Automated Theorem Proving: Theory and Practice

Automated theorem proving involves the development and application of algorithms and systems that automatically derive mathematical theorems from a set of axioms and rules of inference. This field merges theoretical foundations with practical implementations aimed at enhancing the efficiency and reliability of logical reasoning. Techniques such as resolution-based methods, model checking and semantic reasoning are employed to explore logical paths and verify the correctness of proofs. Automated theorem proving finds applications in various domains, including software verification and artificial intelligence research. By automating the process of theorem proving, researchers aim to reduce human error. Theoretical advancements in this field contribute to the development of reliable systems and the exploration of complex mathematical theories. This book elucidates the concepts and innovative models around prospective developments with respect to automated theorem proving. Most of the topics introduced in this book cover new techniques and applications of computer and information science. A number of latest researches have been included to keep the readers up-to-date with the global concepts in this area of study.