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Abstracting over groups of assertions in Z3/SMT-LIB


Label on SMT-LIB 2.0 assertions in z3Is it possible to quantify over SMT models?SMT-LIB BenchmarksHow to define enumerated types in SMT-LIB for Z3How to unify variables in SMT-LIBRepresenting temporal constraints in SMT-LIBIs the QF_NRA logic in SMT-LIB decidable?Z3/SMT-LIB Evaluating function and collecting resultsHandling overflow in SMT-LIB/Z3translating loop semantics to SMT-LIB






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Are there good mechanisms in Z3 to abstract over assertions? I want to create a “function” that takes in parameters and makes assertions about those parameters, possibly with “local variable” definitions in it.



Imagine that I have a String and I want to assert that it represents a decimal number between 13 and 24. I could write a combination of regular expression assertions about the string and combine it with a str.to.int range assertion. I can do that directly, but if I have dozens of such variables I want to make the assertion about, it gets repetitive. I can use an external language API, or perhaps define a macro/function returning a boolean inside Z3 and assert that it’s true, but that feels a bit indirect. What’s idiomatic here? I want it to be just as easy for Z3 to solve as writing the assertions out by hand










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    2















    Are there good mechanisms in Z3 to abstract over assertions? I want to create a “function” that takes in parameters and makes assertions about those parameters, possibly with “local variable” definitions in it.



    Imagine that I have a String and I want to assert that it represents a decimal number between 13 and 24. I could write a combination of regular expression assertions about the string and combine it with a str.to.int range assertion. I can do that directly, but if I have dozens of such variables I want to make the assertion about, it gets repetitive. I can use an external language API, or perhaps define a macro/function returning a boolean inside Z3 and assert that it’s true, but that feels a bit indirect. What’s idiomatic here? I want it to be just as easy for Z3 to solve as writing the assertions out by hand










    share|improve this question
























      2












      2








      2








      Are there good mechanisms in Z3 to abstract over assertions? I want to create a “function” that takes in parameters and makes assertions about those parameters, possibly with “local variable” definitions in it.



      Imagine that I have a String and I want to assert that it represents a decimal number between 13 and 24. I could write a combination of regular expression assertions about the string and combine it with a str.to.int range assertion. I can do that directly, but if I have dozens of such variables I want to make the assertion about, it gets repetitive. I can use an external language API, or perhaps define a macro/function returning a boolean inside Z3 and assert that it’s true, but that feels a bit indirect. What’s idiomatic here? I want it to be just as easy for Z3 to solve as writing the assertions out by hand










      share|improve this question














      Are there good mechanisms in Z3 to abstract over assertions? I want to create a “function” that takes in parameters and makes assertions about those parameters, possibly with “local variable” definitions in it.



      Imagine that I have a String and I want to assert that it represents a decimal number between 13 and 24. I could write a combination of regular expression assertions about the string and combine it with a str.to.int range assertion. I can do that directly, but if I have dozens of such variables I want to make the assertion about, it gets repetitive. I can use an external language API, or perhaps define a macro/function returning a boolean inside Z3 and assert that it’s true, but that feels a bit indirect. What’s idiomatic here? I want it to be just as easy for Z3 to solve as writing the assertions out by hand







      z3 smt






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      asked Mar 24 at 3:52









      copumpkincopumpkin

      2,2821321




      2,2821321






















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          You can use define-fun to define a Boolean function f such that you can (assert (f x y z ...)), where f can of course be a conjunction of multiple conditions. The define-fun will be inlined by Z3's SMT2 frontend, i.e., there should not be any runtime cost to it.



          (Z3 also supports macros defined via (forall ((x ...)) (= (f x ...) ...)), but you need to explicitly apply the model-finder tactic to inline them.)






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            You can use define-fun to define a Boolean function f such that you can (assert (f x y z ...)), where f can of course be a conjunction of multiple conditions. The define-fun will be inlined by Z3's SMT2 frontend, i.e., there should not be any runtime cost to it.



            (Z3 also supports macros defined via (forall ((x ...)) (= (f x ...) ...)), but you need to explicitly apply the model-finder tactic to inline them.)






            share|improve this answer



























              2














              You can use define-fun to define a Boolean function f such that you can (assert (f x y z ...)), where f can of course be a conjunction of multiple conditions. The define-fun will be inlined by Z3's SMT2 frontend, i.e., there should not be any runtime cost to it.



              (Z3 also supports macros defined via (forall ((x ...)) (= (f x ...) ...)), but you need to explicitly apply the model-finder tactic to inline them.)






              share|improve this answer

























                2












                2








                2







                You can use define-fun to define a Boolean function f such that you can (assert (f x y z ...)), where f can of course be a conjunction of multiple conditions. The define-fun will be inlined by Z3's SMT2 frontend, i.e., there should not be any runtime cost to it.



                (Z3 also supports macros defined via (forall ((x ...)) (= (f x ...) ...)), but you need to explicitly apply the model-finder tactic to inline them.)






                share|improve this answer













                You can use define-fun to define a Boolean function f such that you can (assert (f x y z ...)), where f can of course be a conjunction of multiple conditions. The define-fun will be inlined by Z3's SMT2 frontend, i.e., there should not be any runtime cost to it.



                (Z3 also supports macros defined via (forall ((x ...)) (= (f x ...) ...)), but you need to explicitly apply the model-finder tactic to inline them.)







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Mar 25 at 12:01









                Christoph WintersteigerChristoph Wintersteiger

                7,07911025




                7,07911025





























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