lsd0009

LSD0009: The GNU Taler Protocol
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commit d583c80f1297c34aae6e94165dfcf7244a93fc9c
parent a48df8856b92669652bfad5e3369394d86a18a27
Author: Mikolai Gütschow <mikolai.guetschow@tu-dresden.de>
Date:   Mon, 18 May 2026 13:13:25 +0200

protocol: make residual coin.value more explicit, drop CoinSelection

Diffstat:
Mdraft-guetschow-taler-protocol.md | 22+++++++++++-----------
Mdraft-guetschow-taler-protocol.xml | 1334+++++++++++++++++++++++++++++++++++++++----------------------------------------
Mtest-vectors/test-case-1.md | 18++++++------------
3 files changed, 680 insertions(+), 694 deletions(-)

diff --git a/draft-guetschow-taler-protocol.md b/draft-guetschow-taler-protocol.md @@ -549,6 +549,7 @@ There are a certain number of single-argument functions which are often needed, and therefore omit the parentheses of the typical function syntax: - `Knows data` specifies `data` that is known a priori at the start of the protocol operation +- `Determine data` specifies `data` that is determined according to the business logic and current state of the protocol entity - `Check cond` verifies that the boolean condition or variable `cond` is true, or aborts the protocol operation otherwise - `Persist data` persists the given `data` to the local database @@ -740,6 +741,7 @@ Persist withdrawal // todo: what exactly? should be checked first for replay? for i in 0..n: coinᵢ.sig = RSA-FDH-Unblind(blind_sigᵢ, blind_secretᵢ, denomᵢ.pub) Check RSA-FDH-Verify(SHA-512(coinᵢ.pub), coinᵢ.sig, denomᵢ.pub) + coinᵢ.value = denomᵢ.value coinᵢ.h_denom = h_denomᵢ coinᵢ.blind_secret = blind_secretᵢ // todo: why save blind_secret, if batch_seed already persisted? Persist ⟨coinᵢ⟩ @@ -756,7 +758,8 @@ Persist ⟨coinᵢ⟩ The wallet obtains `contract` information for an `order` from the merchant after claiming it with a `nonce`. Payment of the order is prepared by signing (partial) deposit authorizations `⟨depositᵢ⟩` with coins `⟨coinᵢ⟩` of certain denominations `⟨denomᵢ⟩`, -where the sum of all contributions (`contributionᵢ <= denomᵢ.value`) must match the `contract.price` plus potential deposit fees. +where the sum of all contributions (`contributionᵢ + denomᵢ.fee_deposit <= denomᵢ.value`) +must match the `contract.price` plus potential deposit fees `⟨denomᵢ.fee_deposit⟩`. The payment is complete as soon as the merchant successfully redeems the deposit authorizations at the exchange. Deposit could also be used directly by a wallet with its own payto and a minimal contract. @@ -829,7 +832,7 @@ where (without age restriction, policy and wallet data hash) (M1) order generation (merchant) wire_salt = random(128) -determine price, and ASCII strings id, info, token? +Determine price, and ASCII strings id, info, token? Persist order = (id, price, info, token?, wire_salt) ~~~ @@ -851,7 +854,7 @@ or proving the payment without resorting to the individual coins. Check order.token? == token? h_wire = HKDF(wire_salt, payto, "merchant-wire-signature", 64) timestamp = now() -determine refund_deadline, wire_deadline from timestamp +Determine refund_deadline, wire_deadline from timestamp contract = (order.{id,price,info,token?}, exchange, h_wire, timestamp, refund_deadline, wire_deadline) contract.nonce = nonce.pub Persist contract @@ -868,10 +871,9 @@ msg = Gen-Msg(MERCHANT_CONTRACT, h_contract) Check Ed25519-Verify(merchant.pub, msg, sig) Check contract.nonce == nonce // TODO: double-check extra hash check? -// todo: maybe get rid of CoinSelection altogether by claiming we already know coinᵢ and contributionᵢ -⟨selectionᵢ⟩ = CoinSelection(contract.{exchange,price}) TODO: include MarkDirty here for i in 0..n: - (coinᵢ, denomᵢ, contributionᵢ) = selectionᵢ + Determine coinᵢ, denomᵢ, contributionᵢ for contract.{exchange,price} + Check-Subtract(coinᵢ.value, contributionᵢ + denomᵢ.fee_deposit) msgᵢ = Gen-Msg(WALLET_COIN_DEPOSIT, ( h_contract | uint256(0x0) | uint512(0x0) | contract.h_wire | coinᵢ.h_denom @@ -883,8 +885,6 @@ for i in 0..n: Persist (contract, ⟨sigᵢ⟩, ⟨depositᵢ⟩) ~~~ -// TODO: explain CoinSelection - ~~~ pseudocode (M3) deposit preparation (merchant) @@ -1056,7 +1056,7 @@ for i in 0..n: Check Ed25519-Verify(merchant.pub, msgᵢ, sigᵢ) Check valueᵢ >= denomᵢ.fee_refund remove/update scheduled wire transfer - mark coin part as unspent + Persist coinᵢ.value += valueᵢ - denomᵢ.fee_refund msgᵢ = Gen-Msg(MERCHANT_REFUND_OK, SHA-512(order.id)) sigᵢ = Ed25519-Sign(exchange.priv, msgᵢ) ~~~ @@ -1100,12 +1100,12 @@ in exchange for one old `coin` of denomination `denom` from the exchange. There are three reasons why a wallet needs to do this: 1. Obtaining unlinkable change after using only a part of the coin's value during a payment (cf. {{payment}}), -i.e. where `contribution <= denom.value` +i.e., where `coin.value < denom.value` 2. Obtaining unlinkable change after a successful refund (cf. {{refund}}) 3. Renewing a coin before it deposit-expires The sum of the refresh fee of `denom` and the new denominations' values and withdrawal fees (defined by the exchange) -must be smaller or equal to the residual value of the old `coin`. +must be smaller or equal to the residual value of the old coin (`coin.value`). The private key of each new coin candidate `⟨coinₖᵢ.priv⟩` is transitively derived from the old coin's private key `coin.priv` via a 512-bit secret `⟨sharedₖᵢ⟩` according to `Refresh-Derive`. diff --git a/draft-guetschow-taler-protocol.xml b/draft-guetschow-taler-protocol.xml @@ -24,7 +24,7 @@ <email>mikolai.guetschow@tu-dresden.de</email> </address> </author> - <date year="2026" month="May" day="12"/> + <date year="2026" month="May" day="18"/> <workgroup>independent</workgroup> <keyword>taler</keyword> <keyword>cryptography</keyword> @@ -517,6 +517,9 @@ and therefore omit the parentheses of the typical function syntax:</t> <t><tt>Knows data</tt> specifies <tt>data</tt> that is known a priori at the start of the protocol operation</t> </li> <li> + <t><tt>Determine data</tt> specifies <tt>data</tt> that is determined according to the business logic and current state of the protocol entity</t> + </li> + <li> <t><tt>Check cond</tt> verifies that the boolean condition or variable <tt>cond</tt> is true, or aborts the protocol operation otherwise</t> </li> @@ -703,6 +706,7 @@ Persist withdrawal // todo: what exactly? should be checked first for replay? for i in 0..n: coinᵢ.sig = RSA-FDH-Unblind(blind_sigᵢ, blind_secretᵢ, denomᵢ.pub) Check RSA-FDH-Verify(SHA-512(coinᵢ.pub), coinᵢ.sig, denomᵢ.pub) + coinᵢ.value = denomᵢ.value coinᵢ.h_denom = h_denomᵢ coinᵢ.blind_secret = blind_secretᵢ // todo: why save blind_secret, if batch_seed already persisted? Persist ⟨coinᵢ⟩ @@ -720,7 +724,8 @@ Persist ⟨coinᵢ⟩ <t>The wallet obtains <tt>contract</tt> information for an <tt>order</tt> from the merchant after claiming it with a <tt>nonce</tt>. Payment of the order is prepared by signing (partial) deposit authorizations <tt>⟨depositᵢ⟩</tt> with coins <tt>⟨coinᵢ⟩</tt> of certain denominations <tt>⟨denomᵢ⟩</tt>, -where the sum of all contributions (<tt>contributionᵢ &lt;= denomᵢ.value</tt>) must match the <tt>contract.price</tt> plus potential deposit fees. +where the sum of all contributions (<tt>contributionᵢ + denomᵢ.fee_deposit &lt;= denomᵢ.value</tt>) +must match the <tt>contract.price</tt> plus potential deposit fees <tt>⟨denomᵢ.fee_deposit⟩</tt>. The payment is complete as soon as the merchant successfully redeems the deposit authorizations at the exchange.</t> <t>Deposit could also be used directly by a wallet with its own payto and a minimal contract.</t> <t>// todo: should we integrate payment templates here?</t> @@ -788,7 +793,7 @@ Knows ⟨coinᵢ⟩ Knows merchant.priv Knows exchange. (M1) order generation (merchant) wire_salt = random(128) -determine price, and ASCII strings id, info, token? +Determine price, and ASCII strings id, info, token? Persist order = (id, price, info, token?, wire_salt) ]]></sourcecode> <sourcecode type="pseudocode"><![CDATA[ @@ -807,7 +812,7 @@ or proving the payment without resorting to the individual coins.</t> Check order.token? == token? h_wire = HKDF(wire_salt, payto, "merchant-wire-signature", 64) timestamp = now() -determine refund_deadline, wire_deadline from timestamp +Determine refund_deadline, wire_deadline from timestamp contract = (order.{id,price,info,token?}, exchange, h_wire, timestamp, refund_deadline, wire_deadline) contract.nonce = nonce.pub Persist contract @@ -823,10 +828,9 @@ msg = Gen-Msg(MERCHANT_CONTRACT, h_contract) Check Ed25519-Verify(merchant.pub, msg, sig) Check contract.nonce == nonce // TODO: double-check extra hash check? -// todo: maybe get rid of CoinSelection altogether by claiming we already know coinᵢ and contributionᵢ -⟨selectionᵢ⟩ = CoinSelection(contract.{exchange,price}) TODO: include MarkDirty here for i in 0..n: - (coinᵢ, denomᵢ, contributionᵢ) = selectionᵢ + Determine coinᵢ, denomᵢ, contributionᵢ for contract.{exchange,price} + Check-Subtract(coinᵢ.value, contributionᵢ + denomᵢ.fee_deposit) msgᵢ = Gen-Msg(WALLET_COIN_DEPOSIT, ( h_contract | uint256(0x0) | uint512(0x0) | contract.h_wire | coinᵢ.h_denom @@ -837,7 +841,6 @@ for i in 0..n: depositᵢ = (coinᵢ.{pub,sig,h_denom}, contributionᵢ, sigᵢ) Persist (contract, ⟨sigᵢ⟩, ⟨depositᵢ⟩) ]]></sourcecode> - <t>// TODO: explain CoinSelection</t> <sourcecode type="pseudocode"><![CDATA[ (M3) deposit preparation (merchant) @@ -984,7 +987,7 @@ for i in 0..n: Check Ed25519-Verify(merchant.pub, msgᵢ, sigᵢ) Check valueᵢ >= denomᵢ.fee_refund remove/update scheduled wire transfer - mark coin part as unspent + Persist coinᵢ.value += valueᵢ - denomᵢ.fee_refund msgᵢ = Gen-Msg(MERCHANT_REFUND_OK, SHA-512(order.id)) sigᵢ = Ed25519-Sign(exchange.priv, msgᵢ) ]]></sourcecode> @@ -1017,7 +1020,7 @@ in exchange for one old <tt>coin</tt> of denomination <tt>denom</tt> from the ex There are three reasons why a wallet needs to do this:</t> <ol spacing="normal" type="1"><li> <t>Obtaining unlinkable change after using only a part of the coin's value during a payment (cf. <xref target="payment"/>), -i.e. where <tt>contribution &lt;= denom.value</tt></t> +i.e., where <tt>coin.value &lt; denom.value</tt></t> </li> <li> <t>Obtaining unlinkable change after a successful refund (cf. <xref target="refund"/>)</t> @@ -1027,7 +1030,7 @@ i.e. where <tt>contribution &lt;= denom.value</tt></t> </li> </ol> <t>The sum of the refresh fee of <tt>denom</tt> and the new denominations' values and withdrawal fees (defined by the exchange) -must be smaller or equal to the residual value of the old <tt>coin</tt>.</t> +must be smaller or equal to the residual value of the old coin (<tt>coin.value</tt>).</t> <t>The private key of each new coin candidate <tt>⟨coinₖᵢ.priv⟩</tt> is transitively derived from the old coin's private key <tt>coin.priv</tt> via a 512-bit secret <tt>⟨sharedₖᵢ⟩</tt> according to <tt>Refresh-Derive</tt>. The secret is regeneratable with the knowledge of <tt>coin.priv</tt> via the link protocol (cf. <xref target="link"/>). @@ -1481,9 +1484,6 @@ denom₀.priv.d = 07bc432fbc6eeb0f9ec2a4f5d2886d65228f57ee5ddac7 8a73515b7056b2828e564cdec6052bdbb43ff435178577 198de0676e5d378ade9b31844e81e2218ba3b3aec5bff9 a26621 -denom₀.hash = 8653090e3f3f5efac9770a5dd0c97813940c191c9fa171 - 3367f8bb1279b1e3d27f32d16ea7699501e5fc4d176725 - d76ab0307f9bdf9d0d263c2256a7f1c63143 denom₀.value = KUDOS:5.12 denom₀.fee_withdraw = KUDOS:0.01 denom₀.fee_deposit = KUDOS:0.01 @@ -1514,9 +1514,6 @@ denom₁.priv.d = 5a520e0e663bbeecf55d5015d258ce8145247ec62aa5d7 0cafd53c038a0a8e87890b953b8b94a9771a6efb3142ca 02db873053f8d1de2082db4366fc072aafc723c036a2fb 999605 -denom₁.hash = 1de6052bce12feaa2d26e3bba1789b0c2295028279f3ea - ff8e1345448ba05390cff49656ed72a1f7ef6ee2c4a80f - 80eefa0d0f906e74305b0215c4194ab1c7b8 denom₁.value = KUDOS:2.56 denom₁.fee_withdraw = KUDOS:0.01 denom₁.fee_deposit = KUDOS:0.01 @@ -1547,9 +1544,6 @@ denom₂.priv.d = 311849a8066faa083218b4e6444e8af44650e94ab7427d 542aa4470a14a7380a4016b21d43ef5b9e2b241ced017c 54247c12fd6beccb7bd356820b0246553c751b3e071468 c2efdd -denom₂.hash = 4f8c487d21ffb5bb7571f5d66bcf6f93f4f5c043df5483 - 669383128700064e8637afecd6029cb36dfc5a60d20ff3 - 112ff1b5ad1b53c78cf39ad13cd2531ba24e denom₂.value = KUDOS:0.16 denom₂.fee_withdraw = KUDOS:0.01 denom₂.fee_deposit = KUDOS:0.01 @@ -1580,9 +1574,6 @@ denom₃.priv.d = 1e3370867d0a0d1705b18e0d848d73f7d422f920e4aec2 2e99a49a823264955803ce3ee220a2cc64cd4321e18ae2 8bb1071c7746e8a3d69adef5113e21a01cab6809668793 c2a94f -denom₃.hash = 96524d30b4398d0d5bbe2eff902c4df1cc8286629d149b - ee0530edcfb361c468ea5fdb1b41d538223c8b3fe1a974 - 951bb3290bbfffc6f10cbf0326585041ca4d denom₃.value = KUDOS:0.08 denom₃.fee_withdraw = KUDOS:0.01 denom₃.fee_deposit = KUDOS:0.01 @@ -1626,6 +1617,12 @@ coin₀.pub = afbdf99f1a794add25bad59c9a3f442714e166adc99c57 db991947669a36b185 coin₁.pub = aa7118596b1adf89543e9afcf2925e516a782eed9d75c8 abc4a470e7efdd7fe4 +h_denom₀ = 8653090e3f3f5efac9770a5dd0c97813940c191c9fa171 + 3367f8bb1279b1e3d27f32d16ea7699501e5fc4d176725 + d76ab0307f9bdf9d0d263c2256a7f1c63143 +h_denom₁ = 1de6052bce12feaa2d26e3bba1789b0c2295028279f3ea + ff8e1345448ba05390cff49656ed72a1f7ef6ee2c4a80f + 80eefa0d0f906e74305b0215c4194ab1c7b8 planchet₀ = 64ede0cf40a952b95af4b09b22c6fd27a1ff6d0ae3920e a03fe14a8b547f1e14a2eea98443e7aa092075f6585103 fb06c1d68fb4616bf33ae30a207e51840f1ae655a73418 @@ -2176,654 +2173,649 @@ Education and Research (BMBF) within the project Concrete Contracts.</t> </section> </back> <!-- ##markdown-source: -H4sIAAAAAAAAA+y92XYcR5I2eJ9PEU1dCKhCgrF4bJxi1VBctZBSkVRRqioN -4CuQzUQmOheSaIl9WlX/vMLc/udMX9TMA/w3feZurvqm36H7SeYzX2LJzABA -iVJX9/w4VSKQGeHhbm7LZ+ZmFuPxePTqVpSNRqvJaqpvRTeen+ro4ZMvo+d8 -qhfRF4v5ai7n0xsjNZczfoYr1IKb1fhkrVdLeTp/PV7RheNzf+FI8pU+mS8u -bkWTmZmPRpPzxa1otVgvV2kc13E6ej1fvDxZzNfndIXS5xr/ma1Gy9VC87P+ -Zy/1Ba5Wt0ZRNI7sc+xvcnFxvpqfLPj56YX9QEu+PLW/nfOLM9y5HI0+eKVn 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+3XuJb3x4xcPDZ1/x8PCHH6Q7eMd35wGEv3y8XvDTV39W7+NPX3n7Wgfiq/a0 +bo4/3756lkZ6ePuN/vTr8erN2+9Bi9/ouZ5e/OtfvXn/uq/HNb/4xW4PT+sX +vMlv//H29Zd/ffvtP7148TUn7fb928dXt+/b0+3pWfBwzRtL+a49fnfrv799 +9+26/d16fN0ktTjXI9/jNy/fcEA5n2/3i7+Z78fHiYD/sJ5Wexzf3v7iy998 ++bd/edN35b30Hu8e3/7zGjz62zfa2qXfXCJvT7968b+tqeLhSlsBAA== --> diff --git a/test-vectors/test-case-1.md b/test-vectors/test-case-1.md @@ -31,9 +31,6 @@ denom₀.priv.d = 07bc432fbc6eeb0f9ec2a4f5d2886d65228f57ee5ddac7 8a73515b7056b2828e564cdec6052bdbb43ff435178577 198de0676e5d378ade9b31844e81e2218ba3b3aec5bff9 a26621 -denom₀.hash = 8653090e3f3f5efac9770a5dd0c97813940c191c9fa171 - 3367f8bb1279b1e3d27f32d16ea7699501e5fc4d176725 - d76ab0307f9bdf9d0d263c2256a7f1c63143 denom₀.value = KUDOS:5.12 denom₀.fee_withdraw = KUDOS:0.01 denom₀.fee_deposit = KUDOS:0.01 @@ -64,9 +61,6 @@ denom₁.priv.d = 5a520e0e663bbeecf55d5015d258ce8145247ec62aa5d7 0cafd53c038a0a8e87890b953b8b94a9771a6efb3142ca 02db873053f8d1de2082db4366fc072aafc723c036a2fb 999605 -denom₁.hash = 1de6052bce12feaa2d26e3bba1789b0c2295028279f3ea - ff8e1345448ba05390cff49656ed72a1f7ef6ee2c4a80f - 80eefa0d0f906e74305b0215c4194ab1c7b8 denom₁.value = KUDOS:2.56 denom₁.fee_withdraw = KUDOS:0.01 denom₁.fee_deposit = KUDOS:0.01 @@ -97,9 +91,6 @@ denom₂.priv.d = 311849a8066faa083218b4e6444e8af44650e94ab7427d 542aa4470a14a7380a4016b21d43ef5b9e2b241ced017c 54247c12fd6beccb7bd356820b0246553c751b3e071468 c2efdd -denom₂.hash = 4f8c487d21ffb5bb7571f5d66bcf6f93f4f5c043df5483 - 669383128700064e8637afecd6029cb36dfc5a60d20ff3 - 112ff1b5ad1b53c78cf39ad13cd2531ba24e denom₂.value = KUDOS:0.16 denom₂.fee_withdraw = KUDOS:0.01 denom₂.fee_deposit = KUDOS:0.01 @@ -130,9 +121,6 @@ denom₃.priv.d = 1e3370867d0a0d1705b18e0d848d73f7d422f920e4aec2 2e99a49a823264955803ce3ee220a2cc64cd4321e18ae2 8bb1071c7746e8a3d69adef5113e21a01cab6809668793 c2a94f -denom₃.hash = 96524d30b4398d0d5bbe2eff902c4df1cc8286629d149b - ee0530edcfb361c468ea5fdb1b41d538223c8b3fe1a974 - 951bb3290bbfffc6f10cbf0326585041ca4d denom₃.value = KUDOS:0.08 denom₃.fee_withdraw = KUDOS:0.01 denom₃.fee_deposit = KUDOS:0.01 @@ -176,6 +164,12 @@ coin₀.pub = afbdf99f1a794add25bad59c9a3f442714e166adc99c57 db991947669a36b185 coin₁.pub = aa7118596b1adf89543e9afcf2925e516a782eed9d75c8 abc4a470e7efdd7fe4 +h_denom₀ = 8653090e3f3f5efac9770a5dd0c97813940c191c9fa171 + 3367f8bb1279b1e3d27f32d16ea7699501e5fc4d176725 + d76ab0307f9bdf9d0d263c2256a7f1c63143 +h_denom₁ = 1de6052bce12feaa2d26e3bba1789b0c2295028279f3ea + ff8e1345448ba05390cff49656ed72a1f7ef6ee2c4a80f + 80eefa0d0f906e74305b0215c4194ab1c7b8 planchet₀ = 64ede0cf40a952b95af4b09b22c6fd27a1ff6d0ae3920e a03fe14a8b547f1e14a2eea98443e7aa092075f6585103 fb06c1d68fb4616bf33ae30a207e51840f1ae655a73418