Introduction to Mathematical Logic Resolution Principle, Second Edition, in nine chapters, discusses Boolean algebra theory, propositional calculus and predicated calculus theory, resolution principle theory and the latest theory of multivalue logic. The book also includes supplement or alternations on the proof of the completion of K in first-order system, concerning "Quantitative Logic".
This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic .
This book treats the most important material in a concise and streamlined fashion. The third edition is a thorough and expanded revision of the former.
(1941) The Tw-Valued Iterative Systems of Mathematical Logic, Princeton University Press. (1943) Formal reductions of the ... J.A. (1965) A machine-oriented logic based on the resolution principle, J. Assoc. Comp. Mach., 12, 23–41.
Anderson, R., and Bledsoe, W. W. (1970): A linear format for resolution with merging and a new technique for establishing completeness, J. ACM 17, No. 3, 525–534. Andrews, P. B. (1965): “A Transfinite Type Theory with Type Variables.
While there are already several well known textbooks on mathematical logic this book is unique in treating the material in a concise and streamlined fashion.
Robinson , J.A. ( 1965 ) A machine - oriented logic based on the resolution principle , J. Assoc . Comp . Mach . , 12 , 23-41 . Robinson , Julia . ( 1949 ) Definability and decision problems in arithmetic , JSL , 14 , 98-114 .
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Non-classical Mathematical Logic and Approximate Reasoning非经典逻辑与近似推理. Beijing: Science Press. Wang, Guojun 王国俊. 2003. Introduction to Mathematical Logic and Resolution Principle数理逻辑引论与归结原理.
This book constitutes the proceedings of the 5th International Conference on Hybrid Artificial Intelligent Systems, held in San Sebastian, Spain, in June 2010.
A Mathematical Introduction to Logic