We provide general - and automatedly verifiable - sufficient conditions that ensure standard completeness for logics formalized Hilbert-style. Our approach subsumes many existing results and allows for the discovery of new fuzzy logics which extend first-order Monoidal T-norm Logic with propositional axioms.
Uniform proofs of standard completeness for extensions of first-order MTL / P. Baldi, A. Ciabattoni. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - 603(2015), pp. 43-57. [10.1016/j.tcs.2015.07.014]
Uniform proofs of standard completeness for extensions of first-order MTL
P. Baldi
;
2015
Abstract
We provide general - and automatedly verifiable - sufficient conditions that ensure standard completeness for logics formalized Hilbert-style. Our approach subsumes many existing results and allows for the discovery of new fuzzy logics which extend first-order Monoidal T-norm Logic with propositional axioms.
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