Examples of intuitionistic

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Moreover, the underlined logic of our system is intuitionistic logic.
Category-theory played an immense role in the disclosure of linear logic, ludics, in the correct understanding of intuitionistic logic.
In our experience, the intuitionistic discipline does not make proofs harder: on the contrary, it improves clarity and elegance.
We can now show that () is a translation from our modally classical logic to intuitionistic logic, in the sense that judgements are preserved.
The above theorem entails, in particular, that there is an intuitionistic phase space that is not phase isomorphic to any classical phase space.
We will now introduce intuitionistic well-foundation, then stability.
This would provide further evidence for our conjecture that much of temporal logic can be generalized to the intuitionistic case.
This is the approach we take to determine the asymptotic fraction of intuitionistic tautologies among all types of a given length.
Here, we use a method inspired from categorical coherence proofs to normalize lambda terms (and thus intuitionistic proofs).
By working in an intuitionistic framework one ensures that the normalization function thus obtained is an algorithm.
There are several techniques known for translating intuitionistic logic into linear logic.
Note that the logic defined here is a particularly weak subset of higher-order intuitionistic logic.
Section 3 gives a natural deduction presentation of intuitionistic linear logic and defines a type reconstruction algorithm for the calculus.
In section 4 we present our main result, the characterization of answer sets in terms of intuitionistic logic.
Applications of intuitionistic logic in answer set programming.
Axiomatically, the logic of here-and-there is intermediate between intuitionistic and classical logic.
All of them contain all of the intuitionistic theorems, and are contained in the theorems of classical logic.
Intuitionistic logic, a logic of knowledge, seems to be a natural inference system for this approach.
It is this intuitionistic aspect of our work that is both novel and fundamental to extracting a normalization algorithm.
We employ the qualifier 'classical' because we will consider an intuitionistic version later on.

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