Show simple item record

dc.contributor.advisorAlizde, Rafailen
dc.contributor.authorBaysal, Onuren
dc.date.accessioned2014-07-22T13:51:31Z
dc.date.available2014-07-22T13:51:31Z
dc.date.issued2006en
dc.identifier.urihttp://hdl.handle.net/11147/3424
dc.descriptionThesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2006en
dc.descriptionIncludes bibliographical references (leaves: 45)en
dc.descriptionText in English: Abstract: Turkish and Englishen
dc.descriptionvii, 45 leavesen
dc.description.abstractIn temporal logic, which is a branch of modal logic, models are constructed on some kind of frames. Common properties of all these frames include totally ordered relations and these frames are bi-directional. These common properties provide the temporal logic time interpretation. By means of this interpretation temporal language has lots of application areas. The main aim of this study is to propose new technic which gets easier proof of some kind of valid formulas in the most popular temporal frame T and to produce new valid formulas with the medium of this new technic. To be able to realize this main aim, first of all the frame T . (N;6;>;R±;R for temporal language has been composed step by step in accordance with principles of modal logic. Then the new terms " lower-top and upper-bottom points for any temporal formula " has been defined in the model M . (T; V ) which is built over the frame T and some propositions of this term have been obtained. At the end of the study it has been presented that proofs of some theorems have been done easier and it has been given possibility to produce the new theorems.Moreover a general investigation about the frame T has been done and presented, furthermore it has been shown that the mirror image of the valid formulas do not have to be valid and it is also possible that the mirror image of non valid formulas can be valid.en
dc.language.isoengen
dc.publisherIzmir Institute of Technologyen
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTemporal logicen
dc.subjectModal logicen
dc.subject.lccQA9.46 .B35 2006en
dc.subject.lcshModality (Logic)en
dc.subject.lcshLogic, Symbolic and mathematicalen
dc.titleLower-top and upper-bottom points for any formula in temporal logicen
dc.typemasterThesisen
dc.contributor.authorIDTR131385
dc.contributor.departmentIzmir Institute of Technology. Mathematicsen
dc.relation.publicationcategoryTezen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record