Perspectives on Universal Logic

abstract applied axiom belief belief revision Boolean BSB(Re2 category theory classical logic completeness theorem Computer Science concept conditional logics CondLean 3.1 connectives consequence operator conservative translation consider construction context contraction contradictions corresponding deductive systems defeasance defined Definition denoted derivable disjunction example existence extended finite formal formula function functor given Heyting Heyting algebra Hirokawa identity inference institution intuitionistic logic Lemma linear logic programming logical systems Madhyamaka many-valued mathematical logic modal logic modal models model theory morphisms multiple natural language negation notion objects paraconsistent logic Philosophy possible prime implicates proof systems properties propositional logic provable prove quantifier reasoning relational structures Re1 relevance logic Section semantics sentences sequent calculus signature specifications SRe1 SRe2 structural rules structure of tuples succedent tautology truth value Universal Algebra universal logic variables