Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dialetheism, Game Theoretic Semantics, and Paraconsistent Team Semantics   We introduce a variant of Dependence Logic in which truth is defined not in
terms of existence of winning strategies for the Proponent (Eloise) in a
semantic game, but in terms of lack of winning strategies for the Opponent
(Abelard). We show that this language is a conservative but paraconsistent
extension of First Order Logic, that its validity problem can be reduced to
that of First Order Logic, that it capable of expressing its own truth and
validity predicates, and that it is expressively equivalent to Universal Second
Order Logic. Furthermore, we prove that a Paraconsistent Non-dependence Logic
formula is consistent if and only if it is equivalent to some First Order Logic
sentence; and we show that, on the other hand, all Paraconsistent Dependence
Logic sentences are equivalent to some First Order sentence with respect to
truth (but not necessarily with respect to falsity).

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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int