A Logical Theory of Causality

Alexander Bochman

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English

MIT Press
21 September 2021

Computing: general

A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference.

A general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference.

In this book, Alexander Bochman presents a general formal theory of causal reasoning as a logical study of causal models, reasoning, and inference, basing it on a supposition that causal reasoning is not a competitor of logical reasoning but its complement for situations lacking logically sufficient data or knowledge. Bochman also explores the relationship of this theory with the popular structural equation approach to causality proposed by Judea Pearl and explores several applications ranging from artificial intelligence to legal theory, including abduction, counterfactuals, actual and proximate causality, dynamic causal models, and reasoning about action and change in artificial intelligence.

As logical preparation, before introducing causal concepts, Bochman describes an alternative, situation-based semantics for classical logic that provides a better understanding of what can be captured by purely logical means. He then presents another prerequisite, outlining those parts of a general theory of nonmonotonic reasoning that are relevant to his own theory. These two components provide a logical background for the main, two-tier formalism of the causal calculus that serves as the formal basis of his theory. He presents the main causal formalism of the book as a natural generalization of classical logic that allows for causal reasoning. This provides a formal background for subsequent chapters. Finally, Bochman presents a generalization of causal reasoning to dynamic domains.

By: Alexander Bochman
Imprint: MIT Press
Country of Publication: United States
Dimensions: Height: 229mm, Width: 178mm,
Weight: 368g
ISBN: 9780262045322
ISBN 10: 026204532X
Pages: 366
Publication Date: 21 September 2021
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Preface xi I LOGICAL PROLEGOMENA 1 A Two-Tier System of Causal Reasoning 2 Mereological Semantics for Classical Logic 3 Assumption-Based Nonmonotonic Reasoning II THE BASICS 4 Causal Calculus 5 Structural Equation Models 6 Indeterminate Causation III EXPLANATORY CAUSAL REASONING 7 Abduction 8 Actual Causality 9 Relative Causality IV DYNAMIC CAUSAL REASONING 10 Causal Dynamic Formalisms 11 Dynamic Markov Assumption 12 Dynamic Causal Calculus Bibliography Index

Alexander Bochman is Associate Professor in the Computer Science Department at Holon Institute of Technology in Holon, Israel.