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in this paper,we combine the aspect-based languages (abls), the probabilistic logic modules (plms), and the qualitative reasoning with bounded circumference (quwin) to investigate what can be learnt from the past through probabilistic inference, and what can be learnt from the future by counting. first, we design a type system for uncertainty reasoning by using three basic types of well-known predicates. then, we demonstrate that abls can be used for communicating the types of uncertainty and that they are much more convenient for working in large environments than plms. to demonstrate the advantage of abls in reasoning, we define qualitatively-typed logical operators as a formal semantics of the abl, and we show that the operators are intractable, but the semantics and the operators can be implemented by a machine-based interpreter. finally, we provide an example that shows the advantage of the abl in proof search by summarizing the proofs by abls and plms.
the abstract of this paper can be found as: this paper demonstrates the capability of a machine-interpreted abl in providing general probabilistic inference. the author will report on this research at the 28th international symposium of computer and automation (isca), melbourne, australia. this paper is based on a dissertation work done in the division of systems and control engineering of the national university of singapore (nus).
the abstract of this paper can be found as: this paper shows an attempt to resolve these problems. the paper introduces a type system for specifying the type systems for the abls. the paper introduces the concept of the abl type and gives a definition of the semantics of the abls. the paper shows that the abl type and the semantics can be translated to the languages of the plms and quwin. the paper defines three types of basic well-known predicates for expressing uncertainty. the paper introduces the type system for the dynamic predicate language. the paper introduces the way of interpreting the type system. the paper presents the results of the experiments for testing the type system. the paper also discusses the difficulty in reasoning with a type system. the paper describes the advantage of the abl in reasoning. the paper also discusses the proof search problem with the abls.