Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-07T23:06:27.570Z Has data issue: false hasContentIssue false

Bibliography

Published online by Cambridge University Press:  23 March 2017

Josep Maria Font
Affiliation:
Universitat de Barcelona
Ramon Jansana
Affiliation:
Universitat de Barcelona
Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
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

Adillon, R. and Verdú, V. [1996] A Gentzen system equivalent to the BCK-logic , Bulletin of the Section of Logic , vol. 25, no. 2, pp. 73–79.Google Scholar
Anderson, A. R. and Belnap, N. D. [1975] Entailment. The logic of relevance and necessity , vol. I, Princeton University Press.
Anderson, A. R., Belnap, N. D., and Dunn, J. M. [1992] Entailment. The logic of relevance and necessity , vol. II, Princeton University Press.
Babyonyshev, S. [2003] Fully Fregean logics , Reports on Mathematical Logic , vol. 37, pp. 59–78.Google Scholar
Balbes, R. and Dwinger, P. [1974] Distributive lattices , University of Missouri Press, Columbia (Missouri).
Belardinelli, F., Jipsen, P., and Ono, H. [2004] Algebraic aspects of cut elimination , Studia Logica , vol. 77, pp. 209–240.Google Scholar
Belnap, N. D. [1977] A useful four-valued logic , Modern uses of multiple-valued logic (Dunn, J. M. and Epstein, G., editors), Reidel, Dordrecht-Boston, pp. 8–37.
Birkhoff, G. [1973] Lattice theory , 3rd. ed., Colloquium Publications, vol. XXV, American Mathematical Society, Providence, (1st. ed. 1940).
Blok, W. and Jónsson, B. [2006] Equivalence of consequence operations , Studia Logica (Special issue in memory of Willem Blok) , vol. 83, pp. 91–110.Google Scholar
Blok, W. J. and Köhler, P. [1983] Algebraic semantics for quasi-classical modal logics , The Journal of Symbolic Logic , vol. 48, pp. 941–964.Google Scholar
Blok, W. J. and Pigozzi, D. [1986] Protoalgebraic logics , Studia Logica , vol. 45, pp. 337–369.Google Scholar
Blok, W. J. and Pigozzi, D. [1988] Alfred Tarski's work on general metamathematics , The Journal of Symbolic Logic , vol. 53, pp. 36–50.Google Scholar
Blok, W. J. and Pigozzi, D. [1989a] Algebraizable logics , Memoirs of the American Mathematical Society, vol. 396, A.M.S., Providence, January.
Blok, W. J. and Pigozzi, D. [1989b] The Deduction Theorem in algebraic logic, Unpublished manuscript, partly subsumed in Blok and Pigozzi [200x].
Blok, W. J. and Pigozzi, D. [1991] Local deduction theorems in algebraic logic , Algebraic logic (Andréka, H., Monk, J. D., and Németi, I., editors), Colloquia Mathematica Societatis János Bolyai, vol. 54, North-Holland, Amsterdam, pp. 75–109.
Blok, W. J. and Pigozzi, D. [1992] Algebraic semantics for universal Horn logic without equality , Universal algebra and quasigroup theory (Romanowska, A. and Smith, J. D. H., editors), Heldermann, Berlin, pp. 1–56.
Blok, W. J. and Pigozzi, D. [200x] Abstract algebraic logic and the Deduction Theorem , The Bulletin of Symbolic Logic , To appear.Google Scholar
Bloom, S. L. [1977] A note on Ψ-consequences , Reports on Mathematical Logic , vol. 8, pp. 3–9.Google Scholar
Bloom, S. L. and Brown, D. J. [1973] Classical abstract logics , Dissertationes Mathematicae (Rozprawy Mat.) , vol. 102, pp. 43–51.Google Scholar
Bou, F. [2001] Implicación estricta y lógicas subintuicionistas , Master Thesis , University of Barcelona.
Bou, F., Esteva, F., Font, J. M., Gil, A., Godo, Ll., Torrens, A., and Verdú, V. [2009] Logics preserving degrees of truth from varieties of residuated lattices , Journal of Logic and Computation , To appear.Google Scholar
Bou, F., Font, J. M., and García Lapresta, J. L. [2004] On weakening the deduction theorem and strengthening modus ponens , Mathematical Logic Quarterly , vol. 50, pp. 303–324.Google Scholar
Brown, D. J. [1969] Abstract logics , Ph. D. Thesis , Stevens Institute of Technology.
Brown, D. J. and Suszko, R. [1973] Abstract logics , Dissertationes Mathematicae (Rozprawy Mat.) , vol. 102, pp. 9–42.Google Scholar
Burris, S. and Sankappanavar, H. P. [1981] A course in universal algebra , Springer-Verlag, New York.
Casanovas, E., Dellunde, P., and Jansana, R. [1996] On elementary equivalence for equality-free logic , Notre Dame Journal of Formal Logic , vol. 37, no. 3, pp. 506–522.Google Scholar
Celani, S. and Jansana, R. [2001] A closer look at some subintuitionistic logics , Notre Dame Journal of Formal Logic , vol. 42, pp. 225–255.Google Scholar
Chellas, B. F. [1980] Modal logic: An introduction , Cambridge University Press, Cambridge, Cambridge.
Cignoli, R. [1991] Quantifiers on distributive lattices , Discrete Mathematics , vol. 96, pp. 183–197.Google Scholar
Czelakowski, J. [1980] Reduced products of logical matrices , Studia Logica , vol. 39, pp. 19–43.Google Scholar
Czelakowski, J. [1981] Equivalential logics, I, II , Studia Logica , vol. 40, pp. 227–236 and 355–372.Google Scholar
Czelakowski, J. [1984] Remarks on finitely based logics , Models and Sets (Müller, G. H. and Richter, M. M., editors), Lecture Notes in Mathematics, vol. 1103, Springer Verlag, Berlin, pp. 147–168.
Czelakowski, J. [1985] Algebraic aspects of deduction theorems , Studia Logica , vol. 44, pp. 369–387.Google Scholar
Czelakowski, J. [1986] Local deductions theorems , Studia Logica , vol. 45, pp. 377–391.Google Scholar
Czelakowski, J. [1992] Consequence operations: Foundational studies , Reports of the Research Project “Theories, Models, Cognitive Schemata” , Institute of Philosophy and Sociology, Polish Academy of Sciences, Warszawa.
Czelakowski, J. [2001a] Protoalgebraic logics , Trends in Logic, Studia Logica Library, vol. 10, Kluwer Academic Publishers, Dordrecht.
Czelakowski, J. [2001b] Protoalgebraic logics , Trends in Logic - Studia Logica Library, vol. 10, Kluwer Academic Publishers, Dordrecht.
Czelakowski, J. and Dziobiak, W. [1991] A deduction theorem schema for deductive systems of propositional logics , Studia Logica, Special Issue on Algebraic Logic , vol. 50, pp. 385–390.Google Scholar
Czelakowski, J. and Jansana, R. [2000] Weakly algebraizable logics , The Journal of Symbolic Logic , vol. 65, no. 2, pp. 641–668.Google Scholar
Czelakowski, J. and Malinowski, G. [1985] Key notions of Tarski's methodology of deductive systems , Studia Logica , vol. 44, pp. 321–351.Google Scholar
Czelakowski, J. and Pigozzi, D. [2004a] Fregean logics , Annals of Pure and Applied Logic , vol. 127, pp. 17–76.Google Scholar
Czelakowski, J. and Pigozzi, D. [2004b] Fregean logics with the multiterm deduction theorem and their algebraization , Studia Logica , vol. 78, pp. 171–212.Google Scholar
Dellunde, P. [1996] Contributions to the model theory of equality-free logic , Ph. D. Thesis , University of Barcelona.
Dellunde, P. [1999] Equality-free logic: The method of diagrams and preservation theorems , Logic Journal of the IGPL , vol. 7, pp. 717–732.Google Scholar
Dellunde, P. [2000a] On definability of the equality in classes of algebras with an equivalence relation , Studia Logica , vol. 64, pp. 345–353.Google Scholar
Dellunde, P. [2000b] A preservation theorem for equality-free Horn sentences , Theoria (San Sebastián) , vol. 39, pp. 517–530.Google Scholar
Dellunde, P. [2003] Equality-free saturated models , Reports on Mathematical Logic , vol. 37, pp. 3–22.Google Scholar
Dellunde, P. and Jansana, R. [1994] On structural equivalence of theories, Manuscript.
Dellunde, P. and Jansana, R. [1996] Some characterization theorems for infinitary universal Horn logic without equality , The Journal of Symbolic Logic , vol. 61, no. 4, pp. 1242–1260.Google Scholar
Diego, A. [1965] Sobre álgebras de Hilbert , Notas de Lógica Matemática, vol. 12, Universidad Nacional del Sur, Bahía Blanca (Argentina).
Diego, A. [1966] Sur les algèbres de Hilbert , Gauthier-Villars, Paris.
Došen, K. [1986] Modal translations and intuitionistic double negation , Logique et Analyse , vol. 29, pp. 81–94.Google Scholar
Došen, K. and Schroeder-Heister, P. [1993] Substructural logics , Studies in Logic and Computation, vol. 2, Oxford University Press.
Dunn, J. M. [1976] Intuitive semantics for first-degree entailments and ‘coupled trees’ , Philosophical Studies , vol. 29, pp. 149–168.Google Scholar
Dunn, J. M. and Restall, G. [2002] Relevance logic and entailment , Handbook of philosophical logic, second edition (Gabbay, D. and Guenthner, F., editors), vol. 6, Kluwer, Dordrecht, pp. 1–128.
Dyrda, K. and Prucnal, T. [1980] On finitely based consequence determined by a distributive lattice , Bulletin of the Section of Logic , vol. 9, pp. 60–66.Google Scholar
Elgueta, R. [1994] Algebraic model theory for languages without equality , Ph. D. Thesis , University of Barcelona.
Elgueta, R. [1997] Characterizing classes defined without equality , Studia Logica , vol. 58, no. 3, pp. 357–394.Google Scholar
Elgueta, R. [1998] Subdirect representation theory for classes without equality , Algebra Universalis , vol. 40, pp. 201–246.Google Scholar
Elgueta, R. and Jansana, R. [1999] Definability of Leibniz equality , Studia Logica , vol. 63, pp. 223–243.Google Scholar
Figallo, A. [1992] On the congruences in four-valued modal algebras , Portugaliae Mathematica , vol. 49, pp. 249–261.Google Scholar
Font, J. M. [1980] Introducció d'interiors d'ordre en lògiques abstractes , Publicacions de la Secció de Matemàtiques, Universitat Autònoma de Barcelona , vol. 20, pp. 79–82.Google Scholar
Font, J. M. [1987] On some congruence lattices of a topological Heyting lattice , Contributions to general algebra (Czermak, J. et al., editors), vol. 5, Teubner, Stuttgart, pp. 129–137.
Font, J. M. [1993] On the Leibniz congruences , Algebraic methods in logic and in computer science (Rauszer, C., editor), Banach Center Publications, vol. 28, Polish Academy of Sciences, Warszawa, pp. 17–36.
Font, J. M. [1997] Belnap's four-valued logic and De Morgan lattices , Logic Journal of the I.G.P.L. , vol. 5, no. 3, pp. 413–440.Google Scholar
Font, J. M. [2003a] An abstract algebraic logic view of some multiple-valued logics , Beyond two: Theory and applications of multiple-valued logic (Fitting, M. and Orlowska, E., editors), Studies in Fuzziness and Soft Computing, vol. 114, Physica-Verlag, Heidelberg, pp. 25–58.
Font, J. M. [2003b] Generalized matrices in abstract algebraic logic , Trends in logic. 50 years of studia logica (Hendriks, V. F. and Malinowski, J., editors), Trends in Logic - Studia Logica Library, vol. 21, Kluwer, Dordrecht, pp. 57–86.
Font, J. M. [2006] Beyond Rasiowa's algebraic approach to non-classical logics , Studia Logica , vol. 82, pp. 172–209.Google Scholar
Font, J. M., Gil, A., Torrens, A., and Verdú, V. [2006] On the infinite-valued Łukasiewicz logic that preserves degrees of truth , Archive for Mathematical Logic , vol. 45, pp. 839–868.Google Scholar
Font, J. M., Guzmán, F., and Verdú, V. [1991] Characterization of the reduced matrices for the {∧, ∨}-fragment of classical logic , Bulletin of the Section of Logic , vol. 20, pp. 124–128.Google Scholar
Font, J. M. and Jansana, R. [1994] On the sentential logics associated with strongly nice and semi-nice general logics , Bulletin of the I.G.P.L. , vol. 2, pp. 55–76.Google Scholar
Font, J. M. and Jansana, R. [1995] Full models for sentential logics , Bulletin of the Section of Logic , vol. 24, no. 3, pp. 123–131.Google Scholar
Font, J. M. and Jansana, R. [2001] Leibniz filters and the strong version of a protoalgebraic logic , Archive for Mathematical Logic , vol. 40, pp. 437–465.Google Scholar
Font, J. M., R. Jansana, and Pigozzi, D. [2001] Fully adequate Gentzen systems and the deduction theorem , Reports on Mathematical Logic , vol. 35, pp. 115–165.Google Scholar
Font, J. M., Jansana, R., and Pigozzi, D. [2003] A survey of abstract algebraic logic , Studia Logica (Special issue on Abstract Algebraic Logic, Part II) , vol. 74, pp. 13–97.Google Scholar
Font, J. M., R. Jansana, and Pigozzi, D. [2006] On the closure properties of the class of full g-models of a deductive system , Studia Logica (Special issue in memory of Willem Blok) , vol. 83, pp. 215–278.Google Scholar
Font, J. M. and Rius, M. [1990] A four-valued modal logic arising from Monteiro's last algebras , Proceedings of the 20th international symposium on multiple-valued logic (Charlotte), The IEEE Computer Society Press, pp. 85–92.
Font, J. M. and Rius, M. [2000] An abstract algebraic logic approach to tetravalent modal logics , The Journal of Symbolic Logic , vol. 65, no. 2, pp. 481–518.Google Scholar
Font, J. M. and Rodríguez, G. [1990] Note on algebraic models for relevance logic , Zeitschrift für Mathematische Logik und Grundlagen der Mathematik , vol. 36, pp. 535–540.Google Scholar
Font, J. M. and Rius, M. [1994] Algebraic study of two deductive systems of relevance logic , Notre Dame Journal of Formal Logic , vol. 35, no. 3, pp. 369–397.Google Scholar
Font, J. M. and Verdú, V. [1979] Lògiques abstractes, operadors interior, i lògiques modals S4 , Revista de la Universidad de Santander , vol. II, no. 2, pp. 867–869 and 1003–1015.Google Scholar
Font, J. M. and Verdú, V. [1988] Abstract characterization of a four-valued logic , Proceedings of the 18th international symposium on multiple-valued logic (Palma de Mallorca), The IEEE Computer Society Press, pp. 389–396.
Font, J. M. and Verdú, V. [1989a] Completeness theorems for a four-valued logic related to De Morgan lattices , Faculty of Mathematics Preprint Series , University of Barcelona, March, 10pp.
Font, J. M. and Verdú, V. [1989b] A first approach to abstract modal logics , The Journal of Symbolic Logic , vol. 54, pp. 1042–1062.Google Scholar
Font, J. M. and Verdú, V. [1990] Two levels of modality: an algebraic approach , Logic counts (Żarnecka-Biały, E., editor), Reidel, Dordrecht, pp. 53–62.
Font, J. M. and Verdú, V. [1991] Algebraic logic for classical conjunction and disjunction , Studia Logica, Special Issue on Algebraic Logic , vol. 50, pp. 391–419.Google Scholar
Gabbay, D. [1994] What is a logical system? , Studies in Logic and Computation, vol. 4, Oxford University Press.
Galatos, N., Jipsen, P., Kowalski, T., and Ono, H. [2007] Residuated lattices: an algebraic glimpse at substructural logics , Studies in Logic and the Foundations of Mathematics, vol. 151, Elsevier, Amsterdam.
García Lapresta, J. L. [1988a] El Principio de la Deducción con dos o menos premisas: Estudio algebraico, Actas de las XIII Jornadas Hispano-Lusas de Matemáticas (Valladolid), To appear.
García Lapresta, J. L. [1988b] Restricciones en la Propiedad de la Deducción: Análisis preliminar , Actes del VII Congrés Catalàde Lògica , Barcelona, pp. 47–50.
García Lapresta, J. L. [1991] Lógicas finitamente deductivas. Restricciones de cardinalidad en la Propiedad de la Deducción , Ph. D. Thesis , University of Barcelona.
Gil, A. J. [1996] Sistemes de Gentzen multidimensionals i lògiques finitament valorades. Teoria i Aplicacions , Ph. D. Thesis , University of Barcelona.
Gil, A. J., Torrens, A., and Verdú, V. [1997] On Gentzen systems associated with the finite linear MV-algebras , Journal of Logic and Computation , vol. 7, no. 4, pp. 473–500.Google Scholar
Grzegorczyk, A. [1972] An approach to logical calculi , Studia Logica , vol. 30, pp. 33–43.Google Scholar
Harrop, R. [1965] Some structure results for propositional calculi , The Journal of Symbolic Logic , vol. 30, pp. 271–292.Google Scholar
Harrop, R. [1968] Some forms of models of propositional calculi , Contributions to mathematical logic (Schmidt, H. A., Schütte, K., and Thiele, H. J., editors), North-Holland, pp. 163–174.
Herrmann, B. [1993a] Algebraizability and Beth's Theorem for equivalential logics , Bulletin of the Section of Logic , vol. 22, pp. 85–88.Google Scholar
Herrmann, B. [1993b] Equivalential logics and definability of truth , Ph. D. Thesis , Freie Universität Berlin, 61 pp.
Herrmann, B. and Wolter, F. [1994] Representations of algebraic lattices , Algebra Universalis , vol. 31, pp. 612–613.Google Scholar
Jansana, R. [1991] Los fragmentos □ de la lógica modal K , Actas del VII Congreso de Lenguajes Naturales y Lenguajes Formales (Vic, Barcelona) (Martín-Vide, C., editor), pp. 409–413.
Jansana, R. [1992] La lógica de la demostrabilidad y una semántica de lógicas abstractas, Manuscript.
Jansana, R. [1995] Abstract modal logics , Studia Logica , vol. 55, no. 2, pp. 273–299.Google Scholar
Jansana, R. [2002] Full models for positive modal logic , Mathematical Logic Quarterly , vol. 48, pp. 427–445.Google Scholar
Jansana, R. [2003] Leibniz filters revisited , Studia Logica , vol. 75, pp. 305–317.Google Scholar
Jansana, R. [2005] Selfextensional logics with implication , Logica universalis (Béziau, J.-Y., editor), Birkhäuser Verlag, Basel, pp. 65–88.
Jansana, R. [2006] Selfextensional logics with a conjunction , Studia Logica , vol. 84, pp. 63–104.Google Scholar
Keisler, H. J. and Miller, A. [2001] Categoricity without equality , Fundamenta Mathematicae , vol. 170, pp. 87–106.Google Scholar
Knuth, D. E., Larrabee, T., and Roberts, P. M. [1989] Mathematical writing , MAA Notes Series, vol. 14, The Mathematical Association of America.
Kracht, M. [2007] Modal consequence relations , Handbook of modal logic (Blackburn, P., van Benthem, J., and Wolter, F., editors), Studies in Logic and Practical Reasoning, vol. 3, Elsevier, Amsterdam, pp. 491–545.
Lemmon, E J. [1966] Algebraic semantics for modal logics (I and II) , The Journal of Symbolic Logic , vol. 31, pp. 46–65 and 191–218.Google Scholar
Lewin, R. A., Mikenberg, I. F., and Schwarze, M. G. [1990] Algebraization of paraconsistent logic P 1, Journal of Non-Classical Logic , vol. 7, pp. 79–88.Google Scholar
Lewin, R. A., Mikenberg, I. F., and Schwarze, M. G. [1991] C 1 is not algebraizable , Notre Dame Journal of Formal Logic , vol. 32, pp. 609–611.Google Scholar
Lewin, R. A., Mikenberg, I. F., and Schwarze, M. G. [1994] P 1 algebras , Studia Logica , vol. 53, pp. 21–28.Google Scholar
Łosś, J. [1949] O matrycach logicznych , Ser. B, vol. 19, Prace Wrocławskiego Towarzystwa Naukowege.
Łoś, J. and Suszko, R. [1958] Remarks on sentential logics , Indagationes Mathematicae , vol. 20, pp. 177–183.Google Scholar
Loureiro, I. [1982] Axiomatisation et propriétés des algèbres modales tétravalentes , Comptes Rendus de l'Académie des Sciences de Paris, Série I, Mathématique , vol. 295, pp. 555–557.Google Scholar
Loureiro, I. [1985] Principal congruences of tetravalent modal algebras , Notre Dame Journal of Formal Logic , vol. 26, pp. 76–80.Google Scholar
Makinson, D. [1977] Review 54#65 , Mathematical Reviews , vol. 54.Google Scholar
Pigozzi, D. [1991] Fregean algebraic logic , Algebraic logic (Andréka, H., Monk, J. D., and Németi, I., editors), Colloquia Mathematica Societatis János Bolyai, vol. 54, North-Holland, Amsterdam, pp. 473–502.
Pla, J. and Verdú, V. [1980] Àlgebres quasi-Hilbertianes , Publicacions de la Seccióde Matemàtiques, Universitat Autònoma de Barcelona , vol. 20, pp. 97–99.Google Scholar
Pogorzelski, W. A. and Słupecki, J. [1960a] Basic properties of deductive systems based on nonclassical logics, I , Studia Logica , vol. 9, pp. 163–176.Google Scholar
Pogorzelski, W. A. and Słupecki, J. [1960b] Basic properties of deductive systems based on nonclassical logics, II , Studia Logica , vol. 10, pp. 77–95.Google Scholar
Pogorzelski, W. A. and Wojtylak, P. [1982] Elements of the theory of completeness in propositional logic , The Silesian University, Katowice.
Porƙbska, M. and Wroński, A. [1975] A characterization of fragments of the intuitionistic propositional logic , Reports on Mathematical Logic , vol. 4, pp. 39–42.Google Scholar
Priest, G. [1979] The logic of paradox , Journal of Philosophical Logic , vol. 8, pp. 219–241.Google Scholar
Pynko, A. [1995] On Priest's logic of paradox , Journal of Applied Non-Classical Logics , vol. 5, pp. 219–225.Google Scholar
Pynko, A. [1999] Definitional equivalence and algebraizability of generalized logical systems , Annals of Pure and Applied Logic , vol. 98, pp. 1–68.Google Scholar
Pynko, A. P. [1995a] Algebraic study of Sette's maximal paraconsistent logic , Studia Logica , vol. 54, pp. 89–128.Google Scholar
Pynko, A. P. [1995b] Characterizing Belnap's logic via De Morgan's laws , Mathematical Logic Quarterly , vol. 41, no. 4, pp. 442–454.Google Scholar
Raftery, J. [2006] Correspondences between Gentzen and Hilbert systems , The Journal of Symbolic Logic , vol. 71, pp. 903–957.Google Scholar
Rasiowa, H. [1974] An algebraic approach to non-classical logics , Studies in Logic and the Foundations of Mathematics, vol. 78, North-Holland, Amsterdam.
Rasiowa, H. and Sikorski, R. [1953] Algebraic treatment of the notion of satisfability , Fundamenta Mathematicae , vol. 40, pp. 62–95.Google Scholar
Rautenberg, W. [1981] 2-element matrices , Studia Logica , vol. 40, pp. 315–353.Google Scholar
Rautenberg, W. [1991] Axiomatizing logics closely related to varieties , Studia Logica, Special Issue on Algebraic Logic , vol. 50, pp. 607–622.Google Scholar
Rautenberg, W. [1993] On reduced matrices , Studia Logica , vol. 52, pp. 63–72.Google Scholar
Rebagliato, J. and Verdú, V. [1993] On the algebraization of some Gentzen systems , Fundamenta Informaticae, Special Issue on Algebraic Logic and its Applications , vol. 18, pp. 319–338.Google Scholar
Rebagliato, J. and Verdú, V. [1995] Algebraizable Gentzen systems and the Deduction Theorem for Gentzen systems , Mathematics Preprint Series 175 , University of Barcelona, June.
Rius, M. [1992] Lògiques modals tetravalents , Ph. D. Thesis , University of Barcelona.
Rodríguez, A. J., Torrens, A., and Verdú, V. [1990] Łukasiewicz logic and Wajsberg algebras , Bulletin of the Section of Logic , vol. 19, pp. 51–55.Google Scholar
Rodríguez, G. [1990] Àlgebres i lògiques abstractes associades al càlcul R de la rellevància , Ph. D. Thesis , University of Barcelona.
Sette, A. M. [1973] On the propositional calculus P 1, Mathematica Japonica , vol. 16, pp. 173–180.Google Scholar
Shoesmith, D. J. and Smiley, T. J. [1978] Multiple-conclusion logic , Cambridge University Press, Cambridge.
Smiley, T. J. [1962] The independence of connectives , The Journal of Symbolic Logic , vol. 27, pp. 426–436.Google Scholar
Tarski, A. [1930] Über einige fundamentale Begriffe der Metamathematik , Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, Cl. III , vol. 23, pp. 22–29.Google Scholar
Verdú, V. [1978] Contribucióa l'estudi de certs tipus de lògiques abstractes , Ph. D. Thesis , University of Barcelona.
Tarski, A. [1979] Lògiques distributives i Booleanes , Stochastica , vol. 3, pp. 97–108.Google Scholar
Tarski, A. [1985] Some algebraic structures determined by closure operators , Zeitschrift für Mathematische Logik und Grundlagen der Mathematik , vol. 31, pp. 275–278.Google Scholar
Tarski, A. [1986] On some relations between closure operators and congruences, Manuscript.
Tarski, A. [1987] Logics projectively generated from [M] = (F 4, [{1}]) by a set of homomorphisms , Zeitschrift für Mathematische Logik und Grundlagen der Mathematik , vol. 33, pp. 235–241.Google Scholar
Wójcicki, R. [1969] Logical matrices strongly adequate for structural sentential calculi , Bulletin de l'Académie Polonaise des Sciences, Classe III , vol. XVII, pp. 333–335.Google Scholar
Wójcicki, R. [1970] Some remarks on the consequence operation in sentential logics , Fundamenta Mathematicae , vol. 68, pp. 269–279.Google Scholar
Wójcicki, R. [1973] Matrix approach in the methodology of sentential calculi , Studia Logica , vol. 32, pp. 7–37.Google Scholar
Wójcicki, R. [1984] Lectures on propositional calculi , Ossolineum, Wroclaw.
Wójcicki, R. [1988] Theory of logical calculi. Basic theory of consequence operations , Synthese Library, vol. 199, Reidel, Dordrecht.
Zeman, J. J. [1973] Modal logic. The Lewis-modal systems , Oxford University Press.

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] 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.

  • Bibliography
  • Josep Maria Font, Universitat de Barcelona, Ramon Jansana, Universitat de Barcelona
  • Book: A General Algebraic Semantics for Sentential Logics
  • Online publication: 23 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716915.007
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.

  • Bibliography
  • Josep Maria Font, Universitat de Barcelona, Ramon Jansana, Universitat de Barcelona
  • Book: A General Algebraic Semantics for Sentential Logics
  • Online publication: 23 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716915.007
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.

  • Bibliography
  • Josep Maria Font, Universitat de Barcelona, Ramon Jansana, Universitat de Barcelona
  • Book: A General Algebraic Semantics for Sentential Logics
  • Online publication: 23 March 2017
  • Chapter DOI: https://doi.org/10.1017/9781316716915.007
Available formats
×