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Lattice logic as a fragment of (2-sorted) residuated modal logic

Journal of Applied Non-Classical Logics, 2018
ABSTRACTCorrespondence and Shalqvist theories for Modal Logics rely on the simple observation that a relational structure F=(W,R) is at the same time the basis for a model of modal logic and for a model of first-order logic with a binary predicate for the accessibility relation.
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Fragments of Default Logic

1989
In the previous chapter we furnished some insight in the use of fragments of default logic as delineated by the format of defaults they admit. The present chapter is devoted to the formal development of these fragments, including open problems.
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Fragments of first order logic, I: universal Horn logic

Journal of Symbolic Logic, 1977
Let L be any finitary language. By restricting our attention to the universal Horn sentences of L and appealing to a semantical notion of logical consequence, we can formulate the universal Horn logic of L. The present paper provides some theorems about universal Horn logic that serve to distinguish it from the full first order predicate logic ...
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A Decidable Fragment of First Order Modal Logic: Two Variable Term Modal Logic

ACM Transactions on Computational Logic, 2023
R Ramanujam, Anantha Padmanabha
exaly  

Completeness for the Classical Antecedent Fragment of Inquisitive First-Order Logic

Journal of Logic, Language and Information, 2021
Gianluca Grilletti, Grilletti Gianluca
exaly  

A Modal Loosely Guarded Fragment of Second-Order Propositional Modal Logic

Journal of Logic, Language and Information, 2022
Gennady Shtakser
exaly  

An existential fragment of second order logic

Archive for Mathematical Logic, 1999
Eric Rosen
exaly  

The Monodic Fragment of Propositional Term Modal Logic

Studia Logica, 2018
Anantha Padmanabha   +2 more
exaly  

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