Abstract
Regular varieties are defined by regular identities, where the same set of variables occurs on both sides. Therefore, we are not taking a wild guess if we assume that there must be some kinship between regular varieties and logics of variable inclusion, of which we have given a cursory preview in Section 1.4. The aim of the next two chapters is, on the one hand, to fully clarify the nature and extent of this connection; on the other, to lift the algebraic construction of Płonka sums to the level of logical matrices and to relate, in turn, these sums of matrices to logics of variable inclusion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Bonzio, S., Paoli, F., Pra Baldi, M. (2022). Logics of Left Variable Inclusion. In: Logics of Variable Inclusion. Trends in Logic, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-031-04297-3_5
Download citation
DOI: https://doi.org/10.1007/978-3-031-04297-3_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-04296-6
Online ISBN: 978-3-031-04297-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)