| author | wenzelm |
| Mon, 25 Mar 2019 17:21:26 +0100 | |
| changeset 69981 | 3dced198b9ec |
| parent 64927 | a5a09855e424 |
| permissions | -rw-r--r-- |
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(* Title: Tools/Argo/argo_solver.ML |
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Author: Sascha Boehme |
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The main interface to the Argo solver. |
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new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
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The solver performs satisfiability checking for a given set of assertions. If these assertions |
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are unsatisfiable, a proof trace is returned. If these assertions are satisfiable, the computed |
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model can be queried or further assertions may be added. |
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*) |
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signature ARGO_SOLVER = |
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new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
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sig |
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type context |
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val context: context |
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val assert: Argo_Expr.expr list -> context -> context (* raises Argo_Expr.TYPE, Argo_Expr.EXPR |
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and Argo_Proof.UNSAT *) |
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val model_of: context -> string * Argo_Expr.typ -> bool option |
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end |
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structure Argo_Solver: ARGO_SOLVER = |
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struct |
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(* context *) |
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type context = {
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next_axiom: int, |
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prf: Argo_Proof.context, |
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core: Argo_Core.context} |
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fun mk_context next_axiom prf core: context = {next_axiom=next_axiom, prf=prf, core=core}
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val context = mk_context 0 Argo_Proof.solver_context Argo_Core.context |
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(* rewriting and normalizing axioms *) |
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64927
a5a09855e424
less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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val simp_context = |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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Argo_Rewr.context |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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|> Argo_Rewr.nnf |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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|> Argo_Rewr.norm_prop |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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|> Argo_Rewr.norm_ite |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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|> Argo_Rewr.norm_eq |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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|> Argo_Rewr.norm_arith |
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less complex rewriting of Argo expressions: select candidate rewrite rules by analyzing only on the kind of the head expression, then select the applicable rewrite rule using ML pattern matching; keep all normalization code in a single place: modules of decision procedures focus on their core aspects; more normalization for non-linear arithmetic
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new proof method "argo" for a combination of quantifier-free propositional logic with equality and linear real arithmetic
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val simp_axiom = Argo_Rewr.with_proof (Argo_Rewr.rewrite simp_context) |
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(* asserting axioms *) |
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fun add_axiom e ({next_axiom, prf, core}: context) =
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let |
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val _ = Argo_Expr.check e |
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val (p, prf) = Argo_Proof.mk_axiom next_axiom prf |
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val (ep, prf) = simp_axiom (e, p) prf |
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val (prf, core) = Argo_Clausify.clausify simp_context ep (prf, core) |
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in mk_context (next_axiom + 1) prf core end |
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fun assert es cx = |
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let val {next_axiom, prf, core}: context = fold add_axiom es cx
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in mk_context next_axiom prf (Argo_Core.run core) end |
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(* models *) |
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fun model_of ({core, ...}: context) = Argo_Core.model_of core
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end |