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Re: A cut-free CoS system for S5: msg#00015science.mathematics.frogs
> if so, couldn't we equivalently modify the system to allow only inputs > built from negation (*) and disjunction (o)? If we do so, we won't > have rules for the logical connectives any longer > (conjunction,disjunction) and this is not the case in CoS. I thought > this is an important issue. On the other hand, 'CoS' looks like a DL > structure... > > Phiniki > Yes we can. There is a right-handed display calculus for classical logic using this idea in Solving the Display Problem Via Residuation, Rajeev Goré, TR-ARP-12-95, Automated Reasoning Project, Australian National University (1995) 35 pages. See http://users.rsise.anu.edu.au/~rpg/techreports.html raj |
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