arXiv:1806.07275 [cs.LO]
Jun. 20th, 2018 11:36 am![[personal profile]](https://www.dreamwidth.org/img/silk/identity/user.png){kind=small}
codedothttps://arxiv.org/abs/1806.07275
Upward confluence in the interaction calculus
The lambda calculus is not upward confluent, one of counterexamples being known due to Plotkin. This paper explores upward confluence in the interaction calculus. Can an interaction system have this property? We positively answer this question and also provide a necessary and sufficient condition for stronger one-step upward confluence. However, the provided condition is not necessary for upward confluence as we prove that the interaction system of the linear lambda calculus is upward confluent.
Upward confluence in the interaction calculus
The lambda calculus is not upward confluent, one of counterexamples being known due to Plotkin. This paper explores upward confluence in the interaction calculus. Can an interaction system have this property? We positively answer this question and also provide a necessary and sufficient condition for stronger one-step upward confluence. However, the provided condition is not necessary for upward confluence as we prove that the interaction system of the linear lambda calculus is upward confluent.
