NII Technical Report (NII-2008-005E)

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

NII Technical Reports
National Institute of Informatics