@article {IOPORT.03995633, author = {Hosoi, Tsutomu}, title = {Pseudo two-valued evaluation method for intermediate logics.}, year = {1986}, journal = {Studia Logica}, volume = {45}, issn = {0039-3215}, pages = {3-8}, publisher = {Institute of Philosophy and Sociology of the Polish Academy of Sciences, Warsaw; Springer, Dordrecht}, doi = {10.1007/BF01881544}, abstract = {Let VAR be the variables of a propositional logic. Let $R=\{a\sb i\vee \neg a\sb i,\neg (a\sb i\vee \neg a\sb i)\vert$ $a\sb i\in VAR\}$. A pseudo two-valued evaluation, f( ), is a function on VAR into R; and f( ) is extended to the wffs in the usual way. The author investigates logics obtained by adding ($\neg a\vee \neg \neg a)$ to logics L containing intuitionistic logic. The main theorem states that A is a theorem of such a logic iff $L\vdash f(A)$ for all pseudo two-valued evaluations f( ).}, reviewer = {C.F.Kielkopf}, identifier = {03995633}, }