Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Injecting Finiteness to Prove Completeness for Finite Linear Temporal
  Logic   Temporal logics over finite traces are not the same as temporal logics over
potentially infinite traces. Ro\c{s}u first proved completeness for linear
temporal logic on finite traces (LTLf) with a novel coinductive axiom. We offer
a different proof, with fewer, more conventional axioms. Our proof is a direct
adaptation of Kr\"{o}ger and Merz's Henkin-Hasenjaeger-style proof. The essence
of our adaption is that we "inject" finiteness: that is, we alter the proof
structure to ensure that models are finite. We aim to present a thorough,
accessible proof.

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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: econ