David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Hybrid logics internalize their own semantics. Members of the newer family of justification logics internalize their own proof methodology. It is an appealing goal to combine these two ideas into a single system, and in this paper we make a start. We present a hybrid/justification version of the modal logic T. We give a semantics, a proof theory, and prove a completeness theorem. In addition, we prove a Realization Theorem, something that plays a central role for justification logics generally. Since justification logics are newer and less well-known than hybrid logics, we sketch their background, and give pointers to their range of applicability. We conclude with suggestions for future research. Indeed, the main goal of this paper is to encourage others to continue the investigation begun here.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
Melvin Fitting (2016). Modal Logics, Justification Logics, and Realization. Annals of Pure and Applied Logic 167 (8):615-648.
Samuel R. Buss & Roman Kuznets (2012). Lower Complexity Bounds in Justification Logic. Annals of Pure and Applied Logic 163 (7):888-905.
Similar books and articles
Torben Braüner (2005). Proof-Theoretic Functional Completeness for the Hybrid Logics of Everywhere and Elsewhere. Studia Logica 81 (2):191 - 226.
Volker Weber (2009). Branching-Time Logics Repeatedly Referring to States. Journal of Logic, Language and Information 18 (4):593-624.
Yde Venema (1995). Meeting Strength in Substructural Logics. Studia Logica 54 (1):3 - 32.
Dmitry Sustretov (2009). Hybrid Logics of Separation Axioms. Journal of Logic, Language and Information 18 (4):541-558.
Rineke Verbrugge, Gerard Renardel de Lavalette & Barteld Kooi, Hybrid Logics with Infinitary Proof Systems.
Kooi, Barteld, Renardel de Lavalette, Gerard & Verbrugge, Rineke, Hybrid Logics with Infinitary Proof Systems.
Added to index2009-06-23
Total downloads41 ( #115,761 of 1,941,071 )
Recent downloads (6 months)2 ( #334,047 of 1,941,071 )
How can I increase my downloads?