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iProver - An Instantiation-Based Theorem Prover for First-Order Logic (System Description)

机译:iProver-一阶逻辑的基于实例化的定理证明(系统说明)

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摘要

iProver is an instantiation-based theorem prover which is based on Inst-Gen calculus, complete for first-order logic. One of the distinctive features of iProver is a modular combination of instantiation and prepositional reasoning. In particular, any state-of-the art SAT solver can be integrated into our framework. iProver incorporates state-of-the-art implementation techniques such as indexing, redundancy elimination, semantic selection and saturation algorithms. Redundancy elimination implemented in iProver include: dismatching constraints, blocking non-proper instantiations and propositional-based simplifications. In addition to instantiation, iProver implements ordered resolution calculus and a combination of instantiation and ordered resolution. In this paper we discuss the design of iProver and related implementation issues.
机译:iProver是基于实例的定理证明器,它基于Inst-Gen微积分,适用于一阶逻辑。 iProver的独特功能之一是实例化和介词推理的模块化组合。特别是,任何最新的SAT求解器都可以集成到我们的框架中。 iProver结合了最新的实现技术,例如索引,冗余消除,语义选择和饱和算法。 iProver中实现的冗余消除包括:取消约束,阻止非正确的实例化以及基于命题的简化。除实例化外,iProver还实现有序分辨率演算以及实例化和有序分辨率的组合。在本文中,我们讨论了iProver的设计以及相关的实现问题。

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