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research-article
Automated Discovery of Geometric Theorems Based on Vector Equations
Abstract

Automated discovery of geometric theorems has attracted considerable attention from the research community. In this paper, a new method is proposed to discover geometric theorems automatically. This method first generates vector equations based on ...

research-article
On the Importance of Domain Model Configuration for Automated Planning Engines
Abstract

The development of domain-independent planners within the AI planning community is leading to “off-the-shelf” technology that can be used in a wide range of applications. Moreover, it allows a modular approach—in which planners and domain ...

research-article
Extensional Higher-Order Paramodulation in Leo-III
Abstract

Leo-III is an automated theorem prover for extensional type theory with Henkin semantics and choice. Reasoning with primitive equality is enabled by adapting paramodulation-based proof search to higher-order logic. The prover may cooperate with ...

research-article
Automated Reasoning with Restricted Intensional Sets
Abstract

Intensional sets, i.e., sets given by a property rather than by enumerating elements, are widely recognized as a key feature to describe complex problems (see, e.g., specification languages such as B and Z). Notwithstanding, very few tools exist ...

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