diff --git a/match.go b/match.go
index 950ef23..afeb7f6 100644
--- a/match.go
+++ b/match.go
@@ -63,11 +63,11 @@ func matchStatement(statement Statement, node ipld.Node) bool {
 			}
 			return isOrdered(s.Value(), one, lte)
 		}
-	case Kind_Negation:
+	case Kind_Not:
 		if s, ok := statement.(NegationStatement); ok {
 			return !matchStatement(s.Value(), node)
 		}
-	case Kind_Conjunction:
+	case Kind_And:
 		if s, ok := statement.(ConjunctionStatement); ok {
 			for _, cs := range s.Value() {
 				r := matchStatement(cs, node)
@@ -77,7 +77,7 @@ func matchStatement(statement Statement, node ipld.Node) bool {
 			}
 			return true
 		}
-	case Kind_Disjunction:
+	case Kind_Or:
 		if s, ok := statement.(DisjunctionStatement); ok {
 			if len(s.Value()) == 0 {
 				return true
@@ -90,9 +90,20 @@ func matchStatement(statement Statement, node ipld.Node) bool {
 			}
 			return false
 		}
-	case Kind_Wildcard:
-	case Kind_Universal:
-	case Kind_Existential:
+	case Kind_Like:
+		if s, ok := statement.(WildcardStatement); ok {
+			one, _, err := selector.Select(s.Selector(), node)
+			if err != nil || one == nil {
+				return false
+			}
+			v, err := one.AsString()
+			if err != nil {
+				return false
+			}
+			return s.Value().Match(v)
+		}
+	case Kind_All:
+	case Kind_Any:
 	}
 	panic(fmt.Errorf("unimplemented statement kind: %s", statement.Kind()))
 }
diff --git a/match_test.go b/match_test.go
index 183f1bf..59d9141 100644
--- a/match_test.go
+++ b/match_test.go
@@ -1,8 +1,10 @@
 package policy
 
 import (
+	"fmt"
 	"testing"
 
+	"github.com/gobwas/glob"
 	"github.com/ipfs/go-cid"
 	cidlink "github.com/ipld/go-ipld-prime/linking/cid"
 	"github.com/ipld/go-ipld-prime/node/basicnode"
@@ -284,4 +286,49 @@ func TestMatch(t *testing.T) {
 		ok = Match(pol, nd)
 		require.True(t, ok)
 	})
+
+	t.Run("wildcard", func(t *testing.T) {
+		glb, err := glob.Compile(`Alice\*, Bob*, Carol.`)
+		require.NoError(t, err)
+
+		for _, s := range []string{
+			"Alice*, Bob, Carol.",
+			"Alice*, Bob, Dan, Erin, Carol.",
+			"Alice*, Bob  , Carol.",
+			"Alice*, Bob*, Carol.",
+		} {
+			func(s string) {
+				t.Run(fmt.Sprintf("pass %s", s), func(t *testing.T) {
+					np := basicnode.Prototype.String
+					nb := np.NewBuilder()
+					nb.AssignString(s)
+					nd := nb.Build()
+
+					pol := Policy{Like(selector.MustParse("."), glb)}
+					ok := Match(pol, nd)
+					require.True(t, ok)
+				})
+			}(s)
+		}
+
+		for _, s := range []string{
+			"Alice*, Bob, Carol",
+			"Alice*, Bob*, Carol!",
+			"Alice, Bob, Carol.",
+			" Alice*, Bob, Carol. ",
+		} {
+			func(s string) {
+				t.Run(fmt.Sprintf("fail %s", s), func(t *testing.T) {
+					np := basicnode.Prototype.String
+					nb := np.NewBuilder()
+					nb.AssignString(s)
+					nd := nb.Build()
+
+					pol := Policy{Like(selector.MustParse("."), glb)}
+					ok := Match(pol, nd)
+					require.False(t, ok)
+				})
+			}(s)
+		}
+	})
 }
diff --git a/policy.go b/policy.go
index 26201fa..b03bf5a 100644
--- a/policy.go
+++ b/policy.go
@@ -3,6 +3,7 @@ package policy
 // https://github.com/ucan-wg/delegation/blob/4094d5878b58f5d35055a3b93fccda0b8329ebae/README.md#policy
 
 import (
+	"github.com/gobwas/glob"
 	"github.com/ipld/go-ipld-prime"
 	"github.com/storacha-network/go-ucanto/core/policy/selector"
 )
@@ -13,12 +14,12 @@ const (
 	Kind_GreaterThanOrEqual = ">="
 	Kind_LessThan           = "<"
 	Kind_LessThanOrEqual    = "<="
-	Kind_Negation           = "not"
-	Kind_Conjunction        = "and"
-	Kind_Disjunction        = "or"
-	Kind_Wildcard           = "like"
-	Kind_Universal          = "all"
-	Kind_Existential        = "any"
+	Kind_Not                = "not"
+	Kind_And                = "and"
+	Kind_Or                 = "or"
+	Kind_Like               = "like"
+	Kind_All                = "all"
+	Kind_Any                = "any"
 )
 
 type Policy = []Statement
@@ -42,7 +43,7 @@ type InequalityStatement interface {
 type WildcardStatement interface {
 	Statement
 	Selector() selector.Selector
-	Value() string
+	Value() glob.Glob
 }
 
 type ConnectiveStatement interface {
@@ -113,7 +114,7 @@ type negation struct {
 }
 
 func (n negation) Kind() string {
-	return Kind_Negation
+	return Kind_Not
 }
 
 func (n negation) Value() Statement {
@@ -129,7 +130,7 @@ type conjunction struct {
 }
 
 func (n conjunction) Kind() string {
-	return Kind_Conjunction
+	return Kind_And
 }
 
 func (n conjunction) Value() []Statement {
@@ -145,7 +146,7 @@ type disjunction struct {
 }
 
 func (n disjunction) Kind() string {
-	return Kind_Disjunction
+	return Kind_Or
 }
 
 func (n disjunction) Value() []Statement {
@@ -158,23 +159,23 @@ func Or(stmts ...Statement) DisjunctionStatement {
 
 type wildcard struct {
 	selector selector.Selector
-	pattern  string
+	glob     glob.Glob
 }
 
 func (n wildcard) Kind() string {
-	return Kind_Wildcard
+	return Kind_Like
 }
 
 func (n wildcard) Selector() selector.Selector {
 	return n.selector
 }
 
-func (n wildcard) Value() string {
-	return n.pattern
+func (n wildcard) Value() glob.Glob {
+	return n.glob
 }
 
-func Like(selector selector.Selector, pattern string) WildcardStatement {
-	return wildcard{selector, pattern}
+func Like(selector selector.Selector, glob glob.Glob) WildcardStatement {
+	return wildcard{selector, glob}
 }
 
 type quantifier struct {
@@ -196,9 +197,9 @@ func (n quantifier) Value() Policy {
 }
 
 func All(selector selector.Selector, policy Policy) QuantifierStatement {
-	return quantifier{Kind_Universal, selector, policy}
+	return quantifier{Kind_All, selector, policy}
 }
 
 func Any(selector selector.Selector, policy Policy) QuantifierStatement {
-	return quantifier{Kind_Existential, selector, policy}
+	return quantifier{Kind_Any, selector, policy}
 }