TL;DR: This paper presents an axiomatic closed-form solution to the frame, ramification and qualification problems for a common class of theories and presents a semantic specification for a solution in terms of a prioritized minimization policy, and shows that the successor state axioms of the closed- form solution adhere to this specification.
TL;DR: It is shown how fluent dependency constraints together with the use of durational fluents can be used to deal with problems associated with action qualification using a temporal logic for action and change called TAL‐Q.
Abstract: In the area of formal reasoning about action and change, one of the fundamental representation problems is providing concise modular and incremental specifications of action types and world models, where instantiations of action types are invoked by agents such as mobile robots. Provided the preconditions to the action are true, their invocation results in changes to the world model concomitant with the goal-directed behavior of the agent. One particularly difficult class of related problems, collectively called the qualification problem, deals with the need to find a concise incremental and modular means of characterizing the plethora of exceptional conditions that might qualify an action, but generally do not, without having to explicitly enumerate them in the preconditions to an action. We show how fluent dependency constraints together with the use of durational fluents can be used to deal with problems associated with action qualification using a temporal logic for action and change called TAL-Q. We demonstrate the approach using action scenarios that combine solutions to the frame, ramification, and qualification problems in the context of actions with duration, concurrent actions, nondeterministic actions, and the use of both Boolean and non-Boolean fluents. The circumscription policy used for the combined problems is reducible to the first-order case.
TL;DR: This paper presents a meta-anatomy of the determinants of Ramification and Qualified Ramifications and their applications in the context of discrete-time decision-making.
Abstract: Foundations of Action Theories.- The Ramification Problem.- The Qualification Problem.- Qualified Ramifications.