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Author Schwartz, Jacob T.
Title Computational logic and set theory [electronic resource] : applying formalized logic to analysis / Jacob T. Schwartz, Domenico Cantone, Eugenio G. Omodeo.
Alternative Title Applying formalized logic to analysis
Publication Info London ; New York : Springer, c2011.



Descript xvii, 416 p. ; 24 cm.
Contents Introduction -- Propositional- and predicate-calculus preliminaries -- A survey of inference mechanisms -- More on the structure of the verifier system -- A closer examination of the sequence of definitions and theorems presented in this book -- Undecidability and unsolvability -- A self-contained beginning for Ref's main proof scenario.
Note As computer software becomes more complex, the question of how its correctness can be assured grows ever more critical. Formal logic embodied in computer programs is an important part of the answer to this problem. This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Taking a systematic approach, the book begins with a survey of traditional branches of logic before describing in detail the underlying design of the ÆtnaNova system. Major classical results on undecidability and unsolvability are then recast for this system. Readers do not require great knowledge of formal logic in order to follow the text, but a good understanding of standard programming techniques, and a familiarity with mathematical definitions and proofs reflecting the usual levels of rigor is assumed.
ISBN 9780857298072 (hbk. : alk. paper)
0857298070 (hbk. : alk. paper)
9780857298089 (e-book)
0857298089 (e-book)
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Author Schwartz, Jacob T.
Subject Set theory.
Alt author Cantone, Domenico.
Omodeo, Eugenio.
Alternative Title Applying formalized logic to analysis
Descript xvii, 416 p. ; 24 cm.
Contents Introduction -- Propositional- and predicate-calculus preliminaries -- A survey of inference mechanisms -- More on the structure of the verifier system -- A closer examination of the sequence of definitions and theorems presented in this book -- Undecidability and unsolvability -- A self-contained beginning for Ref's main proof scenario.
Note As computer software becomes more complex, the question of how its correctness can be assured grows ever more critical. Formal logic embodied in computer programs is an important part of the answer to this problem. This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Taking a systematic approach, the book begins with a survey of traditional branches of logic before describing in detail the underlying design of the ÆtnaNova system. Major classical results on undecidability and unsolvability are then recast for this system. Readers do not require great knowledge of formal logic in order to follow the text, but a good understanding of standard programming techniques, and a familiarity with mathematical definitions and proofs reflecting the usual levels of rigor is assumed.
ISBN 9780857298072 (hbk. : alk. paper)
0857298070 (hbk. : alk. paper)
9780857298089 (e-book)
0857298089 (e-book)
Author Schwartz, Jacob T.
Subject Set theory.
Alt author Cantone, Domenico.
Omodeo, Eugenio.
Alternative Title Applying formalized logic to analysis

Subject Set theory.
Descript xvii, 416 p. ; 24 cm.
Contents Introduction -- Propositional- and predicate-calculus preliminaries -- A survey of inference mechanisms -- More on the structure of the verifier system -- A closer examination of the sequence of definitions and theorems presented in this book -- Undecidability and unsolvability -- A self-contained beginning for Ref's main proof scenario.
Note As computer software becomes more complex, the question of how its correctness can be assured grows ever more critical. Formal logic embodied in computer programs is an important part of the answer to this problem. This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Taking a systematic approach, the book begins with a survey of traditional branches of logic before describing in detail the underlying design of the ÆtnaNova system. Major classical results on undecidability and unsolvability are then recast for this system. Readers do not require great knowledge of formal logic in order to follow the text, but a good understanding of standard programming techniques, and a familiarity with mathematical definitions and proofs reflecting the usual levels of rigor is assumed.
Alt author Cantone, Domenico.
Omodeo, Eugenio.
ISBN 9780857298072 (hbk. : alk. paper)
0857298070 (hbk. : alk. paper)
9780857298089 (e-book)
0857298089 (e-book)

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