NII Technical Reports
National Institute of Informatics
| Title | Inhabitance of Existential Types is Decidable in Negation-Product Fragment |
| Authors | Makoto Tatsuta, Ken-etsu Fujita, Ryu Hasegawa, and Hiroshi Nakano |
| Abstract | This paper shows the inhabitance in the lambda calculus with negation, product, and existential types is decidable. This is proved by showing existential quantification can be eliminated and reducing the problem to provability in intuitionistic propositional logic. By the same technique, this paper also shows existential quantification followed by negation can be replaced by a specific witness in both that system and the system with implication and bottom. |
| Language | English |
| Published | Apr 4, 2008 |
| Pages | 13p |
| PDF File | 08-005E.pdf |