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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
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<h1><a href="index.shtml">SMT-LIB <br/>
<small>The Satisfiability Modulo Theories Library</small></a>
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<h2>Core</h2>
<pre class="prettyprint lang-smtlib">
(theory Core
:smt-lib-version 2.7
:smt-lib-release "2024-07-21"
:written-by "Cesare Tinelli"
:date "2010-04-17"
:last-updated "2024-07-21"
:update-history
"Note: history only accounts for content changes, not release changes.
2024-07-21 Updated to Version 2.7.
2015-04-25 Updated to Version 2.5.
2010-08-15 Minor fix.
"
:sorts ((Bool 0))
:funs ((true Bool)
(false Bool)
(not Bool Bool)
(=> Bool Bool Bool :right-assoc)
(and Bool Bool Bool :left-assoc)
(or Bool Bool Bool :left-assoc)
(xor Bool Bool Bool :left-assoc)
(par (A) (= A A Bool :chainable))
(par (A) (distinct A A Bool :pairwise))
(par (A) (ite Bool A A A))
)
:definition
"For every expanded signature Sigma, the instance of Core with that signature
is the theory consisting of all Sigma-models in which:
- the sort Bool denotes the set {true, false} of Boolean values;
- for all sorts s in Sigma,
- (= s s Bool) denotes the function that
returns true iff its two arguments are identical;
- (distinct s s Bool) denotes the function that
returns true iff its two arguments are not identical;
- (ite Bool s s) denotes the function that
returns its second argument or its third depending on whether
its first argument is true or not;
- the other function symbols of Core denote the standard Boolean operators
as expected.
"
:values
"The set of values for the sort Bool is {true, false}."
)
</pre>
(<a href="Theories/Core.smt2">raw file</a>)
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