Tableau for the logic ILP

Author:

Ognjanovic Zoran1ORCID,Perovic Aleksandar2ORCID,Ilic-Stepic Angelina1ORCID

Affiliation:

1. Mathematical Institute, Serbian Academy of Sciences and Arts, Beograd, Serbia

2. Faculty of Transport and Traffic Engineering, University of Belgrade, Beograd, Serbia

Abstract

A tableau system for a logic suitable for intuitionistic reasoning about probabilities is presented. Soundness and completeness of the system are proved. A decision procedure based on the tableau system is given.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference11 articles.

1. E.W. Beth, Semantic entailment and formal derivability, Mededelingen der Koninklijke Nederlandse Akademie van Wetenschappen 18 (1955), 309-342.

2. B. Boričić, M. Rašković, A probabilistic validity measure in intuitionistic propositional logic, Math. Balk., New Ser. 10 (1996), 365-372.

3. M.C. Fitting, Proof methods for modal and intuitionistic logics, Synthese library 169, Reidel, Dordrecht-Boston-Lancaster, 1983.

4. M.C. Fitting, Nested sequents for intuitionistic logics, Notre Dame J. Formal Logic 55(1) (2014), 41-61.

5. J. Hintikka, Form and content in quantification theory, Acta Philos. Fenn. 8 (1955), 7-55.

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