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| Content Provider | ACM Digital Library |
|---|---|
| Author | Scagnetto, Ivan Miculan, Marino Honsell, Furio |
| Abstract | We study the relation between Nominal Logic and the Theory of Contexts, two approaches for specifying and reasoning about datatypes with binders. We consider a natural-deduction style proof system for intuitionistic nominal logic, called NINL, inspired by a sequent proof system recently proposed by J. Cheney. We present a translation of terms, formulas and judgments of NINL, into terms and propositions of CIC, via a weak HOAS encoding. It turns out that the (translation of the) axioms and rules of NINL are derivable in CIC extended with the Theory of Contexts (CIC/ToC), and that in the latter we can prove also sequents which are not derivable in NINL. Thus, CIC/ToC can be seen as a strict extension of NINL. |
| Starting Page | 41 |
| Ending Page | 49 |
| Page Count | 9 |
| File Format | |
| ISBN | 1595930728 |
| DOI | 10.1145/1088454.1088460 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2005-09-27 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Languages with binders Calculus of inductive constructions Theory of contexts Logical expressivity Nominal logics |
| Content Type | Text |
| Resource Type | Article |
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