1 % (c) 2009-2016 Lehrstuhl fuer Softwaretechnik und Programmiersprachen,
2 % Heinrich Heine Universitaet Duesseldorf
3 % This software is licenced under EPL 1.0 (http://www.eclipse.org/org/documents/epl-v10.html)
4
5 :- module(ltl_prepositions,[check_ap/2, % testing atomic preposition in a state
6 check_atomic_property_formula/2,
7 check_transition/4, % testing whether a transition proposition can be executed from some state
8 check_enabled/2,
9 trans/3 % exported for use in ctl.pl
10 ]).
11
12 /* SICSTUS Libraries */
13 :- use_module(library(lists)).
14
15 /* ProB standard modules */
16 % B
17 :- use_module(probsrc(kernel_objects),[equal_object/2]).
18 :- use_module(probsrc(bsyntaxtree), [create_texpr/4, def_get_texpr_id/2]). % used for test cases
19 :- use_module(probsrc(bmachine),[b_get_machine_operation/4]).
20 :- use_module(probsrc(b_interpreter),[b_compute_expression/4,b_test_boolean_expression_wf/3]).
21 % state space modules
22 :- use_module(probsrc(state_space),[impl_trans_term/3,
23 visited_expression/2,
24 transition/3,
25 state_space_add/2,retract_visited_expression/2 % used for test cases
26 ]).
27 :- use_module(probsrc(store),[empty_state/1,lookup_value/3,add_var_to_localstate/4]).
28 :- use_module(probsrc(specfile),[animation_mode/1,state_corresponds_to_initialised_b_machine/2]).
29 % utility modules
30 :- use_module(probsrc(preferences),[preference/2]).
31 :- use_module(probsrc(error_manager)).
32 :- use_module(probsrc(self_check)).
33 % Promela
34 :- use_module(probpromela(promela_tools),[eval_promela/4]).
35 % other
36 :- use_module(probsrc(eclipse_interface),[test_boolean_expression_in_node/2]).
37 :- use_module(probsrc(plugins),[plugin_evaluate_transition_predicate/3]).
38
39 /* ProB LTL modules */
40 :- use_module(probltlsrc(ltl_tools)).
41 :- use_module(probltlsrc(ltl_translate),[pp_ltl_formula/2]).
42
43 :- use_module(probsrc(module_information),[module_info/2]).
44 :- module_info(group,ltl).
45 :- module_info(description,'This module provides predicates for evaluating atomic and transition prepositions.').
46
47 % check an atomic proposition in a given node (i.e. state)
48 check_ap(bpred(Property),Node) :-
49 !, test_boolean_expression_in_node(Node,Property).
50 check_ap(promela_pred(Predicate),Node) :-
51 visited_expression(Node,State),!,
52 eval_promela(Predicate,global,State,Result),!,
53 ( Result == 0 -> fail
54 ; number(Result) -> true
55 ; otherwise -> add_error(ltl,'Promela eval returned a non-boolean value: ',Result),fail).
56 check_ap(enabled(Op),Node) :- !,
57 check_enabled(Op,Node).
58 check_ap(det(OpList),Node) :- !,
59 check_if_maximum_one_enabled(OpList,Node).
60 check_ap(dlk(OpList),Node) :- !,
61 check_if_all_disabled(OpList,Node).
62 check_ap(ctrl(OpList),Node) :- !,
63 is_exactly_one_operation_enabled(OpList,Node).
64 ?check_ap(deadlock,Node) :- !, \+ trans(Node,_,_).
65 check_ap(sink,Node) :- !,
66 \+ ( trans(Node,Next,_),Next \= Node ).
67 check_ap(stateid(SpecNode),Node) :- !, SpecNode = Node.
68
69 check_if_maximum_one_enabled(OpList,Node) :-
70 check_if_maximum_one_enabled(OpList,0,Node).
71
72 check_if_maximum_one_enabled([],_NrEnabled,_Node).
73 check_if_maximum_one_enabled([Op|Ops],NrEnabled,Node) :-
74 (check_enabled(Op,Node) ->
75 NrEnabled == 0, NrEnabled1 = 1
76 ; NrEnabled1 = 0
77 ), check_if_maximum_one_enabled(Ops,NrEnabled1,Node).
78
79 is_exactly_one_operation_enabled(OpList,Node) :-
80 is_exactly_one_operation_enabled(OpList,0,Node).
81
82 is_exactly_one_operation_enabled([],NrEnabled,_Node) :-
83 NrEnabled=1.
84 is_exactly_one_operation_enabled([Op|Ops],NrEnabled,Node) :-
85 (check_enabled(Op,Node) ->
86 NrEnabled == 0, NrEnabled1 = 1
87 ; NrEnabled1 = NrEnabled
88 ), is_exactly_one_operation_enabled(Ops,NrEnabled1,Node).
89
90 check_if_all_disabled([],_Node).
91 check_if_all_disabled([Op|Ops],Node) :-
92 \+check_enabled(Op,Node),
93 check_if_all_disabled(Ops,Node).
94
95 check_enabled(Spec,SrcNode) :-
96 check_transition(Spec,Transition,SrcNode,DestNode),
97 ? trans(SrcNode,DestNode,Transition),!.
98
99 trans(A,B,Op) :-
100 ? ( (preference(use_por_for_ltl,true), animation_mode(b))
101 -> ltl: get_por_preferences(POROptions), % poor implementation (ltl predicates should not be called from here)
102 user: compute_ample_set2(A,POROptions),
103 transition(A,Op,B) % from state_space.pl
104 ? ; impl_trans_term(A,Op,B) /* will automatically compute as required */
105 ).
106
107
108 % a utility to check restricted atomic LTL properties on single nodes
109 check_atomic_property_formula(ap(ParsedFormula),NodeId) :- !,
110 check_ap(ParsedFormula,NodeId).
111 %check_atomic_property_formula(ap(ParsedFormula),NodeId) :- !,
112 check_atomic_property_formula(and(P1,P2),NodeId) :- !,
113 check_atomic_property_formula(P1,NodeId),
114 check_atomic_property_formula(P2,NodeId).
115 check_atomic_property_formula(or(P1,P2),NodeId) :- !,
116 (check_atomic_property_formula(P1,NodeId) ;
117 check_atomic_property_formula(P2,NodeId)).
118 check_atomic_property_formula(implies(P1,P2),NodeId) :- !,
119 (check_atomic_property_formula(P1,NodeId)
120 -> check_atomic_property_formula(P2,NodeId) ; true).
121 check_atomic_property_formula(not(P1),NodeId) :- !,
122 (check_atomic_property_formula(P1,NodeId) -> fail ; true).
123 check_atomic_property_formula(Formula,_) :- %print(Formula),nl,
124 pp_ltl_formula(Formula,Text),!,
125 add_error(check_atomic_property_formula,'LTL formula is not an atomic property: ',Text).
126 check_atomic_property_formula(Formula,N) :-
127 add_internal_error('LTL formula invalid: ',check_atomic_property_formula(Formula,N)),fail.
128
129 % check_transition(Spec,Transition,SrcNode,DstNode)
130 % Checks if a transition fulfils the specification, it fails if not.
131 % Please note, that this predicate is called _before_ the actual transition
132 % is known.
133 % Spec: specification that encodes how the transition should look like
134 % See below for the supported transitions
135 % Transition: The transition itself as it is stored in the second arg of state_space:transition/3
136 % SrcNode: The Id of the source state (first arg of transition/3)
137 % DstNode: The Id of the destination state (third arg of transition/3)
138
139 :- assert_must_succeed( check_transition(bop(dummyop,2,0,[],[]),dummyop(int(1),int(2)),tsrc,tdst) ).
140 :- assert_must_fail( check_transition(bop(dummyop,2,0,[],[]),otherop(int(1),int(2)),tsrc,tdst) ).
141 :- assert_must_fail( check_transition(bop(dummyop,2,0,[],[]),dummyop(int(1)),tsrc,tdst) ).
142 :- assert_must_succeed(call_cleanup(( empty_state(E),
143 state_space_add(tsrc,E),
144 create_texpr(integer(2),integer,[],I2),
145 check_transition(bop(dummyop,2,0,[2/I2],[]),
146 dummyop(int(1),int(2)),tsrc,tdst)),
147 retract_visited_expression(tsrc,_))).
148 :- assert_must_fail(call_cleanup(( empty_state(E),
149 state_space_add(tsrc,E),
150 create_texpr(integer(2),integer,[],I2),
151 check_transition(bop(dummyop,2,0,[1/I2],[]),
152 dummyop(int(1),int(2)),tsrc,tdst)),
153 retract_visited_expression(tsrc,_))).
154 :- assert_must_succeed( check_transition(bop(dummyop,1,1,[],[]),'-->'(dummyop(int(1)),[int(2)]),tsrc,tdst) ).
155 :- assert_must_fail( check_transition(bop(dummyop,1,1,[],[]),dummyop(int(1)),tsrc,tdst) ).
156 :- assert_must_succeed(call_cleanup(( empty_state(E),
157 state_space_add(tsrc,E),
158 create_texpr(integer(2),integer,[],I2),
159 check_transition(bop(dummyop,1,1,[],[1/I2]),
160 '-->'(dummyop(int(1)),[int(2)]),tsrc,tdst)),
161 retract_visited_expression(tsrc,_))).
162 :- assert_must_fail(call_cleanup(( empty_state(E),
163 state_space_add(tsrc,E),
164 create_texpr(integer(2),integer,[],I2),
165 check_transition(bop(dummyop,1,1,[],[1/I2]),
166 '-->'(dummyop(int(1)),[int(1)]),tsrc,tdst)),
167 retract_visited_expression(tsrc,_))).
168
169 % bop(Name,NumberArgs,NumberResults,ArgPatterns,ResPatterns):
170 % The transition is a B operation with name Name, NumberArgs parameters and NumberResults
171 % result values.
172 % ArgPatterns is a list of Terms of the form Index/Expr where Index is the
173 % number of the parameter that should have the value of the expression Expr.
174 % ResPatterns is a list analogous to ArgPatterns on the result
175 check_transition(bop(Name,NumberArgs,NumberResults,ArgPatterns,ResPatterns),
176 Transition,SrcNode,_DstNode) :-
177 !, functor(Op,Name,NumberArgs),
178 ( NumberResults == 0 -> Transition = Op
179 ; otherwise ->
180 Transition = '-->'(Op,ReturnValues),
181 length(ReturnValues,NumberResults),
182 check_bop_res_patterns(ResPatterns,SrcNode,State,ReturnValues)),
183 check_bop_arg_patterns(ArgPatterns,SrcNode,State,Op).
184 check_transition(btrans(TransPred),Transition,SrcNode,DstNode) :-
185 !, check_eventb_transition(TransPred,Transition,SrcNode,DstNode).
186 check_transition(csp(Channel,Arity,Args),Transition,_SrcNode,_DstNode) :-
187 !, check_csp_event(Channel,Arity,Args,Transition).
188 check_transition(xtl(Op,Arity,PatternArgs),Transition,_SrcNode,_DstNode) :-
189 !, check_xtl_transition(Op,Arity,PatternArgs,Transition).
190 check_transition(plugin_transition_check(Id,Predicate),Transition,_SrcNode,_DstNode) :-
191 !, plugin_evaluate_transition_predicate(Id,Predicate,Transition).
192 check_transition(Spec,_Trans,_SrcNode,_DstNode) :-
193 functor(Spec,Name,Arity), add_error(ltl, 'Unknown transition specification: ', Name/Arity), fail.
194
195 :- block check_xtl_transition(?,?,?,-).
196 check_xtl_transition(Op,Arity,PatternArgs,Transition) :-
197 ( Arity=0 ->
198 functor(Transition,Op,_) /* in this case: pattern match any operation with right number of args */
199 ; %functor(Transition,Op,Arity),
200 Transition =.. [Op|Args],
201 check_xtl_arguments(Args,PatternArgs)
202 ).
203
204 check_bop_arg_patterns([],_,_,_).
205 check_bop_arg_patterns([P|Prest],Node,State,Op) :-
206 check_bop_arg_patterns2([P|Prest],Node,State,Op).
207 :- block check_bop_arg_patterns2(?,?,?,-).
208 check_bop_arg_patterns2([],_,_,_).
209 check_bop_arg_patterns2([Index/Expr|Prest],Node,State,Op) :-
210 check_bop_arg_pattern(Index,Expr,Node,State,Op),
211 check_bop_arg_patterns2(Prest,Node,State,Op).
212 check_bop_arg_pattern(Index,Expr,Node,State,Op) :-
213 arg(Index,Op,OpValue), % exception if Index is expression like 1+1 <----
214 check_b_operation_value(OpValue,Expr,Node,State).
215
216 check_bop_res_patterns([],_,_,_).
217 check_bop_res_patterns([P|Prest],Node,State,OpResult) :-
218 check_bop_res_patterns2([P|Prest],Node,State,OpResult).
219 :- block check_bop_res_patterns2(?,?,?,-).
220 check_bop_res_patterns2([],_,_,_).
221 check_bop_res_patterns2([Index/Expr|Prest],Node,State,OpResult) :-
222 check_bop_res_pattern(Index,Expr,Node,State,OpResult),
223 check_bop_res_patterns2(Prest,Node,State,OpResult).
224 check_bop_res_pattern(Index,Expr,Node,State,OpResult) :-
225 nth1(Index,OpResult,OpValue),
226 check_b_operation_value(OpValue,Expr,Node,State).
227
228 check_b_operation_value(OpValue,Expr,Node,State) :-
229 ? ( var(State) ->
230 ? visited_expression(Node,RawState),
231 state_corresponds_to_initialised_b_machine(RawState,State)
232 ; otherwise -> true),
233 empty_state(LS),
234 b_compute_expression(Expr,LS,State,PatternValue),
235 equal_object(PatternValue,OpValue),!.
236
237
238 :- block check_eventb_transition(?,-,?,?).
239 check_eventb_transition(event(Name),Transition,_SrcNode,_DstNode) :- !,
240 functor(Transition,Name,_).
241 check_eventb_transition(event(Name,Predicate,PoststateAccess),Transition,SrcNode,DstNode) :- !,
242 functor(Transition,Name,_),
243 visited_expression(SrcNode,CurState),
244 state_corresponds_to_initialised_b_machine(CurState,CurBState),
245 parameter_values(Transition,LocalState1),
246 add_post_state_values(PoststateAccess,DstNode,LocalState1,LocalState),
247 b_test_boolean_expression_wf(Predicate,LocalState,CurBState).
248
249 add_post_state_values([],_DstNode,State,State) :- !.
250 add_post_state_values(Access,Node,InState,OutState) :-
251 visited_expression(Node,DstState1),
252 state_corresponds_to_initialised_b_machine(DstState1,DstState),
253 add_post_state_values2(Access,DstState,InState,OutState).
254 add_post_state_values2([],_DstState,State,State).
255 add_post_state_values2([poststate(Orig,Primed)|Prest],DstState,InState,OutState) :-
256 lookup_value(Orig,DstState,Value),
257 add_var_to_localstate(Primed,Value,InState,InterState),
258 add_post_state_values2(Prest,DstState,InterState,OutState).
259
260 parameter_values(Transition,LocalState) :-
261 Transition =.. [Name|Arguments],
262 b_get_machine_operation(Name,_,Parameters,_),
263 empty_state(Empty),
264 add_parameter_values2(Parameters,Arguments,Empty,LocalState).
265 add_parameter_values2([],[],State,State).
266 add_parameter_values2([TParameter|Prest],[Argument|Arest],InState,OutState) :-
267 def_get_texpr_id(TParameter,Parameter),
268 add_var_to_localstate(Parameter,Argument,InState,InterState),
269 add_parameter_values2(Prest,Arest,InterState,OutState).
270
271 /*
272 :- assert_must_succeed(( ltl:split_operation('ch.2.3','.',ch,A), A=[2,3] )).
273 :- assert_must_succeed(( ltl:split_operation('ch.2.3','.',ch,[2,3]) )).
274 :- assert_must_succeed(( ltl:split_operation('ch','.',ch,[]) )).
275 :- assert_must_succeed(( ltl:split_operation('ch.','.',ch,[A]), A='' )).
276 split_operation(OpAtom, Sep, OpName, OpArgs) :-
277 atom_codes(OpAtom,ListAscii), atom_codes(Sep,[SepACode]),
278 split_op(ListAscii,SepACode,HeadA, ArgsA),
279 atom_codes(Head,HeadA), OpName=Head,
280 l_name(Args,ArgsA), Args=OpArgs.
281 l_name([],[]).
282 l_name([H|T],[AH|AT]) :- name(H,AH), % using name to generate numbers if possible
283 l_name(T,AT).
284
285 split_op([],_,[],[]). % no separator found
286 split_op([H|T],Sep,OpName,Args) :-
287 (H=Sep -> Args=[FirstArg|OtherArgs],OpName=[],split_args(T,Sep,FirstArg,OtherArgs)
288 ; OpName = [H|CT], split_op(T,Sep,CT,Args)).
289
290 split_args([],_Sep,[],[]).
291 split_args([H|T],Sep,FirstArg,OtherArgs) :-
292 (H=Sep -> FirstArg=[], OtherArgs=[NextArg|TA],split_args(T,Sep,NextArg,TA)
293 ; FirstArg = [H|CT], split_args(T,Sep,CT,OtherArgs)).
294 */
295
296
297 check_xtl_arguments([],[]).
298 check_xtl_arguments([],[H|T]) :-
299 print('### Extra arguments in LTL/CTL pattern: '),print([H|T]),nl,fail.
300 check_xtl_arguments([H|T],[]) :- print(ltl_check_xtl_arguments_ignoring([H|T])),nl.
301 check_xtl_arguments([H|T],[PatH|PatT]) :-
302 check_xtl_arg(PatH,H,T,RemArgs),
303 check_xtl_arguments(RemArgs,PatT).
304
305 check_xtl_arg('_',_,TArgs,RemArgs) :- !,RemArgs=TArgs.
306 check_xtl_arg('?',_,TArgs,RemArgs) :- !,RemArgs=TArgs.
307 check_xtl_arg(X,Y,TArgs,RemArgs) :- atomic(Y),!,X=Y,RemArgs=TArgs.
308 check_xtl_arg(X,Y,TArgs,RemArgs) :- nonvar(Y),!,Y=..[Functor|YArgs], Functor=X,
309 append(YArgs,TArgs,RemArgs).
310 check_xtl_arg(X,Y,TArgs,RemArgs) :- var(Y),
311 print(variable_for_ltl_pattern(X)),nl,
312 X=Y,RemArgs=TArgs.