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A First-Order Logic with Frames [PDF]

open access: yesProgramming Languages and Systems29th European Symposium on Programming, 2020
AbstractWe propose a novel logic, called Frame Logic (FL), that extends first-order logic (with recursive definitions) using a construct $$\textit{Sp}(\cdot )$$ Sp ( · ) that captures the implicit supports of formulas ...
Murali A   +3 more
europepmc   +5 more sources

Making first order linear logic a generating grammar [PDF]

open access: yesLogical Methods in Computer Science, 2023
It is known that different categorial grammars have surface representation in a fragment of first order multiplicative linear logic (MLL1). We show that the fragment of interest is equivalent to the recently introduced extended tensor type calculus (ETTC)
Sergey Slavnov
doaj   +1 more source

Positive First-order Logic on Words and Graphs [PDF]

open access: yesLogical Methods in Computer Science, 2023
We study FO+, a fragment of first-order logic on finite words, where monadic predicates can only appear positively. We show that there is an FO-definable language that is monotone in monadic predicates but not definable in FO+.
Denis Kuperberg
doaj   +1 more source

Interactive Interpretation Viewer for Typed First-order Logic

open access: yesProceedings of the International Florida Artificial Intelligence Research Society Conference, 2023
This poster describes the Interactive Interpretation Viewer - IIV, for finite interpretations in typed first-order logic written in the (new) TPTP format for interpretations.
Jack McKeown, Geoff Sutcliffe
doaj   +1 more source

Successor-Invariant First-Order Logic on Classes of Bounded Degree [PDF]

open access: yesLogical Methods in Computer Science, 2021
We study the expressive power of successor-invariant first-order logic, which is an extension of first-order logic where the usage of an additional successor relation on the structure is allowed, as long as the validity of formulas is independent of the ...
Julien Grange
doaj   +1 more source

Game semantics for first-order logic [PDF]

open access: yesLogical Methods in Computer Science, 2010
We refine HO/N game semantics with an additional notion of pointer (mu-pointers) and extend it to first-order classical logic with completeness results.
Olivier Laurent
doaj   +1 more source

GEOMETRISATION OF FIRST-ORDER LOGIC [PDF]

open access: yesThe Bulletin of Symbolic Logic, 2015
AbstractThat every first-order theory has a coherent conservative extension is regarded by some as obvious, even trivial, and by others as not at all obvious, but instead remarkable and valuable; the result is in any case neither sufficiently well-known nor easily found in the literature.
Dyckhoff R., Negri S.
openaire   +5 more sources

Separating Regular Languages with First-Order Logic [PDF]

open access: yesLogical Methods in Computer Science, 2016
Given two languages, a separator is a third language that contains the first one and is disjoint from the second one. We investigate the following decision problem: given two regular input languages of finite words, decide whether there exists a first ...
Thomas Place, Marc Zeitoun
doaj   +1 more source

First-order logical filtering [PDF]

open access: yesArtificial Intelligence, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Afsaneh Shirazi, Eyal Amir
openaire   +2 more sources

Lindstrom theorems for fragments of first-order logic [PDF]

open access: yesLogical Methods in Computer Science, 2009
Lindstr\"om theorems characterize logics in terms of model-theoretic conditions such as Compactness and the L\"owenheim-Skolem property. Most existing characterizations of this kind concern extensions of first-order logic.
Johan van Benthem   +2 more
doaj   +1 more source

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