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An existential fragment of second order logic [PDF]

open access: possibleArchive for Mathematical Logic, 1999
The author deals with the set SO(\(\exists\)) of those second-order sentences in a finite relational signature, whose quantifier prefix is an arbitrary string of second-order quantifiers followed by a string of existential first-order quantifiers. This fragment of second-order logic is shown to be decidable with respect to finite satisfiability; some ...
openaire   +2 more sources

On Constructive Fragments of Classical Logic

2014
In the late twenties and early thirties of the last century several results were obtained concerning relations between classical logic (CL) and intuitionistic logic. Glivenko, Kolmogorov, Godel, Gentzen and Kuroda, this last appeared in 1950, provided well-known interpretations of classical logic into intuitionistic logic, in this way transferring ...
Edward Hermann Haeusler   +1 more
openaire   +2 more sources

The Monodic Fragment of Propositional Term Modal Logic

Studia Logica: An International Journal for Symbolic Logic, 2018
A. Padmanabha, Ramaswamy Ramanujam
semanticscholar   +1 more source

PDL Is the Bisimulation-Invariant Fragment of Weak Chain Logic

2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science, 2015
Facundo Carreiro
semanticscholar   +1 more source

Algebraic Characterizations for Universal Fragments of Logic

Mathematical Logic Quarterly, 1999
AbstractIn this paper we address our efforts to extend the well‐known connection in equational logic between equational theories and fully invariant congruences to other–possibly infinitary–logics. In the special case of algebras, this problem has been formerly treated by H. J. Hoehnke [10] and R. W. Quackenbush [14].
openaire   +3 more sources

The light side of interval temporal logic: the Bernays-Schönfinkel fragment of CDT

2011 Eighteenth International Symposium on Temporal Representation and Reasoning, 2014
D. Bresolin   +3 more
semanticscholar   +1 more source

Optimal control of non-deterministic systems for a computationally efficient fragment of temporal logic

IEEE Conference on Decision and Control, 2013
Eric M. Wolff, U. Topcu, R. Murray
semanticscholar   +1 more source

Superposition Decides the First-Order Logic Fragment Over Ground Theories

Mathematics and Computer Science, 2012
E. Kruglov, Christoph Weidenbach
semanticscholar   +1 more source

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