Proof Theory of Modal Logic

Buch | Softcover

318 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1996
Springer (Verlag)
978-90-481-4720-5 (ISBN)

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Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.

I Standard Proof Systems.- A Contraction-free Sequent Calculus for S4.- Transfer of Sequent Calculus Strategies to Resolution for S4.- A Linear Approach to Modal Proof Theory.- Refutations and Proofs in S4.- II Extended Formalisms.- Relational Proof Systems for Modal Logics.- The Display Problem.- Power and Weakness of the Modal Display Calculus.- A Proof-theoretic Proof of Functional Completeness for Many Modal and Tense Logics.- On the Completeness of Classical Modal Display Logic.- Modal Sequents.- Modal Functional Completeness.- A Computational Interpretation of Modal Proofs.- Gabbay-style Calculi.- III Translation-based Proof Systems.- Translating Graded Modalities into Predicate Logics.- From Classical to Normal Modal Logics.

Erscheint lt. Verlag	9.12.2010
Reihe/Serie	Applied Logic Series ; 2
Zusatzinfo	X, 318 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
	Geisteswissenschaften ► Philosophie ► Logik
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	90-481-4720-4 / 9048147204
ISBN-13	978-90-481-4720-5 / 9789048147205
Zustand	Neuware