliminates paths where traversal would require revisiting a configuration from a different orientation. Use is_valid_path(path_expr) to validate path expressions before compilation, preventing invalid navigators from being cached in nested data traversals.

Orientation tracking enforces that each step in a path maintains consistent directional state. It prevents paths that would "double back" by detecting when traversal would require flipping orientation mid-navigation, catching invalid patterns before they reach the navigator cache.

Apply Möbius path filtering as a pre-compilation check on all path expressions used in nested data traversals. This validation step rejects invalid paths early, ensuring performance-friendly caching and preventing runtime failures in Specter Navigator integrations.

Yes. Möbius path filtering integrates with Specter Navigator pre-validation to enforce topological constraints. Use validate_path(path_expr) or eliminate_invalid_paths(paths) to filter expressions before passing them to the navigator.

is_valid_path checks a single path expression and returns validation status, while eliminate_invalid_paths filters multiple paths at once, removing all invalid candidates. Use eliminate_invalid_paths for batch validation across collections of path definitions.

Paths that fail Möbius validation are rejected before compilation and caching. This prevents invalid navigators from executing and avoids runtime errors caused by self-revisiting configurations in nested data structures.