On Reasoning and Planning in Real-Time: An LDS-Based Approach

Mikael Asker and Jacek Malec

Reasoning with limited computational resources (such as time or memory) is an important problem, in particular in cognitive embedded systems. Classical logic is usually considered inappropriate for this purpose as no guarantees regarding deadlines can be made. One of the more interesting approaches to address this problem is built around the concept of active logics. Although a step in the right direction, active logics still do not offer the ultimate solution. Our work is based on the assumption that Labeled Deductive Systems offer appropriate metamathematical methodology to study the problem. As a first step, we have shown that the LDS-based approach is strictly more expressive than active logics. We have also implemented a prototype automatic theorem prover for

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