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Oxford University Press - Fragments of First-Order Logic

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Description

Explore the fundamental questions of mathematical logic with Fragments of First-Order Logic from the Oxford Logic Guides series. This text examines the core concepts of satisfiability and finite satisfiability within first-order logic. It addresses the historical breakthroughs made by Church, Turing, and Trakhtenbrot regarding the algorithmic solvability of these problems. While general satisfiability was proven to be undecidable, this book focuses on the significant area of study where these problems become algorithmically solvable: restricted subsets of logic. By analyzing these fragments, readers gain a deeper understanding of the boundaries between decidability and undecidability. This work is an essential resource for those studying mathematical foundations and the limits of computational logic.

Key Features

Covers the essential distinction between satisfiability and finite satisfiability in first-order logic structures.

Provides historical context regarding the landmark findings of Church, Turing, and Trakhtenbrot.

Focuses on restricted subsets of logic where satisfiability problems become algorithmically solvable.

Part of the authoritative Oxford Logic Guides series from Oxford University Press.

Detailed examination of the mathematical foundations required to understand logical undecidability.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
30 March 2023
Listed Since
01 September 2022

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