translate: extract obligations terms when translating LTL to Parity
* spot/twaalgos/translate.cc: Here. * NEWS: Mention the change. * tests/core/genltl.test: Add parity automata sizes for a set of formulas. * tests/core/parity2.test: Add another formula to the tests.
This commit is contained in:
Alexandre Duret-Lutz
parent
0690a547a5
commit
0a8c6479b7
4 changed files with 948 additions and 94 deletions
26
NEWS
26
NEWS
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@ -64,10 +64,11 @@ New in spot 2.5.3.dev (not yet released)
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These are now used by the main translation routine, and can be
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disabled by passing -x '!gf-guarantee' to ltl2tgba. For example,
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here are the size of deterministic transition-based Büchi automata
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constructed from four GF(guarantee) formulas with two versions of
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Spot, and converted to other types of deterministic automata by
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other tools. "x(y)" means x states and y acceptance sets.
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here are the size of deterministic transition-based generalized
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Büchi automata constructed from four GF(guarantee) formulas with
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two versions of Spot, and converted to other types of
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deterministic automata by other tools. "x(y)" means x states and
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y acceptance sets.
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ltl2tgba -D rabinizer 4
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2.5 2.6 delag ltl2dra
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@ -101,7 +102,7 @@ New in spot 2.5.3.dev (not yet released)
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sizes of deterministic automata produced with generic acceptance
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using two versions of ltl2tgba and delag for reference.
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ltl2tgba -GD rabinizer 4
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ltl2tgba -DG rabinizer 4
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2.5 2.6 delag
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------------- -----------
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FGa0&GFb0 2(2) 1(2) 1(2)
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@ -120,9 +121,22 @@ New in spot 2.5.3.dev (not yet released)
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FG(a|b)|FG(!a|Xb)|FG(a|XXb) 21(2) 4(3) 4(3)
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FG(a|b)|FG(!a|Xb)|FG(a|XXb)|FG(!a|XXXb) 170(2) 8(4) 8(4)
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- For 'parity' output, the 'ltl-split' optimization just separate
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obligation subformulas from the rest, where a determinization is
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still performed.
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ltl2tgba -DP ltl3dra rabinizer 4
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2.5 2.6 0.2.3 ltl2dpa
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-------------- ------- -----------
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FGp0 & (Gp1 | XFp2) 6(2) 4(1) 4(1) 4(2)
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G!p0 | F(p0 & (!p1 W p2)) 5(2) 4(2) n/a 5(2)
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(p0 W XXGp0) & GFp1 & FGp2 6(2) 5(2) n/a 6(3)
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(The above just show a few cases that were improved. There are
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many cases where ltl2dpa still produces smaller automata.)
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- The automaton postprocessor will now simplify acceptance
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conditions more aggressively, calling spot::simplify_acceptance()
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or spot::cleanup_acceptance() depanding on the optimization level.
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or spot::cleanup_acceptance() depending on the optimization level.
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- print_dot(), used to print automata in GraphViz's format,
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underwent several changes:
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@ -168,7 +168,8 @@ namespace spot
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twa_graph_ptr aut;
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twa_graph_ptr aut2 = nullptr;
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if (ltl_split_ && type_ == Generic && !r.is_syntactic_obligation())
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if (ltl_split_ && (type_ == Generic
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|| (type_ & Parity)) && !r.is_syntactic_obligation())
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{
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formula r2 = r;
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unsigned leading_x = 0;
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@ -177,28 +178,31 @@ namespace spot
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r2 = r2[0];
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++leading_x;
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}
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// F(q|u|f) = q|F(u)|F(f)
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// G(q&e&f) = q&G(e)&G(f)
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bool want_u = r2.is({op::F, op::Or});
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if (want_u || r2.is({op::G, op::And}))
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if (type_ == Generic)
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{
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std::vector<formula> susp;
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std::vector<formula> rest;
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auto op1 = r2.kind();
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auto op2 = r2[0].kind();
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for (formula child: r2[0])
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// F(q|u|f) = q|F(u)|F(f)
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// G(q&e&f) = q&G(e)&G(f)
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bool want_u = r2.is({op::F, op::Or});
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if (want_u || r2.is({op::G, op::And}))
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{
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bool u = child.is_universal();
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bool e = child.is_eventual();
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if (u && e)
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susp.push_back(child);
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else if ((want_u && u) || (!want_u && e))
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susp.push_back(formula::unop(op1, child));
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else
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rest.push_back(child);
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std::vector<formula> susp;
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std::vector<formula> rest;
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auto op1 = r2.kind();
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auto op2 = r2[0].kind();
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for (formula child: r2[0])
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{
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bool u = child.is_universal();
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bool e = child.is_eventual();
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if (u && e)
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susp.push_back(child);
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else if ((want_u && u) || (!want_u && e))
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susp.push_back(formula::unop(op1, child));
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else
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rest.push_back(child);
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}
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susp.push_back(formula::unop(op1, formula::multop(op2, rest)));
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r2 = formula::multop(op2, susp);
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}
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susp.push_back(formula::unop(op1, formula::multop(op2, rest)));
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r2 = formula::multop(op2, susp);
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}
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if (r2.is_syntactic_obligation() || !r2.is(op::And, op::Or))
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goto nosplit;
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@ -212,7 +216,8 @@ namespace spot
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{
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if (child.is_syntactic_obligation())
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oblg.push_back(child);
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else if (child.is_eventual() && child.is_universal())
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else if (child.is_eventual() && child.is_universal()
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&& (type_ == Generic))
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susp.push_back(child);
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else
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rest.push_back(child);
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@ -243,13 +248,24 @@ namespace spot
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if (!rest.empty())
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{
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formula rest_f = formula::multop(r2.kind(), rest);
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twa_graph_ptr rest_aut = transrun(rest_f);
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if (aut == nullptr)
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aut = rest_aut;
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else if (is_and)
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aut = product(aut, rest_aut);
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// In case type_ is Parity, all suspendable formulas have
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// been put into rest_f. But if the entire rest_f is
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// suspendable, we want to handle it like so.
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if (rest_f.is_eventual() && rest_f.is_universal())
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{
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assert(susp.empty());
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susp.push_back(rest_f);
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}
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else
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aut = product_or(aut, rest_aut);
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{
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twa_graph_ptr rest_aut = transrun(rest_f);
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if (aut == nullptr)
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aut = rest_aut;
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else if (is_and)
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aut = product(aut, rest_aut);
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else
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aut = product_or(aut, rest_aut);
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}
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}
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if (!susp.empty())
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{
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@ -156,60 +156,61 @@ test $(genltl --kr-n=4 | ltl2tgba --low --stats=%s) -ge 16
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genltl --ms-example=0..4 --ms-phi-r=0..2 --ms-phi-s=0..2 --ms-phi-h=0..4 \
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--gf-equiv=0..5 --gf-implies=0..5 --gf-equiv-xn=1..3 --gf-implies-xn=3 \
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--format='"%F=%L",%f' |
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ltl2tgba -G -D -F-/2 --stats='%<,%s' > out
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ltl2tgba -G -D -F-/2 --stats='%f,%<,%s' |
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ltl2tgba -P -D -F-/1 --stats='%>,%s' > out
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cat >exp<<EOF
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"ms-example=0,0",1
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"ms-example=0,1",2
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"ms-example=0,2",3
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"ms-example=0,3",4
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"ms-example=0,4",5
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"ms-example=1,0",1
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"ms-example=1,1",2
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"ms-example=1,2",3
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"ms-example=1,3",4
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"ms-example=1,4",5
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"ms-example=2,0",2
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"ms-example=2,1",3
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"ms-example=2,2",4
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"ms-example=2,3",5
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"ms-example=2,4",6
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"ms-example=3,0",4
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"ms-example=3,1",5
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"ms-example=3,2",6
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"ms-example=3,3",7
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"ms-example=3,4",8
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"ms-example=4,0",8
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"ms-example=4,1",9
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"ms-example=4,2",10
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"ms-example=4,3",11
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"ms-example=4,4",12
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"ms-phi-r=0",1
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"ms-phi-r=1",1
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"ms-phi-r=2",1
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"ms-phi-s=0",1
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"ms-phi-s=1",1
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"ms-phi-s=2",1
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"ms-phi-h=0",1
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"ms-phi-h=1",2
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"ms-phi-h=2",4
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"ms-phi-h=3",8
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"ms-phi-h=4",16
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"gf-equiv=0",1
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"gf-equiv=1",1
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"gf-equiv=2",1
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"gf-equiv=3",1
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"gf-equiv=4",1
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"gf-equiv=5",1
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"gf-implies=0",1
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"gf-implies=1",1
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"gf-implies=2",1
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"gf-implies=3",1
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"gf-implies=4",1
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"gf-implies=5",1
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"gf-equiv-xn=1",2
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"gf-equiv-xn=2",4
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"gf-equiv-xn=3",8
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"gf-implies-xn=3",1
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"ms-example=0,0",1,1
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"ms-example=0,1",2,2
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"ms-example=0,2",3,3
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"ms-example=0,3",4,4
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"ms-example=0,4",5,5
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"ms-example=1,0",1,1
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"ms-example=1,1",2,2
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"ms-example=1,2",3,3
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"ms-example=1,3",4,4
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"ms-example=1,4",5,5
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"ms-example=2,0",2,2
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"ms-example=2,1",3,3
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"ms-example=2,2",4,4
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"ms-example=2,3",5,5
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"ms-example=2,4",6,6
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"ms-example=3,0",4,4
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"ms-example=3,1",5,5
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"ms-example=3,2",6,6
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"ms-example=3,3",7,7
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"ms-example=3,4",8,8
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"ms-example=4,0",8,8
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"ms-example=4,1",9,9
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"ms-example=4,2",10,10
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"ms-example=4,3",11,11
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"ms-example=4,4",12,12
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"ms-phi-r=0",1,2
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"ms-phi-r=1",1,16
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"ms-phi-r=2",1,29
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"ms-phi-s=0",1,5
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"ms-phi-s=1",1,8
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"ms-phi-s=2",1,494
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"ms-phi-h=0",1,1
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"ms-phi-h=1",2,3
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"ms-phi-h=2",4,7
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"ms-phi-h=3",8,15
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"ms-phi-h=4",16,31
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"gf-equiv=0",1,1
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"gf-equiv=1",1,4
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"gf-equiv=2",1,8
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"gf-equiv=3",1,21
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"gf-equiv=4",1,81
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"gf-equiv=5",1,431
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"gf-implies=0",1,1
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"gf-implies=1",1,5
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"gf-implies=2",1,12
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"gf-implies=3",1,41
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"gf-implies=4",1,186
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"gf-implies=5",1,1047
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"gf-equiv-xn=1",2,2
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"gf-equiv-xn=2",4,4
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"gf-equiv-xn=3",8,8
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"gf-implies-xn=3",1,1
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EOF
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diff out exp
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@ -217,7 +218,8 @@ diff out exp
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genltl --ms-example=0..4 --ms-phi-r=0..2 --ms-phi-s=0..2 --ms-phi-h=0..4 \
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--gf-equiv=0..5 --gf-implies=0..5 --gf-equiv-xn=1..3 --gf-implies-xn=3 \
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--format='"%F=%L",%f' |
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ltldo -F-/2 'ltl2tgba -G -D' --stats='%<,%s' > out
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ltldo 'ltl2tgba -DG' -F-/2 --stats='%f,%<,%s' |
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ltldo 'ltl2tgba -DP' -F-/1 --stats='%>,%s' > out
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diff out exp
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# Test out-of-range conditions
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@ -21,13 +21,13 @@
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. ./defs
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set -e
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rm -rf res res2
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for x in P 'Pmin odd' 'Pmax even' p 'pmin odd' 'pmax even'; do
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ltl2tgba "-$x" FGa 'GFa & GFb' >>res
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ltl2tgba FGa 'GFa & GFb' | autfilt --name=%M --high "-$x" >>res2
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ltl2tgba -D "-$x" FGa 'GFa & GFb' >>res3
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ltl2tgba FGa 'GFa & GFb' | autfilt -D --name=%M --high "-$x" >>res4
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ltl2tgba "-$x" FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' >>res
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ltl2tgba FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' |
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autfilt --name=%M --high "-$x" >>res2
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ltl2tgba -D "-$x" FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' >>res3
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ltl2tgba FGa 'GFa & GFb' '(p0 W XXGp0) & GFp1 & FGp2' |
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autfilt -D --name=%M --high "-$x" >>res4
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done
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cat >expected<<EOF
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@ -64,6 +64,33 @@ State: 1
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[!0] 1
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--END--
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HOA: v1
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name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
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States: 5
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Start: 0
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AP: 3 "p0" "p1" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc
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--BODY--
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State: 0
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[0] 0
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[!0] 1
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[0&1&2] 2
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State: 1
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[t] 3
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[1&2] 4
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State: 2
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[!0] 1
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[0&!1&2] 2
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[0&1&2] 2 {0}
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State: 3
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[0] 3
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[0&1&2] 4
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State: 4
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[0&!1&2] 4
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[0&1&2] 4 {0}
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--END--
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HOA: v1
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name: "FGa"
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States: 1
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Start: 0
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@ -96,6 +123,33 @@ State: 1
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[!0] 1
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--END--
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HOA: v1
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name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
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States: 5
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Start: 0
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AP: 3 "p0" "p1" "p2"
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acc-name: Rabin 1
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Acceptance: 2 Fin(0) & Inf(1)
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properties: trans-labels explicit-labels trans-acc
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--BODY--
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State: 0
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[0] 0
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[!0] 1
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[0&1&2] 2
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State: 1
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[t] 3
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[1&2] 4
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State: 2
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[!0] 1
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[0&!1&2] 2
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[0&1&2] 2 {1}
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State: 3
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[0] 3
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[0&1&2] 4
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State: 4
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[0&!1&2] 4
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[0&1&2] 4 {1}
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--END--
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HOA: v1
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name: "FGa"
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States: 1
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Start: 0
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@ -128,6 +182,33 @@ State: 1
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[!0] 1
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--END--
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HOA: v1
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name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
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States: 5
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Start: 0
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AP: 3 "p0" "p1" "p2"
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acc-name: Buchi
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Acceptance: 1 Inf(0)
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properties: trans-labels explicit-labels trans-acc
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--BODY--
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State: 0
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[0] 0
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[!0] 1
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[0&1&2] 2
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State: 1
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[t] 3
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[1&2] 4
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State: 2
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[!0] 1
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[0&!1&2] 2
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[0&1&2] 2 {0}
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State: 3
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[0] 3
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[0&1&2] 4
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State: 4
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[0&!1&2] 4
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[0&1&2] 4 {0}
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--END--
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HOA: v1
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name: "FGa"
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States: 1
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Start: 0
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@ -160,6 +241,33 @@ State: 1
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[!0] 1 {0}
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--END--
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HOA: v1
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name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
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States: 5
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Start: 0
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AP: 3 "p0" "p1" "p2"
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acc-name: parity max even 3
|
||||
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {1}
|
||||
[!0] 1 {0}
|
||||
[0&1&2] 2 {0}
|
||||
State: 1
|
||||
[t] 3 {0}
|
||||
[1&2] 4 {0}
|
||||
State: 2
|
||||
[!0] 1 {0}
|
||||
[0&!1&2] 2 {1}
|
||||
[0&1&2] 2 {2}
|
||||
State: 3
|
||||
[0] 3 {1}
|
||||
[0&1&2] 4 {0}
|
||||
State: 4
|
||||
[0&!1&2] 4 {1}
|
||||
[0&1&2] 4 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -192,6 +300,33 @@ State: 1
|
|||
[!0] 1 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 4
|
||||
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {2}
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {3}
|
||||
State: 1
|
||||
[t] 3 {3}
|
||||
[1&2] 4 {3}
|
||||
State: 2
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {1}
|
||||
[0&!1&2] 2 {2}
|
||||
State: 3
|
||||
[0] 3 {2}
|
||||
[0&1&2] 4 {3}
|
||||
State: 4
|
||||
[0&1&2] 4 {1}
|
||||
[0&!1&2] 4 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -223,6 +358,33 @@ State: 1
|
|||
[0] 0 {2}
|
||||
[!0] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 3
|
||||
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {1}
|
||||
[!0] 1 {1}
|
||||
[0&1&2] 2 {1}
|
||||
State: 1
|
||||
[t] 3 {1}
|
||||
[1&2] 4 {1}
|
||||
State: 2
|
||||
[!0] 1 {1}
|
||||
[0&!1&2] 2 {1}
|
||||
[0&1&2] 2 {2}
|
||||
State: 3
|
||||
[0] 3 {1}
|
||||
[0&1&2] 4 {1}
|
||||
State: 4
|
||||
[0&!1&2] 4 {1}
|
||||
[0&1&2] 4 {2}
|
||||
--END--
|
||||
EOF
|
||||
|
||||
diff expected res
|
||||
|
|
@ -263,6 +425,35 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Buchi
|
||||
Acceptance: 1 Inf(0)
|
||||
properties: trans-labels explicit-labels trans-acc
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0
|
||||
[t] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[2] 4
|
||||
State: 2
|
||||
[1&2] 4
|
||||
[t] 5
|
||||
State: 3
|
||||
[2] 1
|
||||
[0&!1&2] 3
|
||||
[0&1&2] 3 {0}
|
||||
State: 4
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {0}
|
||||
State: 5
|
||||
[0&1&2] 4
|
||||
[0] 5
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -297,6 +488,35 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Rabin 1
|
||||
Acceptance: 2 Fin(0) & Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0
|
||||
[t] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[2] 4
|
||||
State: 2
|
||||
[1&2] 4
|
||||
[t] 5
|
||||
State: 3
|
||||
[2] 1
|
||||
[0&!1&2] 3
|
||||
[0&1&2] 3 {1}
|
||||
State: 4
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {1}
|
||||
State: 5
|
||||
[0&1&2] 4
|
||||
[0] 5
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -331,6 +551,35 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Buchi
|
||||
Acceptance: 1 Inf(0)
|
||||
properties: trans-labels explicit-labels trans-acc
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0
|
||||
[t] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[2] 4
|
||||
State: 2
|
||||
[1&2] 4
|
||||
[t] 5
|
||||
State: 3
|
||||
[2] 1
|
||||
[0&!1&2] 3
|
||||
[0&1&2] 3 {0}
|
||||
State: 4
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {0}
|
||||
State: 5
|
||||
[0&1&2] 4
|
||||
[0] 5
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -365,6 +614,35 @@ State: 1
|
|||
[!0] 1 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Streett 1
|
||||
Acceptance: 2 Fin(0) | Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {0}
|
||||
[t] 2 {0}
|
||||
[0&1&2] 3 {0}
|
||||
State: 1
|
||||
[2] 4 {0}
|
||||
State: 2
|
||||
[1&2] 4 {0}
|
||||
[t] 5 {0}
|
||||
State: 3
|
||||
[2] 1 {0}
|
||||
[0&!1&2] 3 {0}
|
||||
[0&1&2] 3 {1}
|
||||
State: 4
|
||||
[0&!1&2] 4 {0}
|
||||
[0&1&2] 4 {1}
|
||||
State: 5
|
||||
[0&1&2] 4 {0}
|
||||
[0] 5 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -399,6 +677,35 @@ State: 1
|
|||
[!0] 1 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 3
|
||||
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {2}
|
||||
[t] 2 {2}
|
||||
[0&1&2] 3 {2}
|
||||
State: 1
|
||||
[2] 4 {2}
|
||||
State: 2
|
||||
[1&2] 4 {2}
|
||||
[t] 5 {2}
|
||||
State: 3
|
||||
[2] 1 {2}
|
||||
[0&!1&2] 3 {2}
|
||||
[0&1&2] 3 {1}
|
||||
State: 4
|
||||
[0&!1&2] 4 {2}
|
||||
[0&1&2] 4 {1}
|
||||
State: 5
|
||||
[0&1&2] 4 {2}
|
||||
[0] 5 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -432,6 +739,35 @@ State: 1
|
|||
[0] 0 {2}
|
||||
[!0] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 6
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 3
|
||||
Acceptance: 3 Inf(2) | (Fin(1) & Inf(0))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
--BODY--
|
||||
State: 0
|
||||
[0] 0 {1}
|
||||
[t] 2 {1}
|
||||
[0&1&2] 3 {1}
|
||||
State: 1
|
||||
[2] 4 {1}
|
||||
State: 2
|
||||
[1&2] 4 {1}
|
||||
[t] 5 {1}
|
||||
State: 3
|
||||
[2] 1 {1}
|
||||
[0&!1&2] 3 {1}
|
||||
[0&1&2] 3 {2}
|
||||
State: 4
|
||||
[0&!1&2] 4 {1}
|
||||
[0&1&2] 4 {2}
|
||||
State: 5
|
||||
[0&1&2] 4 {1}
|
||||
[0] 5 {1}
|
||||
--END--
|
||||
EOF
|
||||
diff expected2 res2
|
||||
|
||||
|
|
@ -469,6 +805,35 @@ State: 1
|
|||
[0&1] 1 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Rabin 1
|
||||
Acceptance: 2 Fin(0) & Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0
|
||||
[!0] 1
|
||||
[0&1&2] 2 {1}
|
||||
State: 1
|
||||
[!1 | !2] 3
|
||||
[1&2] 4
|
||||
State: 2
|
||||
[0&!2] 0 {0}
|
||||
[!0] 1
|
||||
[0&!1&2] 2
|
||||
[0&1&2] 2 {1}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3
|
||||
[0&1&2] 4 {1}
|
||||
State: 4
|
||||
[0&!2] 3 {0}
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -501,6 +866,35 @@ State: 1
|
|||
[0&1] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Rabin 1
|
||||
Acceptance: 2 Fin(0) & Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0
|
||||
[!0] 1
|
||||
[0&1&2] 2 {1}
|
||||
State: 1
|
||||
[!1 | !2] 3
|
||||
[1&2] 4
|
||||
State: 2
|
||||
[0&!2] 0 {0}
|
||||
[!0] 1
|
||||
[0&!1&2] 2
|
||||
[0&1&2] 2 {1}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3
|
||||
[0&1&2] 4 {1}
|
||||
State: 4
|
||||
[0&!2] 3 {0}
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -533,6 +927,35 @@ State: 1
|
|||
[0&1] 1 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 2
|
||||
Acceptance: 2 Fin(1) & Inf(0)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0
|
||||
[!0] 1
|
||||
[0&1&2] 2 {0}
|
||||
State: 1
|
||||
[!1 | !2] 3
|
||||
[1&2] 4
|
||||
State: 2
|
||||
[0&!2] 0 {1}
|
||||
[!0] 1
|
||||
[0&!1&2] 2
|
||||
[0&1&2] 2 {0}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3
|
||||
[0&1&2] 4 {0}
|
||||
State: 4
|
||||
[0&!2] 3 {1}
|
||||
[0&!1&2] 4
|
||||
[0&1&2] 4 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -565,6 +988,36 @@ State: 1
|
|||
[0&1] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 4
|
||||
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0 {2}
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {1}
|
||||
State: 1
|
||||
[!1 | !2] 3 {3}
|
||||
[1&2] 4 {3}
|
||||
State: 2
|
||||
[0&!2] 0 {0}
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {1}
|
||||
[0&!1&2] 2 {2}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3 {2}
|
||||
[0&1&2] 4 {1}
|
||||
State: 4
|
||||
[0&!2] 3 {0}
|
||||
[0&1&2] 4 {1}
|
||||
[0&!1&2] 4 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -597,6 +1050,36 @@ State: 1
|
|||
[0&1] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 4
|
||||
Acceptance: 4 Fin(0) & (Inf(1) | (Fin(2) & Inf(3)))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0 {2}
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {1}
|
||||
State: 1
|
||||
[!1 | !2] 3 {3}
|
||||
[1&2] 4 {3}
|
||||
State: 2
|
||||
[0&!2] 0 {0}
|
||||
[!0] 1 {3}
|
||||
[0&1&2] 2 {1}
|
||||
[0&!1&2] 2 {2}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3 {2}
|
||||
[0&1&2] 4 {1}
|
||||
State: 4
|
||||
[0&!2] 3 {0}
|
||||
[0&1&2] 4 {1}
|
||||
[0&!1&2] 4 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 1
|
||||
Start: 0
|
||||
|
|
@ -628,6 +1111,36 @@ State: 1
|
|||
[!0] 1 {1}
|
||||
[0&1] 1 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 5
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 4
|
||||
Acceptance: 4 Fin(3) & (Inf(2) | (Fin(1) & Inf(0)))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[0&!1 | 0&!2] 0 {1}
|
||||
[!0] 1 {1}
|
||||
[0&1&2] 2 {2}
|
||||
State: 1
|
||||
[!1 | !2] 3 {1}
|
||||
[1&2] 4 {1}
|
||||
State: 2
|
||||
[0&!2] 0 {3}
|
||||
[!0] 1 {1}
|
||||
[0&!1&2] 2 {1}
|
||||
[0&1&2] 2 {2}
|
||||
State: 3
|
||||
[0&!1 | 0&!2] 3 {1}
|
||||
[0&1&2] 4 {2}
|
||||
State: 4
|
||||
[0&!2] 3 {3}
|
||||
[0&!1&2] 4 {1}
|
||||
[0&1&2] 4 {2}
|
||||
--END--
|
||||
EOF
|
||||
diff expected3 res3
|
||||
|
||||
|
|
@ -668,6 +1181,57 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Rabin 1
|
||||
Acceptance: 2 Fin(0) & Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[!1 | !2] 4
|
||||
[1&2] 5
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
[!0&1&2] 6
|
||||
State: 3
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {0}
|
||||
[!0&!1&2] 7
|
||||
[!0&1&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {1}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4
|
||||
[0&1&2] 5
|
||||
State: 5
|
||||
[0&!2] 4 {0}
|
||||
[0&!1&2] 5
|
||||
[0&1&2] 5 {1}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4
|
||||
[0&2 | 1&2] 5
|
||||
State: 7
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 8
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 9
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {0}
|
||||
[!0&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -703,6 +1267,57 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: Rabin 1
|
||||
Acceptance: 2 Fin(0) & Inf(1)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[!1 | !2] 4
|
||||
[1&2] 5
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
[!0&1&2] 6
|
||||
State: 3
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {0}
|
||||
[!0&!1&2] 7
|
||||
[!0&1&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {1}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4
|
||||
[0&1&2] 5
|
||||
State: 5
|
||||
[0&!2] 4 {0}
|
||||
[0&!1&2] 5
|
||||
[0&1&2] 5 {1}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4
|
||||
[0&2 | 1&2] 5
|
||||
State: 7
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 8
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 9
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {0}
|
||||
[!0&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -738,6 +1353,57 @@ State: 1
|
|||
[!0] 1
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 2
|
||||
Acceptance: 2 Fin(1) & Inf(0)
|
||||
properties: trans-labels explicit-labels trans-acc deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
State: 1
|
||||
[!1 | !2] 4
|
||||
[1&2] 5
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1
|
||||
[0&!1 | 0&!2] 2
|
||||
[0&1&2] 3
|
||||
[!0&1&2] 6
|
||||
State: 3
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {1}
|
||||
[!0&!1&2] 7
|
||||
[!0&1&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {0}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4
|
||||
[0&1&2] 5
|
||||
State: 5
|
||||
[0&!2] 4 {1}
|
||||
[0&!1&2] 5
|
||||
[0&1&2] 5 {0}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4
|
||||
[0&2 | 1&2] 5
|
||||
State: 7
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 8
|
||||
[!2] 4
|
||||
[2] 5
|
||||
State: 9
|
||||
[!0&!2] 1
|
||||
[0&!2] 2 {1}
|
||||
[!0&2] 8
|
||||
[0&!1&2] 9
|
||||
[0&1&2] 9 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -773,6 +1439,58 @@ State: 1
|
|||
[!0] 1 {0}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 3
|
||||
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1 {2}
|
||||
[0&!1 | 0&!2] 2 {2}
|
||||
[0&1&2] 3 {2}
|
||||
State: 1
|
||||
[!1 | !2] 4 {2}
|
||||
[1&2] 5 {2}
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1 {2}
|
||||
[0&!1 | 0&!2] 2 {2}
|
||||
[0&1&2] 3 {2}
|
||||
[!0&1&2] 6 {2}
|
||||
State: 3
|
||||
[!0&!2] 1 {2}
|
||||
[0&!2] 2 {0}
|
||||
[!0&!1&2] 7 {2}
|
||||
[!0&1&2] 8 {2}
|
||||
[0&!1&2] 9 {2}
|
||||
[0&1&2] 9 {1}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4 {2}
|
||||
[0&1&2] 5 {2}
|
||||
State: 5
|
||||
[0&!2] 4 {0}
|
||||
[0&!1&2] 5 {2}
|
||||
[0&1&2] 5 {1}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4 {2}
|
||||
[0&2 | 1&2] 5 {2}
|
||||
State: 7
|
||||
[!2] 4 {2}
|
||||
[2] 5 {2}
|
||||
State: 8
|
||||
[!2] 4 {2}
|
||||
[2] 5 {2}
|
||||
State: 9
|
||||
[!0&!2] 1 {2}
|
||||
[0&!2] 2 {0}
|
||||
[!0&2] 8 {2}
|
||||
[0&!1&2] 9 {2}
|
||||
[0&1&2] 9 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -808,6 +1526,58 @@ State: 1
|
|||
[!0] 1 {2}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity min odd 3
|
||||
Acceptance: 3 Fin(0) & (Inf(1) | Fin(2))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1 {2}
|
||||
[0&!1 | 0&!2] 2 {2}
|
||||
[0&1&2] 3 {2}
|
||||
State: 1
|
||||
[!1 | !2] 4 {2}
|
||||
[1&2] 5 {2}
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1 {2}
|
||||
[0&!1 | 0&!2] 2 {2}
|
||||
[0&1&2] 3 {2}
|
||||
[!0&1&2] 6 {2}
|
||||
State: 3
|
||||
[!0&!2] 1 {2}
|
||||
[0&!2] 2 {0}
|
||||
[!0&!1&2] 7 {2}
|
||||
[!0&1&2] 8 {2}
|
||||
[0&!1&2] 9 {2}
|
||||
[0&1&2] 9 {1}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4 {2}
|
||||
[0&1&2] 5 {2}
|
||||
State: 5
|
||||
[0&!2] 4 {0}
|
||||
[0&!1&2] 5 {2}
|
||||
[0&1&2] 5 {1}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4 {2}
|
||||
[0&2 | 1&2] 5 {2}
|
||||
State: 7
|
||||
[!2] 4 {2}
|
||||
[2] 5 {2}
|
||||
State: 8
|
||||
[!2] 4 {2}
|
||||
[2] 5 {2}
|
||||
State: 9
|
||||
[!0&!2] 1 {2}
|
||||
[0&!2] 2 {0}
|
||||
[!0&2] 8 {2}
|
||||
[0&!1&2] 9 {2}
|
||||
[0&1&2] 9 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "FGa"
|
||||
States: 2
|
||||
Start: 0
|
||||
|
|
@ -842,9 +1612,61 @@ State: 1
|
|||
[0] 0 {2}
|
||||
[!0] 1 {1}
|
||||
--END--
|
||||
HOA: v1
|
||||
name: "(p0 W XXGp0) & G(Fp1 & FGp2)"
|
||||
States: 10
|
||||
Start: 0
|
||||
AP: 3 "p0" "p1" "p2"
|
||||
acc-name: parity max even 4
|
||||
Acceptance: 4 Fin(3) & (Inf(2) | (Fin(1) & Inf(0)))
|
||||
properties: trans-labels explicit-labels trans-acc colored
|
||||
properties: deterministic
|
||||
--BODY--
|
||||
State: 0
|
||||
[!0] 1 {1}
|
||||
[0&!1 | 0&!2] 2 {1}
|
||||
[0&1&2] 3 {1}
|
||||
State: 1
|
||||
[!1 | !2] 4 {1}
|
||||
[1&2] 5 {1}
|
||||
State: 2
|
||||
[!0&!1 | !0&!2] 1 {1}
|
||||
[0&!1 | 0&!2] 2 {1}
|
||||
[0&1&2] 3 {1}
|
||||
[!0&1&2] 6 {1}
|
||||
State: 3
|
||||
[!0&!2] 1 {1}
|
||||
[0&!2] 2 {3}
|
||||
[!0&!1&2] 7 {1}
|
||||
[!0&1&2] 8 {1}
|
||||
[0&!1&2] 9 {1}
|
||||
[0&1&2] 9 {2}
|
||||
State: 4
|
||||
[0&!1 | 0&!2] 4 {1}
|
||||
[0&1&2] 5 {1}
|
||||
State: 5
|
||||
[0&!2] 4 {3}
|
||||
[0&!1&2] 5 {1}
|
||||
[0&1&2] 5 {2}
|
||||
State: 6
|
||||
[!0&!1 | !2] 4 {1}
|
||||
[0&2 | 1&2] 5 {1}
|
||||
State: 7
|
||||
[!2] 4 {1}
|
||||
[2] 5 {1}
|
||||
State: 8
|
||||
[!2] 4 {1}
|
||||
[2] 5 {1}
|
||||
State: 9
|
||||
[!0&!2] 1 {1}
|
||||
[0&!2] 2 {3}
|
||||
[!0&2] 8 {1}
|
||||
[0&!1&2] 9 {1}
|
||||
[0&1&2] 9 {2}
|
||||
--END--
|
||||
EOF
|
||||
diff expected4 res4
|
||||
|
||||
ltlcross 'ltl2tgba -P' 'ltl2tgba -P"odd max"' 'ltl2tgba -P"even min"' \
|
||||
'ltl2tgba -p' 'ltl2tgba -p"odd max"' 'ltl2tgba -p"even min"' \
|
||||
-f FGa -f 'GFa&GFb' -f 'GF(a <-> XXXb)'
|
||||
-f FGa -f 'GFa&GFb' -f 'GF(a <-> XXXb)' -f '(p0 W XXGp0) & GFp1 & FGp2'
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue