Monadic Fragments of Intuitionistic Control Logic

Authors

  • Anna Glenszczyk University of Silesia

DOI:

https://doi.org/10.18778/0138-0680.45.3.4.01

Keywords:

Intuitionistic Control Logic, Intuitionistic Logic, Combining Logic, Control Operators

Abstract

We investigate monadic fragments of Intuitionistic Control Logic (ICL), which is obtained from Intuitionistic Propositional Logic (IPL) by extending language of IPL by a constant distinct from intuitionistic constants. In particular we present the complete description of purely negational fragment and show that most of monadic fragments are finite.

References

[1] A. Chagrov, M. Zakharyaschev, Modal Logic, Oxford Logic Guides 35 (1997).
Google Scholar

[2] A. Glenszczyk, Negational Fragment of Intuitionistic Control Logic, Studia Logica 103:6 (2015), pp. 1101–1121.
Google Scholar

[3] C. Liang, D. Miller, An intuitionistic Control Logic, to appear.
Google Scholar

[4] C. Liang, D. Miller, Kripke Semantics and Proof Systems for Combining Intuitionistic Logic and Classical Logic, Ann. Pure Appl. Logic 164:2 (2013), pp. 86–111.
Google Scholar

[5] C. Liang, D. Miller, Unifying classical and intuitionistic logics for computational control, Proceedings of LICS (2013).
Google Scholar

[6] A.S. Troelstra, D. van Dalen, Constructivism in Mathematics, Studies in Logic and the Foundations of Mathematics (2014).
Google Scholar

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Published

2016-12-30

How to Cite

Glenszczyk, A. (2016). Monadic Fragments of Intuitionistic Control Logic. Bulletin of the Section of Logic, 45(3/4), 143–153. https://doi.org/10.18778/0138-0680.45.3.4.01

Issue

Section

Research Article