Binding Logic: proofs and models

Gilles Dowek; Thérèse Hardin; Claude Kirchner

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arXiv · 2305.15782

Binding Logic: proofs and models

Gilles Dowek·Thérèse Hardin·Claude Kirchner

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Abstract

We define an extension of predicate logic, called Binding Logic, where variables can be bound in terms and in propositions. We introduce a notion of model for this logic and prove a soundness and completeness theorem for it. This theorem is obtained by encoding this logic back into predicate logic and using the classical soundness and completeness theorem there.

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BibTeX RIS

Gilles Dowek, Thérèse Hardin, Claude Kirchner. 2023-05-25. Binding Logic: proofs and models. https://arxiv.org/abs/2305.15782

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