Perspectives in Computing: A Computational Logic Handbook contains a precise description of the logic and a detailed reference guide to the associated mechanical theorem proving system, including a primer for the logic as a functional programming language, an introduction to proofs in the logic, and a primer for the mechanical theorem. The publication first offers information on a primer for the logic, formalization within the logic, and a precise description of the logic. Discussions focus on induction and recursion, quantification, explicit value terms, dealing with features and omissions, elementary mathematical relationships, Boolean operators, and conventional data structures. The text then takes a look at proving theorems in the logic, mechanized proofs in the logic, and an introduction to the system. The text examines the processes involved in using the theorem prover, four classes of rules generated from lemmas, and aborting or interrupting commands. Topics include executable counterparts, toggle, elimination of irrelevancy, heuristic use of equalities, representation of formulas, type sets, and the crucial check points in a proof attempt. The publication is a vital reference for researchers interested in computational logic.
Metamath: A computer language for pure mathematics. ... Journal of Computer and Systems Sciences, 17:348–375, 1978. ... A mechanically checked proof of the correctness of the kernel of the AMD5 K 86 floating-point division program.
The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions.
Understanding sentences for their significance in the context of the reader's goals and beliefs is a higher kind of logic than understanding sentences in the isolated context of a psychological experiment. But most psychological studies ...
This book presents a set of historical recollections on the work of Martin Davis and his role in advancing our understanding of the connections between logic, computing, and unsolvability.
The Description Logic Handbook provides a thorough account of the subject, covering all aspects of research in this field, namely: theory, implementation, and applications.
This book gathers thousands of up-to-date equations, formulas, tables, illustrations, and explanations into one invaluable volume.
By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity.
This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming.
Beyond tamaki-sato style unfold/fold transformations for normal logic programs. In P. S. Thiagarajan and R. H. C. Yap, editors, Proceedings of ASIAN'99, 5th Asian Computing Science Conference, Phuket, Thailand, December 10-12, ...
This handbook, written by thirty-six prominent members of the computational social choice community, covers the field comprehensively. Chapters devoted to each of the field's major themes offer detailed introductions.