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Results tagged with linear-logic
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user 45027
12
votes
Accepted
Proof of ¬(¬1 ⊗ ¬1) in tensorial logic
The formula $\lnot(\lnot 1\otimes\lnot 1)$ is not provable. This is similar to the non-provability of $1⅋1$ in linear logic without mix.
If you want to see it directly in tensorial logic, simply obse …
- 1,646
9
votes
Accepted
What would you do with a new model of linear logic?
Linear logic is very valuable in the theory of programming languages, so one way of looking at your question is to see what value these new models have in terms of programming languages.
Most of the u …
- 1,646
7
votes
Accepted
Is Girard's LU just an embedding of classical and intuitionistic logic into linear logic?
Sorry if my answer comes so late, maybe you already figured it out by yourself in the meantime, I hope this helps anyway.
I think the main misunderstanding is that the "non-chimeric" fragment of $\ma …
- 1,646
2
votes
Distributivity of ! over?
I would tend to say "no".
However, besides my comment above, which is not very pertinent, let me mention the paper Combining effects and coeffects via grading, by Marco Gaboardi, Shin-ya Katsumata, D …
- 1,646
1
vote
Accepted
What is the sequent calculus for differential linear logic?
Although this is well-known to experts, it is surprisingly difficult to find a paper explicitly presenting the sequent calculus of (classical) differential linear logic (DiLL). The following one is a …
- 1,646