English

Binding Logic: proofs and models

Logic in Computer Science 2023-05-26 v1

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.

Keywords

Cite

@article{arxiv.2305.15782,
  title  = {Binding Logic: proofs and models},
  author = {Gilles Dowek and Thérèse Hardin and Claude Kirchner},
  journal= {arXiv preprint arXiv:2305.15782},
  year   = {2023}
}

Comments

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