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Fix typos in Abstract Logics
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content/model-theory/lindstrom/abstract-logics.tex

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@@ -81,8 +81,8 @@
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and $!E \in L(\Lang{L})$ there is a $!F \in L(\Lang{L})$ such
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that
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\[
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\Mod[L'](L){!F} = \Setabs{\Struct{M}}{\Expan{M}{a}} \in
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\Mod[L](L){!E} \text{ for some } a \in \Domain{M} \},
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\Mod[L'](L){!F} = \Setabs{\Struct{M}}{\Expan{M}{a} \in
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\Mod[L](L){!E} \text{ for some } a \in \Domain{M}},
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\]
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where $\Lang{L'} = \Lang{L} \setminus \{c\}$ and $\Expan{M}{a}$
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is the expansion of $\Struct{M}$ to $\Lang{L}$ assigning $a$
@@ -93,7 +93,7 @@
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called the \emph{relativization} of $!E$ to $\Atom{R}{x, c_1, \dots c_n}$,
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such that for each !!{structure}~$\Struct{M}$:
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\[
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\Expan{M}{X, b_1, \ldots, b_n} \models_L !F) \text{ if and
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\Expan{M}{X, b_1, \ldots, b_n} \models_L !F \text{ if and
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only if } \Struct{N} \models_L !E,
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\]
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where $\Struct{N}$ is the substructure of $\Struct{M}$ with !!{domain}

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