Coinduction in Uniform: Foundations for Corecursive Proof Search with Horn Clauses

Autor: Basold, Henning, Komendantskaya, Ekaterina, Li, Yue
Rok vydání: 2018
Předmět:
Zdroj: LNCS 11423 (2019) 783-813
Druh dokumentu: Working Paper
DOI: 10.1007/978-3-030-17184-1_28
Popis: We establish proof-theoretic, constructive and coalgebraic foundations for proof search in coinductive Horn clause theories. Operational semantics of coinductive Horn clause resolution is cast in terms of coinductive uniform proofs; its constructive content is exposed via soundness relative to an intuitionistic first-order logic with recursion controlled by the later modality; and soundness of both proof systems is proven relative to a novel coalgebraic description of complete Herbrand models.
Databáze: arXiv