Graphectory: A directed cyclic graph representing an agent's trajectory, where nodes are actions and edges represent temporal or structural relationships
Langutory: A human-readable string abstraction of Graphectory (e.g., 'L5P1V') representing the sequence of logical phases (Localization, Patching, Validation) and their lengths
SWE-agent: An open-source agentic system designed to solve GitHub issues using a command-line interface
OpenHands: An open-source platform for developing and evaluating software engineering agents
Phase Transition Sequence: The sequence of distinct logical phases an agent moves through (e.g., Localization -> Patching -> Validation)
Structural Edge: An edge in Graphectory connecting actions that operate on subsuming entities (e.g., directory -> file -> block), capturing navigation depth
Temporal Edge: An edge in Graphectory connecting actions in chronological order of execution
ReAct: Reasoning and Acting—a paradigm where agents generate reasoning traces before executing actions
SWE-bench Verified: A benchmark dataset of resolved GitHub issues used to evaluate software engineering agents
Back Edge: A graph edge pointing to a previously visited node or phase, indicating loops, repetition, or backtracking in the agent's strategy