"Possible worlds semantics", as it is now called, is a highly sophisticated and subtle branch of mathematical logic, but the authors give a very elementary introduction in this book, employing symbols ...

The scope of Knowledge, Rationality and Action is interdisciplinary: it will be of interest to researchers in the fields of artificial intelligence, agents, computer science, knowledge representation, ...

The course is an introduction to the use of formal definitions and proofs in mathematics, and to basic results of elementary set theory, number theory, linear algebra, algebra and analysis. Specific ...

The intersection of machine learning and mathematical logic — spanning computer science, pure mathematics, and statistics — has catalyzed recent advances in artificial intelligence and deep learning ...

Logic is an ancient discipline that has undergone striking modern developments through the introduction of rigorous formal methods, stimulated largely by foundational problems in mathematics.

A University of Colorado Boulder mathematician has won the Sacks Prize, which recognizes the year’s best dissertation on mathematical logic, the Association of Symbolic Logic has announced. Marcos ...

Recent mathematical developments have focused on the refinement of aggregation operators—key elements that combine individual fuzzy inputs into a coherent output—through the introduction of ...