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by James Harland, David Pym, Michael Winikoff
http://www.dcs.qmw.ac.uk/~pym/Paperspage/cade00-workshop.ps
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Abstract:

Abstract. Logic programming languages based on linear logic have been of recent interest, particularly as such languages provide a logical basis for programs which execute within a dynamic environment. Most of these languages are implemented using standard resolution or backward-chaining techniques. However, there are many applications in which the combination of such techniques with forward-chaining ones are desirable, such as in agent systems which are expected to behave both rationally (i.e. reasoning in a backward-chaining manner) and reactively (i.e. reasoning in a forward-chaining manner). In this paper we develop the proof-theoretic foundations for systems which combine both methods of reasoning for linear logic. We give an inference system which allows for such "mixed " reasoning, and we discuss its properties. 1

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