Mathematical logic is an important basis for mathematics, computer science and artificial intelligence alike. This book provides a comprehensive introduction to various logics, including classical propositional logic and first-order predicate logic, as well as equational logic, temporal logic, and Hoare logic. In addition, it presents proof procedures for classical logics and decision procedures for checking the satisfiability of logical formulas.
The book assumes no background in logic. It presents logics as practical tools for solving various problems in artificial intelligence and formal verification. Accordingly, it is well suited for (junior and senior) undergraduate and graduate students majoring in computer science or mathematics. Each chapter includes roughly a dozen exercise problems, so as to help the reader understand the concepts and techniques discussed.
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Brief outline
【One-Line Pitch】
Mathematical logic is an important basis for mathematics, computer science and artificial intelligence alike. This bo…
【Book Arc】
- **Opening (~0%–12%)**: In addition, it presents proof procedures for classical logics and decision procedures for checking the satisfiability of logical formulas.; or dissimilar methodology now known or hereafter developed.
- **Early (~12%–35%)**: anual Kounalis, William McCune, Mark Stickel, to name a few.; 8 1.2.2 Informal Fallacies .
- **Middle (~35%–65%)**: 200 6 Unification and Resolution .; 229 6.4.3 Simplification Orders in Prover9.
- **Late (~65%–88%)**: 435 12.1.1 Propositional Abstraction .; 477 About the Authors Hantao Zhang is Professor of Computer Science with the University of Iowa, USA.
- **Ending (~88%–100%)**: sis, and intellectual reflection on issues arising in logic.; c, which is the simplest one in the family of Boolean logic.
【Key Takeaways】
- **In addition** (Opening): In addition, it presents proof procedures for classical logics and decision procedures for checking the satisfiability of logical formulas.
- **or dissimilar methodol…** (Opening): or dissimilar methodology now known or hereafter developed.
- **, and is the result of…** (Opening): , and is the result of adding computability to countability.
- **anual Kounalis** (Early): anual Kounalis, William McCune, Mark Stickel, to name a few.
- **8 1.2.2 Informal Falla…** (Early): 8 1.2.2 Informal Fallacies .
- **78 3 Reasoning in Prop…** (Early): 78 3 Reasoning in Propositional Logic .
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Compressed outline without the model (~28 index chunks). Full structured guide needs AI available.
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or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this p...
sis, and intellectual reflection on issues arising in logic. It is the branch of studying questions about reference, predication, identity, truth, quantifica...
Aristotle has had an enormous influence in Western thought. He developed the theory of syllogism, where three important principles are applied for the first...
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