Journal
JOURNAL OF LOGICAL AND ALGEBRAIC METHODS IN PROGRAMMING
Volume 91, Issue -, Pages 60-84Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.jlamp.2016.10.006
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Funding
- National Research Foundation of South Africa [NRF UID 70554, NRF UID 81309]
- NWO Vidi grant [016.138314]
- NWO Aspasia grant [015.008.054]
- Delft Technology Fellowship
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The present paper proposes a new introductory treatment of the very well known Sahlqvist correspondence theory for classical modal logic. The first motivation for the present treatment is a consideration regarding exposition: classical Sahlqvist correspondence is presented in a uniform and modular way, and, unlike the existing textbook accounts, extends itself to a class of formulas laying outside the Sahlqvist class proper. The second motivation is methodological: the present treatment aims at highlighting the algebraic and order-theoretic nature of the correspondence mechanism. The exposition remains elementary and does not presuppose any previous knowledge or familiarity with the algebraic approach to logic. However, it provides the underlying motivation and basic intuitions for the recent developments in the Sahlqvist theory of nonclassical logics, which compose the so-called unified correspondence theory. (C) 2016 Elsevier Inc. All rights reserved.
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