@article{oai:nuis.repo.nii.ac.jp:00002662, author = {Ishii, Tadao and Ishii, Tadao}, journal = {新潟国際情報大学情報文化学部紀要}, month = {Apr}, note = {This paper is an extended version of my talk in the Conference of Non-Classical Logics 2016. In this paper we will introduce a system that rejects the principle of identity "A is A", one of the third Aristotelian principles for thinking. The proposed system allows to deal with paradoxical sentences, like a Liar sentence "A is not A". We present both an axiomatic system and an adequate semantics for it.}, pages = {12--26}, title = {Some syntactical and semantical properties for pair sentential calculus PSC}, volume = {3}, year = {2017}, yomi = {イシイ, タダオ} }