Publication details
Tense Operators and Dynamic De Morgan algebras
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Proceedings |
| Conference | 2013 IEEE 43RD INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2013) |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1109/ISMVL.2013.56 |
| Field | General mathematics |
| Keywords | De Morgan lattice; De Morgan poset; tense operators; dynamic De Morgan algebra |
| Description | To every propositional logic satisfying double negation law is assigned a De Morgan poset E. Using of axioms for an universal quantifier, we set up axioms for the so-called tense operators G and H on E. The triple D = (E; G, H) is called a (partial) dynamic De Morgan algebra. We solve the following questions: first, if a time frame is given, how to construct tense operators G and H; second, if a dynamic De Morgan algebra is given, how to find a time frame such that its tense operators G and H can be reached by this construction. |