Title
Full Lambek Calculus with Contraction is Undecidable.
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.
Year
DOI
Venue
2016
10.1017/jsl.2015.18
JOURNAL OF SYMBOLIC LOGIC
Keywords
Field
DocType
substructural logic,full Lambek calculus,contraction rule,square-increasing residuated lattice,equational theory,decidability
Algebra,Structural rule,Algorithm,Substructural logic,Decidability,Noncommutative logic,Mathematics,Calculus,Equational theory,Undecidable problem
Journal
Volume
Issue
ISSN
81
2
0022-4812
Citations 
PageRank 
References 
2
0.52
8
Authors
2
Name
Order
Citations
PageRank
Karel Chvalovský1111.85
Rostislav Horcík2506.41