diff --git a/README.md b/README.md
index cbad1ee..438208e 100644
--- a/README.md
+++ b/README.md
@@ -12,7 +12,7 @@ It includes a novel Miniscript Satisfier for generating explicit script witnesse
 
   For example, Miniscript `and_v(v:pk(key),after(10))` can be satisfied with `[{ asm: '<sig(key)>', nLockTime: 10 }]`.
 
-- The ability to generate different satisfactions depending on the presence of `unknowns`.
+- The ability to generate different satisfactions depending on the presence of `unknowns` (or complimentary `knowns`).
 
   For example, Miniscript `c:and_v(or_c(pk(key1),v:ripemd160(H)),pk_k(key2))` can be satisfied with: `[{ asm: '<sig(key2)> <ripemd160_preimage(H)> 0' }]`.
 
@@ -99,7 +99,7 @@ const unknowns = ['<sig(key1)>', '<sig(key2)>'];
 
 const { nonMalleableSats, malleableSats, unknownSats } = satisfier(
   miniscript,
-  unknowns
+  { unknowns }
 );
 ```
 
@@ -113,6 +113,8 @@ nonMalleableSats: [
 unknownSats: [ {asm: "<sig(key2)> <key2> <sig(key1)> <key1> 1"} ]
 ```
 
+Instead of `unknowns`, the user has the option to provide the complementary argument `knowns`: `satisfier( miniscript, { knowns })`. This argument corresponds to the only pieces of information that are known. For instance, in the example above, `knowns` would be `['<sig(key3)>', '<sig(key4)>']`. It's important to note that either `knowns` or `unknowns` must be provided, but not both. If neither argument is provided, it's assumed that all signatures and preimages are known.
+
 The objects returned in the `nonMalleableSats`, `malleableSats` and `unknownSats` arrays consist of the following properties:
 
 - `asm`: a string with the script witness.
diff --git a/package.json b/package.json
index 333c42f..71c6700 100644
--- a/package.json
+++ b/package.json
@@ -11,7 +11,7 @@
     "descriptors"
   ],
   "homepage": "https://bitcoinerlab.com/modules/miniscript",
-  "version": "1.1.1",
+  "version": "1.2.0",
   "description": "Bitcoin Miniscript, a high-level language for describing Bitcoin spending conditions. It includes a Policy and Miniscript compiler, as well as a novel Satisfier for generating expressive witness scripts.",
   "main": "dist/index.js",
   "types": "types/index.d.ts",
diff --git a/src/satisfier/index.js b/src/satisfier/index.js
index ecb6787..521289a 100644
--- a/src/satisfier/index.js
+++ b/src/satisfier/index.js
@@ -292,6 +292,13 @@ const evaluate = miniscript => {
  * solutions. If the miniscript is sane, then unknowns can be set to produce
  * more possible solutions, including preimages, as described above.
  *
+ * @param {string[]} knowns - An array with the only pieces of information
+ * that can be used to build satisfactions. This is the complimentary to
+ * unknowns. Only `knowns` or `unknowns` must be passed.
+ *
+ * If neither knowns and unknowns is passed then it is assumed that there are
+ * no unknowns, in other words, that all pieces of information are known.
+ *
  * @returns {Object} an object with three keys:
  *   - `nonMalleableSats`: an array of {@link module:satisfier.Solution} objects
  *   representing the non-malleable sat() expressions.
@@ -301,13 +308,24 @@ const evaluate = miniscript => {
  *   representing the sat() expressions that contain some of the `unknown` pieces of information.
  * @see {@link module:satisfier.Solution}
  */
-export const satisfier = (miniscript, unknowns = []) => {
+export const satisfier = (miniscript, { unknowns, knowns } = {}) => {
   const { issane, issanesublevel } = compileMiniscript(miniscript);
 
   if (!issane) {
     throw new Error(`Miniscript ${miniscript} is not sane.`);
   }
 
+  if (typeof unknowns === 'undefined' && typeof knowns === 'undefined') {
+    unknowns = [];
+  } else if (typeof unknowns !== 'undefined' && typeof knowns !== 'undefined') {
+    throw new Error(`Cannot pass both knowns and unknowns`);
+  } else if (
+    (knowns && !Array.isArray(knowns)) ||
+    (unknowns && !Array.isArray(unknowns))
+  ) {
+    throw new Error(`Incorrect types for unknowns / knowns`);
+  }
+
   const knownSats = [];
   const unknownSats = [];
   const sats = evaluate(miniscript).sats || [];
@@ -316,10 +334,29 @@ export const satisfier = (miniscript, unknowns = []) => {
     if (typeof sat.nLockTime === 'undefined') delete sat.nLockTime;
     //Clean format: 1 consecutive spaces at most, no leading & trailing spaces
     sat.asm = sat.asm.replace(/  +/g, ' ').trim();
-    if (unknowns.some(unknown => sat.asm.includes(unknown))) {
-      unknownSats.push(sat);
+
+    if (unknowns) {
+      if (unknowns.some(unknown => sat.asm.includes(unknown))) {
+        unknownSats.push(sat);
+      } else {
+        knownSats.push(sat);
+      }
     } else {
-      knownSats.push(sat);
+      const delKnowns = knowns.reduce(
+        (acc, known) => acc.replace(known, ''),
+        sat.asm
+      );
+      if (
+        delKnowns.match(
+          /<sig\(|<sha256_preimage\(|<hash256_preimage\(|<ripemd160_preimage\(|<hash160_preimage\(/
+        )
+      ) {
+        //Even thought all known pieces of information are removed, there are
+        //still other pieces of info needed. Thus, this sat is unkown.
+        unknownSats.push(sat);
+      } else {
+        knownSats.push(sat);
+      }
     }
   });
 
diff --git a/test/fixtures.js b/test/fixtures.js
index 4eaafad..2ca0117 100644
--- a/test/fixtures.js
+++ b/test/fixtures.js
@@ -838,3 +838,61 @@ export const other = {
     malleableSats: []
   }
 };
+export const knowns = {
+  'with unknowns - and_v(v:pk(k),sha256(H))': {
+    miniscript: 'and_v(v:pk(k),sha256(H))',
+    script:
+      '<k> OP_CHECKSIGVERIFY OP_SIZE <20> OP_EQUALVERIFY OP_SHA256 <H> OP_EQUAL',
+    unknowns: ['<sha256_preimage(H)>'],
+    unknownSats: [{ asm: '<sha256_preimage(H)> <sig(k)>' }],
+    //If the preimage is unknown we cannot compute any satisfaction
+    nonMalleableSats: [],
+    malleableSats: []
+  },
+  'with knowns - and_v(v:pk(k),sha256(H))': {
+    miniscript: 'and_v(v:pk(k),sha256(H))',
+    script:
+      '<k> OP_CHECKSIGVERIFY OP_SIZE <20> OP_EQUALVERIFY OP_SHA256 <H> OP_EQUAL',
+    knowns: ['<sig(k)>'],
+    unknownSats: [{ asm: '<sha256_preimage(H)> <sig(k)>' }],
+    //If the preimage is unknown we cannot compute any satisfaction
+    nonMalleableSats: [],
+    malleableSats: []
+  },
+  'with all knowns - and_v(v:pk(k),sha256(H))': {
+    miniscript: 'and_v(v:pk(k),sha256(H))',
+    script:
+      '<k> OP_CHECKSIGVERIFY OP_SIZE <20> OP_EQUALVERIFY OP_SHA256 <H> OP_EQUAL',
+    knowns: ['<sig(k)>', '<sha256_preimage(H)>'],
+    unknownSats: [],
+    //If the preimage is unknown we cannot compute any satisfaction
+    nonMalleableSats: [{ asm: '<sha256_preimage(H)> <sig(k)>' }],
+    malleableSats: []
+  },
+  'throws with both knowns and unknowns - and_v(v:pk(k),sha256(H))': {
+    miniscript: 'and_v(v:pk(k),sha256(H))',
+    script:
+      '<k> OP_CHECKSIGVERIFY OP_SIZE <20> OP_EQUALVERIFY OP_SHA256 <H> OP_EQUAL',
+    knowns: ['<sig(k)>'],
+    unknowns: ['<sha256_preimage(H)>'],
+    throws: 'Cannot pass both knowns and unknowns'
+  },
+  'with unknows set - c:and_v(or_c(pk(key1),v:ripemd160(H)),pk_k(key2))': {
+    miniscript: 'c:and_v(or_c(pk(key1),v:ripemd160(H)),pk_k(key2))',
+    script:
+      '<key1> OP_CHECKSIG OP_NOTIF OP_SIZE <20> OP_EQUALVERIFY OP_RIPEMD160 <H> OP_EQUALVERIFY OP_ENDIF <key2> OP_CHECKSIG',
+    unknowns: ['<ripemd160_preimage(H)>'],
+    unknownSats: [{ asm: '<sig(key2)> <ripemd160_preimage(H)> 0' }],
+    nonMalleableSats: [{ asm: '<sig(key2)> <sig(key1)>' }],
+    malleableSats: []
+  },
+  'with knows set - c:and_v(or_c(pk(key1),v:ripemd160(H)),pk_k(key2))': {
+    miniscript: 'c:and_v(or_c(pk(key1),v:ripemd160(H)),pk_k(key2))',
+    script:
+      '<key1> OP_CHECKSIG OP_NOTIF OP_SIZE <20> OP_EQUALVERIFY OP_RIPEMD160 <H> OP_EQUALVERIFY OP_ENDIF <key2> OP_CHECKSIG',
+    knowns: ['<sig(key1)>', '<sig(key2)>'],
+    unknownSats: [{ asm: '<sig(key2)> <ripemd160_preimage(H)> 0' }],
+    nonMalleableSats: [{ asm: '<sig(key2)> <sig(key1)>' }],
+    malleableSats: []
+  }
+};
diff --git a/test/satisfier.test.js b/test/satisfier.test.js
index 025b340..a3906be 100644
--- a/test/satisfier.test.js
+++ b/test/satisfier.test.js
@@ -1,18 +1,22 @@
-import { primitives, timeLocks, other } from './fixtures.js';
+import { primitives, timeLocks, other, knowns } from './fixtures.js';
 import { satisfier } from '../src/satisfier/index.js';
 
 const createGroupTest = (description, fixtures) =>
   describe(description, () => {
     for (const [testName, fixture] of Object.entries(fixtures)) {
+      const options =
+        fixture.unknowns || fixture.knowns
+          ? { unknowns: fixture.unknowns, knowns: fixture.knowns }
+          : undefined;
       if (fixture.throws) {
         test(testName, () => {
-          expect(() => satisfier(fixture.miniscript, fixture.unknowns)).toThrow(
+          expect(() => satisfier(fixture.miniscript, options)).toThrow(
             fixture.throws
           );
         });
       } else {
         test(testName, () => {
-          const result = satisfier(fixture.miniscript, fixture.unknowns);
+          const result = satisfier(fixture.miniscript, options);
           expect(result.nonMalleableSats).toEqual(
             expect.arrayContaining(fixture.nonMalleableSats)
           );
@@ -21,10 +25,7 @@ const createGroupTest = (description, fixtures) =>
           );
 
           const malleableSats = fixture.malleableSats;
-          const unknownSats =
-            fixture.unknowns && fixture.unknowns.length
-              ? fixture.unknownSats
-              : [];
+          const unknownSats = fixture.unknownSats || [];
 
           expect(result.malleableSats).toEqual(
             expect.arrayContaining(malleableSats)
@@ -39,6 +40,7 @@ const createGroupTest = (description, fixtures) =>
     }
   });
 
-createGroupTest('Primitives', primitives);
 createGroupTest('Timelocks', timeLocks);
+createGroupTest('Primitives', primitives);
 createGroupTest('Other', other);
+createGroupTest('Knowns & unknowns combinations', knowns);
diff --git a/types/index.d.ts b/types/index.d.ts
index 9e9de6d..10309e5 100644
--- a/types/index.d.ts
+++ b/types/index.d.ts
@@ -13,7 +13,12 @@ export declare const compilePolicy: (miniscript: string) => {
 
 export declare const satisfier: (
   miniscript: string,
-  unknowns?: string[]
+  options:
+    | {
+        unknowns?: string[] | undefined;
+        knowns?: string[] | undefined;
+      }
+    | undefined
 ) => {
   unknownSats?: Array<{
     asm: string;