Skip to main content Accessibility help
×
Hostname: page-component-76fb5796d-25wd4 Total loading time: 0 Render date: 2024-04-27T00:34:55.070Z Has data issue: false hasContentIssue false

Gentzen-type systems and resolution rule. Part II. Predicate logic

Published online by Cambridge University Press:  24 March 2017

Grigori Mints
Affiliation:
Institute of Cybernetics
Juha Oikkonen
Affiliation:
University of Helsinki
Jouko Väänänen
Affiliation:
University of Helsinki
Get access
Type
Chapter
Information
Logic Colloquium '90 , pp. 163 - 190
Publisher: Cambridge University Press
Print publication year: 2017

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chang, C.-L. and Lee, R.. Symbolic logic and mechanical theorem proving. Academic Press, New York, 1973.
Curry, H.. Foundations of mathematical logic. McGraw-Hill, New York, 1963.
Kanger, S.. Handbook i logic. (Mimeographed.) Stockholm, 1959.
Kleene, S. C.. Introduction to metamathematics. Van Nostrand, Princeton, 1952; reprinted by North-Holland, Amsterdam.
Kleene, S. C.. Permutability of inferences in Gentzen's calculi LK and LJ . Two papers on the predicate calculus , Memoirs of the American Mathematical Society, vol. 10, 1952.Google Scholar
Kripke, S.. A completeness theorem in modal logic . The journal of symbolic logic , vol. 24 (1959), pp. 1–14.Google Scholar
Lifschitz, V.. What is the inverse method? Journal of automated reasoning , vol. 5 (1989), pp. 1–23.Google Scholar
Maslov, S. Yu.. The inverse method of establishing deducibility (Russian). Trudy Matematicheskogo Instituta imeni V. A. Steklova , vol. 98 (1968), pp. 26–87. (Translated by the American Mathematical Society.)Google Scholar
Maslov, S. Yu.. Proof search strategies based on the ordering in a favorable set . Seminars in mathematics , vol. 16, Plenum Press, New York, 1971.Google Scholar
Maslov, S. Yu.. Connection between the strategies of the inverse method and the resolution method . Seminars in mathematics , vol. 16, Plenum Press, New York, 1971.Google Scholar
Maslov, S. Yu.. Theory of deductive systems and its applications. MIT Press, Cambridge, Mass, 1987.
Mints, G.. Lewis systems and the system T (Russian). In: Feys, R., Modal logic , Nauka, Moscow, 1974. English translation in G. Mints, Proof-theoretic transformations , Bibliopolis, Napoli, 1990.
Mints, G.. Resolution calculi for the non-classical logics (Russian). 9th Soviet Symposium in Cybernetics , VINITI, Moscow, 1981.Google Scholar
Mints, G.. Resolution calculi for the non-classical logics (Russian). Semiotics and informatics , vol. 25 (1985), pp. 120–135.Google Scholar
Mints, G.. Resolution calculi for modal logics (Russian). Proceedings of the Estonian Academy of Science , N3 (1986), pp. 279–290. (English translation in Translations of the AMS , series 2, vol. 143, pp. 1–10, 1989.)Google Scholar
Mints, G.. Cutfree formalisations and resolution methods for propositional modal logic . VIII International Congress for Logic, Methodology and Philosophy of Science, Moscow, 1987, pp. 46–48.
Mints, G.. Gentzen-type systems and resolution rules. Part I. Propositional logic . COLOG-88 , Lecture notes in computer science, vol. 417, Springer-Verlag, Berlin, Heidelberg, New York, 1990, pp. 198–231.
Shvartz, G.. Gentzen style systems for K45 and K45D. Lecture notes in computer science, vol. 363, Springer-Verlag, Berlin, Heidelberg, New York, 1989, pp. 245–256.
Zamov, N.. Resolution without Skolemization . Doklady Akademii Nauk SSSR , vol. 293, N5 (1987), pp. 1046–1049.Google Scholar
Zamov, N.. Maslov's inverse method and decidable classes . Annals of pure and applied logic , vol. 42 (1989), pp. 165–194.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×