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The thing is, in this case it's
Chagrov and Zakharyaschev who use strange nomenclature. CPC (or just PC) and IPC are much more common than Cl and Int, to begin with they are almost universally used in the Dutch school (which is quite relevant to intuitionistic logic). In fact, I don't remember ever
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I have a paper that claims 'here and there' logic is a different name for
Smetanich logic, but .... Pearce states that "The logic of here and there is also known as "the logic of present and future", and "the Smetanich logic", and was first axiomatized by Lukasiewicz in 1941 ...
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seeing Cl outside of the C&Z book (although capitalized CL gets used, accompanied by IL). OTOH it can't hurt to mention both notations. --
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176:. This article uses some strange nomenclature. I think IPC and CPC should be changed to Int and Cl per Chagrov&Zakharychev's book.
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From the context it seems it stands for
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