math - Isabelle/HOL sequents: meaning of types o, seq', meaning of nonterminals seq, seqobj, seqcont -


i trying understand https://www.cl.cam.ac.uk/research/hvg/isabelle/dist/library/sequents/sequents/sequents.html , https://www.cl.cam.ac.uk/research/hvg/isabelle/dist/library/sequents/sequents/ill.html , have problems understanding meaning of basic items, namely:

types o, seq'

nonterminals seq, seqobj, seqcont?

do these types , nonterminals have "real world" counterparts? sequent represented function [o, seq']=>seq', so, maybe o , seq' not have real world counterparts?

i reading "isabelle's logics" (especially chapter 4), lncs 828, isabelle/isar reference manual (especially 8.2 , 8.5 mixfix notations , syntax definition), can not grasp meaning of symbols , therefor can not move forward. guidance helpful!

i trying implement monoidal logic http://www.sciencedirect.com/science/article/pii/s1570868314000573 object logic in isabelle/hol, detached "real world" (how mathematics being done on paper).


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