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Chapter 1 Generic programming for domain reasoners Johan Jeering,1,2 Jo's Pedro AGLH BS,1 Bastian Heeren2 e a Category: Evaluation Abstract: An exercise assistant is a tool that supports students
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We build a formal grammar specifying the operation that is implemented by an exercise assistant. The domain reasoner is used to train the domain reasoner to solve problems that only depend on the semantics of a particular domain. Example: Define a recursive function to be the monodic composition operation between two functions. The domain reasoner is used to train the domain reasoner to find the monad of a function, where the meaning of the monad is determined in this exercise. We show that, even in this weak semantic case, the domain reasoner can learn the semantics through recursive composition. Keywords: semantics, domain reasoner, composition Chapter 2 Domain-Driven Reasoning Johan Jeering,1,2 Jo's Pedro AGLH BS,1 Bastian Heeren2 e a Category: Evaluation Abstract: An exercise assistant or a framework that supports students learning procedural skills, such as solving systems of linear equations, or rewriting a logic expression to disjunctive normal form. The domain reasoner is a component that directly uses domain-specific knowledge to solve problems that depend on the semantics of a domain, even if the domain reasoner does not contain a formal semantics. The domain-specific knowledge is usually encoded in a domain-general syntax that maps the semantics to the domain-specific syntax (e.g. for logical expressions). It is a fundamental requirement for any system that is to be used in an exercise assistant that it is the domain reasoner that directly and explicitly manipulates domain-specific knowledge. Examples: Find the monad of a unary function. The domain reasoner is the component that manipulates the domain-specific syntax to get the monad definition. Use the monad operation written earlier by one definition of the monad from another class. Use the recursive composition operation written earlier by one definition of the monad from another class. For more complex infix operations, such as inversion, the operator must be embedded in a domain-specific syntax. The domain-specific syntax does not simply specify the operations, but defines how to implement the operators themselves. Examples: A function f can be inclined and a function g can be inclined but only within the monad operations (e.g. f invert f, g invert g, for all a. a ? a).

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