
arXiv: 0912.1271
AbstractIsomorphism between formulae is defined with respect to categories formalizing equality of deductions in classical propositional logic and in the multiplicative fragment of classical linear propositional logic caught by proof nets. This equality is motivated by generality of deductions. Characterizations are given for pairs of isomorphic formulae, which lead to decision procedures for this isomorphism.
03F03, 03F07, 03F52, 03G30, Proof theory in general (including proof-theoretic semantics), isomorphic formulae, categories, Structure of proofs, Proof-theoretic aspects of linear logic and other substructural logics, categorial coherence, Mathematics - Category Theory, Mathematics - Logic, equality of deductions, classical propositional logic, classical linear propositional logic, Classical propositional logic, FOS: Mathematics, identity of proofs, Category Theory (math.CT), Logic (math.LO), Categorical logic, topoi
03F03, 03F07, 03F52, 03G30, Proof theory in general (including proof-theoretic semantics), isomorphic formulae, categories, Structure of proofs, Proof-theoretic aspects of linear logic and other substructural logics, categorial coherence, Mathematics - Category Theory, Mathematics - Logic, equality of deductions, classical propositional logic, classical linear propositional logic, Classical propositional logic, FOS: Mathematics, identity of proofs, Category Theory (math.CT), Logic (math.LO), Categorical logic, topoi
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