Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mechanisation of Model-theoretic Conservative Extension for HOL with
  Ad-hoc Overloading   Definitions of new symbols merely abbreviate expressions in logical
frameworks, and no new facts (regarding previously defined symbols) should hold
because of a new definition. In Isabelle/HOL, definable symbols are types and
constants. The latter may be ad-hoc overloaded, i.e. have different definitions
for non-overlapping types. We prove that symbols that are independent of a new
definition may keep their interpretation in a model extension. This work
revises our earlier notion of model-theoretic conservative extension and
generalises an earlier model construction. We obtain consistency of theories of
definitions in higher-order logic (HOL) with ad-hoc overloading as a corollary.
Our results are mechanised in the HOL4 theorem prover.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio