Temporal Logic Formula Integration for Multi-Object Robot Planning

The patent segments the complex task into atomic propositions representing individual object relations and states. Each atomic proposition is independently formulated, then combined through logical operators to construct the complete temporal logic formula. This segmentation approach enables systematic handling of complex multi-object interactions while maintaining formula accuracy.

The patent introduces an intermediary formal language layer (temporal logic) that mediates between the complex physical task description and the robot motion planning execution. This intermediary layer uses structured atomic propositions and temporal operators to represent complex relations in a computationally tractable form, bridging the gap between task complexity and planning accuracy.

The patent replaces direct mechanical observation and measurement of complex object interactions with a formal logical representation system. Instead of mechanically detecting and measuring each interaction, the system uses temporal logic formulas with atomic propositions that abstractly represent object relations, states, and transitions, making detection and measurement computationally manageable.

The patent creates a logical copy or abstraction of the physical task environment through atomic propositions and temporal logic formulas. This copied representation captures the essential relations and states without requiring direct measurement of all physical parameters, reducing the difficulty of detection and measurement while preserving planning accuracy.