abstract algebraic logic造句

• What is termed'Abstract Algebraic Logic'in the above paragraphs should be'Algebraic Logic '.
• Abstract algebraic logic has become a well established subfield of algebraic logic, with many deep and interesting results.
• The theory of abstract algebraic logic has also provided means to classify logics, with most results having been obtained for propositional logics.
• The two main motivations for the development of abstract algebraic logic are closely connected to ( 1 ) and ( 3 ) above.
• Works in the more recent abstract algebraic logic ( AAL ) focus on the process of algebraization itself, like classifying various forms of algebraizability using the Leibniz operator.
• The above terminology can be misleading .'Abstract Algebraic Logic'is often used to indicate the approach of the Hungarian School including Hajnal Andr閗a, Istv醤 N閙eti and others.
• The study of the algebraization process ( and notion ) as topic of interest by itself, not necessarily by Tarski's method, has led to the development of abstract algebraic logic.
• The algebraization of many-sorted logic is explained in an article by Caleiro and Gon鏰lves, which generalizes abstract algebraic logic to the many-sorted case, but can also be used as introductory material.
• The passage from classical algebraic logic to abstract algebraic logic may be compared to the passage from " modern " or abstract algebra ( i . e ., the study of signatures ) satisfying specific abstract properties ).
• Perhaps the most important achievement of abstract algebraic logic has been the classification of propositional logics in a hierarchy, called the abstract algebraic hierarchy or Leibniz hierarchy, whose different levels roughly reflect the strength of the ties between a logic at a particular level and its associated class of algebras.