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FULL LAMBEK CALCULUS WITH CONTRACTION IS UNDECIDABLE

Published online by Cambridge University Press:  10 May 2016

KAREL CHVALOVSKÝ
Affiliation:
INSTITUTE OF COMPUTER SCIENCE ACADEMY OF SCIENCES OF THE CZECH REPUBLIC POD VODÁRENSKOU VĚŽÍ 2 182 07 PRAGUE 8, CZECH REPUBLICE-mail: [email protected]
ROSTISLAV HORČÍK
Affiliation:
INSTITUTE OF COMPUTER SCIENCE ACADEMY OF SCIENCES OF THE CZECH REPUBLIC POD VODÁRENSKOU VĚŽÍ 2 182 07 PRAGUE 8, CZECH REPUBLICE-mail: [email protected]

Abstract

We prove that the set of formulae provable in the full Lambek calculus with the structural rule of contraction is undecidable. In fact, we show that the positive fragment of this logic is undecidable.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2016 

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