Abstract
Some formal properties of enriched systems of Lambek calculus with analogues of conjunction and disjunction are investigated. In particular, it is proved that the class of languages recognizable by the Lambek calculus with added intersective conjunction properly includes the class of finite intersections of context-free languages.
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I would like to thank Professor Johan van Benthem for much encouragement and a number of helpful suggestions. Thanks are also due to Dirk Roorda, who commented on an earlier draft of the paper, and to my advisor Professor Stanley Peters.
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Kanazawa, M. The Lambek calculus enriched with additional connectives. J Logic Lang Inf 1, 141–171 (1992). https://doi.org/10.1007/BF00171695
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DOI: https://doi.org/10.1007/BF00171695