Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Preliminaries to the Lambek Calculus


Wojciech Zielonka
Adam Mickiewicz University, Poznan
This paper was written during author's visit at the Warsaw University (Bia{\l}ystok) in Winter 1991.

Summary.

Some preliminary facts concerning completeness and decidability problems for the Lambek Calculus [14] are proved as well as some theses and derived rules of the calculus itself.

MML Identifier: PRELAMB

The terminology and notation used in this paper have been introduced in the following articles [16] [9] [19] [18] [13] [1] [6] [21] [5] [10] [12] [17] [20] [7] [8] [15] [11] [2] [3] [4]

Contents (PDF format)

Bibliography

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[14] Joachim Lambek. The mathematics of sentence structure. \em American Mathematical Monthly, (65):154--170, 1958.
[15] Andrzej Trybulec. Binary operations applied to functions. Journal of Formalized Mathematics, 1, 1989.
[16] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[17] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.
[18] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.
[19] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[20] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[21] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.

Received February 13, 1991

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