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TEST.k
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require "domains.k"
require "verification-lemmas.k"
// verification lemmas
// Not Allowed: <state> "AB" |-> mi(64, I:Int):MInt
module TEST-SYNTAX
imports DOMAINS-SYNTAX
syntax Task ::= "task"
syntax Tasks ::= List{Task, ""} [klabel(tasklist)]
endmodule
module TEST
imports TEST-SYNTAX
imports VERIFICATION-LEMMAS
imports DOMAINS
imports MINT
configuration
<T>
<k>$PGM:Tasks</k>
<state>
"AB" |-> mi(64, 10):MInt
"CD" |-> mi(64, 1)
"YMM" |-> mi(256, 10):MInt
"F" |-> mi(1, 0)
"CF" |-> mi(1, 0)
/*
"CD2" |-> mi(64, 1)
"EF" |-> mi(64, 2)
"GH" |-> ?B:Bool
"BW1" |-> ?I:Int
"BW2" |-> ?I:Int
"BW3" |-> ?I:Int
"BW4" |-> ?I:Int
"BW5" |-> ?I:Int
"BW6" |-> ?I:Int
"BW7" |-> ?I:Int
"BW8" |-> ?MI:MInt
"BW9" |-> ?I:Int
"BW10" |-> ?I:Int
"BW11" |-> ?I:Int
"BW12" |-> ?MI1:MInt
"BW13" |-> ?MI1:MInt
"BW14" |-> 0:Int
"BW15" |-> mi(64, 0):MInt
"BW16" |-> mi(64, 0):MInt
"BW17" |-> mi(64, 0):MInt
*/
"BW18" |-> mi(64, 0):MInt
</state>
</T>
rule T:Task Ts:Tasks => T ~> Ts
rule extractMInt(
addMInt(
concatenateMInt(mi(1, 0), mi(64, I1):MInt),
concatenateMInt(mi(1, 0), mi(64, I2):MInt)), 1:Int, 65:Int)
=> addMInt(mi(64, I1), mi(64, I2))
rule <k> task => .
...</k>
<state> ...
//"AB" |-> (MI1 => addMInt(MI1, #parseToken("MInt@MINT","64'0"):>MInt))
"AB" |-> (
MI1 =>
extractMInt(
addMInt(
concatenateMInt(mi(1, 0), MI1:MInt),
concatenateMInt(mi(1, 0), MI2:MInt)
), 1, 65)
)
"CD" |-> (MI2)
/*
"YMM" |-> (MI256 => MI256)
"CF" |-> (MICF => MICF)
"CD2" |-> (MI3 => xorMInt(addMInt(MI1, MI1), addMInt(MI1, MI1)))
"EF" |-> (MI4 => subMInt(MI1, MI1))
"GH" |-> (_ => ultMInt(addMInt(MI1, MI1), mi(64, 0)))
// bitwidthMInt
"BW1" |-> (_ => bitwidthMInt(MI1) )
"BW2" |-> (_ => bitwidthMInt(mi(8, 5)) )
"BW3" |-> (_ => bitwidthMInt(addMInt(MI1, MI1)) )
"BW4" |-> (_ => bitwidthMInt(addMInt(mi(64, 43), MI1)) )
"BW5" |-> (_ => bitwidthMInt(addMInt(MI1, mi(64, 43))) )
"BW6" |-> (_ => bitwidthMInt(addMInt(MI1, MI1)) )
"BW7" |-> (_ => bitwidthMInt(addMInt(mi(8, 255), extractMInt(MI1, 56, 64))))
"BW8" |-> (_ => #ifMInt (eqMInt(mi(bitwidthMInt(addMInt(mi(8, 255), extractMInt(MI1, 56, 64))), 1), lshrMInt(addMInt(mi(8, 255), extractMInt(MI1, 56, 64)), ( bitwidthMInt(addMInt(mi(8, 255), extractMInt(MI1, 56, 64))) -Int 1 ) )) ) #then ( mi(1, 1) ) #else ( mi(1, 0) ) #fi )
"BW9" |-> (_ => bitwidthMInt(addMInt(extractMInt(MI1, 56, 64), mi(8, 255))))
"BW10" |-> (_ => bitwidthMInt(addMInt(extractMInt(MI1, 0, 64), MI1)))
"BW11" |-> (_ => bitwidthMInt(addMInt(MI1, extractMInt(MI1, 0, 64))))
"BW12" |-> ( _ => (#ifMInt (eqMInt(mi(bitwidthMInt(extractMask(MI1, 16, 0)), 2), addMInt(xorMInt(lshrMInt(extractMask(MI1, 16, 0), ( bitwidthMInt(extractMask(MI1, 16, 0)) -Int 1 ) ), lshrMInt(addMInt(addMInt(extractMask(MI1, 16, 0), extractMask(MI1, 16, 0)), zeroExtend(MI1, 16)), ( bitwidthMInt(extractMask(MI1, 16, 0)) -Int 1 ) )), xorMInt(lshrMInt(extractMask(MI1, 16, 0), ( bitwidthMInt(extractMask(MI1, 16, 0)) -Int 1 ) ), lshrMInt(addMInt(addMInt(extractMask(MI1, 16, 0), extractMask(MI1, 16, 0)), zeroExtend(MI1, 16)), ( bitwidthMInt(extractMask(MI1, 16, 0)) -Int 1 ) )))) ) #then ( mi(1, 1) ) #else ( mi(1, 0) ) #fi) )
"BW13" |-> ( _ => mi(bitwidthMInt(xorMInt(MI1, orMInt(MI1, MI1))), 0) )
"BW14" |-> ( _ => bitwidthMInt((#ifMInt (eqMInt(andMInt(extractMask(MI1, 8, 0), mi(bitwidthMInt(extractMask(MI1, 8, 0)), 63)), mi(bitwidthMInt(andMInt(extractMask(MI1, 8, 0), mi(bitwidthMInt(extractMask(MI1, 8, 0)), 63))), 0)) ) #then ( (#ifMInt (eqMInt(MI1, mi(64, 1)) ) #then ( mi(8, -128) ) #else ( mi(8, 0) ) #fi) ) #else ( (#ifMInt (ultMInt(andMInt(extractMask(MI1, 8, 0), mi(bitwidthMInt(extractMask(MI1, 8, 0)), 63)), mi(bitwidthMInt(andMInt(extractMask(MI1, 8, 0), mi(bitwidthMInt(extractMask(MI1, 8, 0)), 63))), bitwidthMInt(MI1))) ) #then ( shlMInt(MI1, uvalueMInt(andMInt(extractMask(MI1, 8, 0), mi(bitwidthMInt(extractMask(MI1, 8, 0)), 63)))) ) #else ( mi(bitwidthMInt(MI1), 0) ) #fi) ) #fi):>MInt ))
"BW15" |-> ( MI15 => concatenateMInt(extractMInt(mi(64, uvalueMInt(extractMInt(MI1, 0, 32))), 32, 64), extractMInt(mi(64, uvalueMInt(extractMInt(MI1, 32, 64))), 32, 64)) )
"BW16" |-> ( MI15 => concatenateMInt(
extractMInt(
concatenateMInt(mi(32, 0), extractMInt(MI1, 0, 32))
, 32, 64),
extractMInt(
concatenateMInt(mi(32, 0), extractMInt(MI1, 32, 64))
, 32, 64)
) )
"BW17" |-> ( _ => extractMInt(concatenateMInt(mi(128, 0), extractMInt(MI256, 128, 256)), 64, 128))
"F" |-> (
_ =>(extractMInt(addMInt(concatenateMInt(mi(1, 0), extractMInt(addMInt(concatenateMInt(mi(15, 0), MICF), mi(16, 65535)), 8, 16)), concatenateMInt(mi(1, 0), extractMInt(addMInt(concatenateMInt(mi(15, 0), MICF), mi(16, 65535)), 8, 16))), 0, 1) )
)
"BW18" |-> (_ => extractMInt(shlMInt(MI1, uvalueMInt(addMInt(andMInt(extractMInt(MI1, 56, 64), mi(8, 63)), mi(8, -1)) )), 0, 1))
*/
... </state>
endmodule