作者: Alexey Mkrtychev
关键词: Finite set 、 Mathematics 、 Second-order logic 、 Zeroth-order logic 、 Predicate functor logic 、 Discrete mathematics 、 Intermediate logic 、 Decidability 、 Many-valued logic 、 Gödel's completeness theorem
摘要: The operational logic of proofs \(\mathcal{L}\mathcal{P}\)was introduced by S. Artemov [1] as an version 54. In this paper, we define a model for \(\mathcal{L}\mathcal{P}\)and prove the corresponding completeness theorem. Using model, decidability variant \(\mathcal{L}\mathcal{P}\)axiomatized finite set schemes.