Classic undergraduate text sharpens students' grasp of the deductive method, including variables, sentential calculus, theory of identity, more. Exercises.
Using theory as a foundation for practical programming, this text presents the theory of logic programming with clear proofs, extended …
Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to …
(Reprint of the 1967 edition)
In the age of Machine Intelligence and computerized decision making, we have to deal with subjective imprecision inherently associated with …
This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. …
Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics …
Set theory presents many unusual challenges to the mathematician who wishes to pursue independent study of the subject at an …
Presents Results from a Very Active Area of Research Exploring an active area of mathematics that studies the complexity of …
Presents a novel approach to set theory that is entirely operational. This approach avoids the existential axioms associated with traditional …
This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually …
The authors cover first order logic and the main topics of set theory in a clear mathematical style with sensible …
Marcus Giaquinto tells the compelling story of one of the great intellectual adventures of the modern era: the attempt to …
There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer …
Except for this preface, this study is completely self-contained. It is intended to serve both as an introduction to Quantification …
This volume of recent writings, some previously unpublished, follows the sequence of a typical intermediate or upper-level logic course and …
Using the theory of categories as a framework, this book develops a duality theory for theories in first order logic …
In the last century developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development …
This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship …
This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the …
This book contains contributions from several international authors to topics of current interest, such as AI, intelligent systems, and logic …
In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory …
A book which efficiently presents the basics of propositional and predicate logic, van Dalen's popular textbook contains a complete treatment …
The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling …
Structure or system is a ubiquitous and indispensable feature of all our experience and theory, and requires an ontological analysis. …
This book breaks entirely new ground by developing the relationships between the nature of propositional logic, the nature of the …