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Elementary axiomatic theories over intuitionistic logic
 Heřmanová, Barbora ; Švejdar, Vítězslav (advisor) ; Ferenz, Nicholas (referee)
This thesis studies basic properties of intuitionistic logic and several elementary theories over it. We choose three theories to explore: the theory of equality, the theory of linear order, and the theory of apartness. We do not work with the last theory in classical logic and we will study it in connection with the other two theories, especially in relation to conservativity. This thesis draws mainly from the results of Dirk van Dalen, Richard Statman, and Craig Smorynski. Keywords: intuitionistic logic, elementary theories, apartness, conservativity
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