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/****************************************************************************** |
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* Top contributors (to current version): |
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* Andrew Reynolds, Mathias Preiner, Tim King |
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* |
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* This file is part of the cvc5 project. |
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* |
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* Copyright (c) 2009-2021 by the authors listed in the file AUTHORS |
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* in the top-level source directory and their institutional affiliations. |
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* All rights reserved. See the file COPYING in the top-level source |
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* directory for licensing information. |
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* **************************************************************************** |
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* |
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* Sygus invariance tests. |
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*/ |
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#include "cvc5_private.h" |
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#ifndef CVC5__THEORY__QUANTIFIERS__SYGUS_INVARIANCE_H |
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#define CVC5__THEORY__QUANTIFIERS__SYGUS_INVARIANCE_H |
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#include <unordered_map> |
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#include <vector> |
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#include "expr/node.h" |
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namespace cvc5 { |
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namespace theory { |
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namespace quantifiers { |
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class TermDbSygus; |
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class SynthConjecture; |
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/* SygusInvarianceTest |
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* |
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* This class is the standard interface for term generalization |
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* in SyGuS. Its interface is a single function is_variant, |
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* which is a virtual condition for SyGuS terms. |
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* |
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* The common use case of invariance tests is when constructing |
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* minimal explanations for refinement lemmas in the |
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* counterexample-guided inductive synthesis (CEGIS) loop. |
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* See sygus_explain.h for more details. |
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*/ |
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class SygusInvarianceTest |
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{ |
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public: |
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virtual ~SygusInvarianceTest() {} |
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/** Is nvn invariant with respect to this test ? |
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* |
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* - nvn is the term to check whether it is invariant. |
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* - x is a variable such that the previous call to |
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* is_invariant (if any) was with term nvn_prev, and |
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* nvn is equal to nvn_prev with some subterm |
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* position replaced by x. This is typically used |
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* for debugging only. |
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*/ |
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bool is_invariant(TermDbSygus* tds, Node nvn, Node x) |
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{ |
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if (invariant(tds, nvn, x)) |
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{ |
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d_update_nvn = nvn; |
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return true; |
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} |
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return false; |
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} |
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/** get updated term */ |
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Node getUpdatedTerm() { return d_update_nvn; } |
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/** set updated term */ |
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void setUpdatedTerm(Node n) { d_update_nvn = n; } |
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protected: |
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/** result of the node that satisfies this invariant */ |
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Node d_update_nvn; |
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/** check whether nvn[ x ] is invariant */ |
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virtual bool invariant(TermDbSygus* tds, Node nvn, Node x) = 0; |
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}; |
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/** EquivSygusInvarianceTest |
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* |
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* This class tests whether a term evaluates via evaluation |
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* operators in the deep embedding (Section 4 of Reynolds |
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* et al. CAV 2015) to fixed term d_result. |
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* |
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* For example, consider a SyGuS evaluation function eval |
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* for a synthesis conjecture with arguments x and y. |
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* Notice that the term t = (mult x y) is such that: |
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* eval( t, 0, 1 ) ----> 0 |
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* This test is invariant on the content of the second |
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* argument of t, noting that: |
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* eval( (mult x _), 0, 1 ) ----> 0 |
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* as well, via a call to EvalSygusInvarianceTest::invariant. |
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* |
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* Another example, t = ite( gt( x, y ), x, y ) is such that: |
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* eval( t, 2, 3 ) ----> 3 |
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* This test is invariant on the second child of t, noting: |
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* eval( ite( gt( x, y ), _, y ), 2, 3 ) ----> 3 |
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*/ |
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class EvalSygusInvarianceTest : public SygusInvarianceTest |
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{ |
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public: |
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EvalSygusInvarianceTest() |
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: d_kind(kind::UNDEFINED_KIND), d_is_conjunctive(false) |
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{ |
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} |
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/** initialize this invariance test |
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* |
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* This sets d_terms/d_var/d_result, where we are checking whether: |
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* <d_kind>(d_terms) { d_var -> n } ----> d_result. |
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* for terms n. |
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*/ |
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void init(Node conj, Node var, Node res); |
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/** do evaluate with unfolding, using the cache of this class */ |
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Node doEvaluateWithUnfolding(TermDbSygus* tds, Node n); |
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protected: |
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/** does d_terms{ d_var -> nvn } still rewrite to d_result? */ |
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bool invariant(TermDbSygus* tds, Node nvn, Node x) override; |
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private: |
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/** the formulas we are evaluating */ |
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std::vector<Node> d_terms; |
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/** the variable */ |
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TNode d_var; |
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/** the result of the evaluation */ |
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Node d_result; |
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/** the parent kind we are checking, undefined if size(d_terms) is 1. */ |
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Kind d_kind; |
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/** whether we are conjunctive |
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* |
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* If this flag is true, then the evaluation tests: |
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* d_terms[1] {d_var -> n} = d_result ... d_term[k] {d_var -> n} = d_result |
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* should be processed conjunctively, that is, |
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* <d_kind>(d_terms) { d_var -> n } = d_result only if each of the above |
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* holds. If this flag is false, then these tests are interpreted |
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* disjunctively, i.e. if one child test succeeds, the overall test succeeds. |
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*/ |
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bool d_is_conjunctive; |
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/** cache of n -> the simplified form of eval( n ) */ |
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std::unordered_map<Node, Node> d_visited; |
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}; |
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/** EquivSygusInvarianceTest |
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* |
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* This class tests whether a builtin version of a |
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* sygus term is equivalent up to rewriting to a RHS value bvr. |
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* |
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* For example, |
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* |
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* ite( t>0, 0, 0 ) + s*0 ----> 0 |
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* |
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* This test is invariant on the condition t>0 and s, since: |
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* |
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* ite( _, 0, 0 ) + _*0 ----> 0 |
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* |
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* for any values of _. |
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* |
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* It also manages the case where the rewriting is invariant |
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* wrt a finite set of examples occurring in the conjecture. |
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* (EX1) : For example if our input examples are: |
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* (x,y,z) = (3,2,4), (5,2,6), (3,2,1) |
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* On these examples, we have: |
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* |
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* ite( x>y, z, 0) ---> 4,6,1 |
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* |
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* which is invariant on the second argument: |
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* |
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* ite( x>y, z, _) ---> 4,6,1 |
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* |
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* For details, see Reynolds et al SYNT 2017. |
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*/ |
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class EquivSygusInvarianceTest : public SygusInvarianceTest |
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{ |
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public: |
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EquivSygusInvarianceTest() : d_conj(nullptr) {} |
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/** initialize this invariance test |
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* tn is the sygus type for e |
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* aconj/e are used for conjecture-specific symmetry breaking |
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* bvr is the builtin version of the right hand side of the rewrite that we |
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* are checking for invariance |
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*/ |
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void init( |
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TermDbSygus* tds, TypeNode tn, SynthConjecture* aconj, Node e, Node bvr); |
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protected: |
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/** checks whether the analog of nvn still rewrites to d_bvr */ |
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bool invariant(TermDbSygus* tds, Node nvn, Node x) override; |
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private: |
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/** the conjecture associated with the enumerator d_enum */ |
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SynthConjecture* d_conj; |
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/** the enumerator associated with the term for which this test is for */ |
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Node d_enum; |
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/** the RHS of the evaluation */ |
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Node d_bvr; |
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/** the result of the examples |
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* In (EX1), this is (4,6,1) |
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*/ |
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std::vector<Node> d_exo; |
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}; |
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/** DivByZeroSygusInvarianceTest |
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* |
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* This class tests whether a sygus term involves |
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* division by zero. |
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* |
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* For example the test for: |
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* ( x + ( y/0 )*2 ) |
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* is invariant on the contents of _ below: |
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* ( _ + ( _/0 )*_ ) |
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*/ |
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class DivByZeroSygusInvarianceTest : public SygusInvarianceTest |
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{ |
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public: |
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DivByZeroSygusInvarianceTest() {} |
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protected: |
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/** checks whether nvn involves division by zero. */ |
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bool invariant(TermDbSygus* tds, Node nvn, Node x) override; |
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}; |
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/** NegContainsSygusInvarianceTest |
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* |
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* This class is used to construct a minimal shape of a term that cannot |
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* be contained in at least one output of an I/O pair. |
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* |
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* Say our PBE conjecture is: |
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* |
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* exists f. |
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* f( "abc" ) = "abc abc" ^ |
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* f( "de" ) = "de de" |
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* |
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* Then, this class is used when there is a candidate solution t[x1] |
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* such that either: |
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* contains( "abc abc", t["abc"] ) ---> false or |
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* contains( "de de", t["de"] ) ---> false |
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* |
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* It is used to determine whether certain generalizations of t[x1] |
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* are still sufficient to falsify one of the above containments. |
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* |
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* For example: |
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* |
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* The test for str.++( x1, "d" ) is invariant on its first argument |
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* ...since contains( "abc abc", str.++( _, "d" ) ) ---> false |
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* The test for str.replace( "de", x1, "b" ) is invariant on its third argument |
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* ...since contains( "abc abc", str.replace( "de", "abc", _ ) ) ---> false |
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*/ |
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class NegContainsSygusInvarianceTest : public SygusInvarianceTest |
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{ |
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public: |
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NegContainsSygusInvarianceTest() : d_isUniversal(false) {} |
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/** initialize this invariance test |
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* e is the enumerator which we are reasoning about (associated with a synth |
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* fun). |
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* ex is the list of inputs, |
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* exo is the list of outputs, |
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* ncind is the set of possible example indices to check invariance of |
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* non-containment. |
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* For example, in the above example, when t[x1] = "ab", then this |
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* has the index 1 since contains("de de", "ab") ---> false but not |
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* the index 0 since contains("abc abc","ab") ---> true. |
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*/ |
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void init(Node e, |
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std::vector<std::vector<Node> >& ex, |
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std::vector<Node>& exo, |
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std::vector<unsigned>& ncind); |
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/** set universal |
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* |
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* This updates the semantics of this check such that *all* instead of some |
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* examples must fail the containment test. |
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*/ |
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void setUniversal() { d_isUniversal = true; } |
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protected: |
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/** |
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* Checks if contains( out_i, nvn[in_i] ) --> false for some I/O pair i; if |
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* d_isUniversal is true, then we check if the rewrite holds for *all* I/O |
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* pairs. |
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*/ |
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bool invariant(TermDbSygus* tds, Node nvn, Node x) override; |
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private: |
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/** The enumerator whose value we are considering in this invariance test */ |
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Node d_enum; |
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/** The input examples */ |
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std::vector<std::vector<Node> > d_ex; |
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/** The output examples for the enumerator */ |
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std::vector<Node> d_exo; |
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/** The set of I/O pair indices i such that |
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* contains( out_i, nvn[in_i] ) ---> false |
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*/ |
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std::vector<unsigned> d_neg_con_indices; |
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/** requires not being in all examples */ |
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bool d_isUniversal; |
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}; |
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} // namespace quantifiers |
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} // namespace theory |
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} // namespace cvc5 |
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#endif /* CVC5__THEORY__QUANTIFIERS__SYGUS_INVARIANCE_H */ |