D. P. A. Brogi, P. Mancarella and F. Turini. Universal quantication by case analysis. In Proc. ECAI-90, pages 111-116, 1990. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Elimination of Negation in a Logical Framework - Momigliano (3 citations) (Correct)
....and then by extracting positive information from negated atoms via complementing terms, a problem rst addressed in [13] for rst order terms. A nal issue, which we do not tackle here, is dealing with local variables, which, during the transformation, become (extensionally) universally quanti ed [1]. Unfortunately, this approach does not scale immediately to logical frameworks such as HHF, for three main reasons: 1. The simply typed calculus is not closed under term complement. 2. Negation normal forms are incompatible with the operational semantics required by HHF. 3. There is an ....
....of negation in a fragment of higher order HHF; our next task is to overcome some of the current restrictions, to begin with the extension to any order, which requires a more re ned notion of context. The issue of local variables is instead more challenging. The proposals in the literature (e.g. [1]) are not satisfactory and robust enough to carry over to logical frameworks with intensional universal quanti cation. Our approach will be again to synthesize a HHF de nition for the clauses with local variables which during the transformations has became extensionally quanti ed. Our nal goal is ....
D. P. A. Brogi, P. Mancarella and F. Turini. Universal quantication by case analysis. In Proc. ECAI-90, pages 111-116, 1990.
Elimination of Negation in a Logical Framework - Momigliano (3 citations) (Correct)
....program into negation normal form and then by negating atoms via complementing terms, a problem rst addressed in [10] for rstorder terms. A nal issue, which we do not tackle here, is dealing with local variables, which, during the transformation, become (extensionally) universally quanti ed [1]. Unfortunately, this approach does not scale immediately to logical frameworks such as HHF, for three main reasons: 1. The simply typed calculus is not closed under term complement. 2. Negation normal forms are incompatible with the operational semantics required by HHF. 3. There is an ....
....presented elimination of negation in a fragment of higher order HHF; our next task is to overcome some of the current restrictions, to begin with the extension to any order, which requires a more re ned notion of context. The issue of local variables is instead more challenging. The proposal in [1] is not satisfactory and robust enough to carry over to logical frameworks with intensional universal quanti cation. Our approach will be again to synthesize a HHF de nition for the clauses with local variables which during the transformations has became extensionally quanti ed. Our nal goal is ....
D. P. A. Brogi, P. Mancarella and F. Turini. Universal quantication by case analysis. In Proc. ECAI-90, pages 111-116, 1990.
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