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Titlebook: Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs; Ivo Düntsch,Edwin Mares Book 2022 Springer Nature Switzerl

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State-of-the-Art DCN Topologies on Urquhart’s operational semantics. I then present the basics of collection frames. Finally, I show how one kind of collection frame, namely, functional set frames, is equivalent to Urquhart’s semilattice semantics.
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Yang Liu,Jogesh K. Muppala,Mounir Hamdi known as Post-complete logics), we suddenly have continuum many. In this note we shall provide an alternative proof of that fact by showing that the simulation results of Kracht and Wolter can be sharpened.
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Data Collection in Fragile Statesecently, substitution is studied in the setting of propositional logic. We state theorems of Urquhart’s giving lower bounds on the number of steps in the substitution Frege system for propositional logic. We give the first superlinear lower bounds on the number of symbols in substitution Frege and multi-substitution Frege proofs.
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Relevance-Sensitive Truth-Trees,th-functional connectives, accompanied by novel ones for the for the arrow, together with a recursive rule, generate a set of ‘acceptable’ formulae that properly contains all theorems of the well-known system R and is closed under substitution, conjunction, and detachment. We conjecture that it satisfies the crucial letter-sharing condition.
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Substitution and Propositional Proof Complexity,ecently, substitution is studied in the setting of propositional logic. We state theorems of Urquhart’s giving lower bounds on the number of steps in the substitution Frege system for propositional logic. We give the first superlinear lower bounds on the number of symbols in substitution Frege and multi-substitution Frege proofs.
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