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[Move only] Move content from CH06 & CH07 to new A&A chapter
A&A = Authorization & Authentication
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ch06.asciidoc
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ch06.asciidoc
@ -197,326 +197,6 @@ because Eugenia is spending more money, but because her transaction is
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more complex and larger in size--the fee is independent of the
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transaction's bitcoin value.((("", startref="Tout06")))
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[[tx_script]]
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[role="pagebreak-before less_space_h1"]
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=== Transaction Scripts and Script Language
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((("transactions", "scripts and Script language",
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id="Tsript06")))((("scripting", "transactions and",
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id="Stransact06")))The bitcoin transaction script language, called
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_Script_, is a Forth-like reverse-polish notation stack-based execution
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language. If that sounds like gibberish, you probably haven't studied
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1960s programming languages, but that's ok—we will explain it all
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in this chapter. Both the locking script placed on an UTXO and the
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unlocking script are written in this scripting language. When a
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transaction is validated, the unlocking script in each input is executed
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alongside the corresponding locking script to see if it satisfies the
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spending condition.
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Script is a very simple language that was designed to be limited in
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scope and executable on a range of hardware, perhaps as simple as an
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embedded device. It requires minimal processing and cannot do many of
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the fancy things modern programming languages can do. For its use in
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validating programmable money, this is a deliberate security feature.
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((("Pay-to-Public-Key-Hash (P2PKH)")))Today, most transactions processed
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through the Bitcoin network have the form "Payment to Bob's Bitcoin
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address" and are based on a script called a Pay-to-Public-Key-Hash
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script. However, bitcoin transactions are not limited to the "Payment
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to Bob's Bitcoin address" script. In fact, locking scripts can be
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written to express a vast variety of complex conditions. In order to
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understand these more complex scripts, we must first understand the
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basics of transaction scripts and script language.
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In this section, we will demonstrate the basic components of the bitcoin
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transaction scripting language and show how it can be used to express
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simple conditions for spending and how those conditions can be satisfied
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by unlocking scripts.
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[TIP]
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====
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((("programmable money")))Bitcoin transaction validation is not based on
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a static pattern, but instead is achieved through the execution of a
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scripting language. This language allows for a nearly infinite variety
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of conditions to be expressed. This is how bitcoin gets the power of
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"programmable money."
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====
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==== Turing Incompleteness
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((("Turing incompleteness")))The bitcoin transaction script language
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contains many operators, but is deliberately limited in one important
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way--there are no loops or complex flow control capabilities other than
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conditional flow control. This ensures that the language is not _Turing
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Complete_, meaning that scripts have limited complexity and predictable
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execution times. Script is not a general-purpose language.
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((("denial-of-service attacks")))((("denial-of-service attacks",
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see="also security")))((("security", "denial-of-service attacks")))These
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limitations ensure that the language cannot be used to create an
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infinite loop or other form of "logic bomb" that could be embedded in a
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transaction in a way that causes a denial-of-service attack against the
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Bitcoin network. Remember, every transaction is validated by every full
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node on the Bitcoin network. A limited language prevents the transaction
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validation mechanism from being used as a vulnerability.
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==== Stateless Verification
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((("stateless verification")))The bitcoin transaction script language is
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stateless, in that there is no state prior to execution of the script,
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or state saved after execution of the script. Therefore, all the
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information needed to execute a script is contained within the script. A
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script will predictably execute the same way on any system. If your
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system verifies a script, you can be sure that every other system in the
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Bitcoin network will also verify the script, meaning that a valid
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transaction is valid for everyone and everyone knows this. This
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predictability of outcomes is an essential benefit of the Bitcoin
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system.
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[[tx_lock_unlock]]
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==== Script Construction (Lock + Unlock)
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Bitcoin's transaction validation engine relies on two types of scripts
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to validate transactions: a locking script and an unlocking script.
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((("locking scripts")))((("unlocking scripts")))((("scripting", "locking
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scripts")))A locking script is a spending condition placed on an output:
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it specifies the conditions that must be met to spend the output in the
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future. ((("scriptPubKey")))Historically, the locking script was called
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a _scriptPubKey_, because it usually contained a public key or Bitcoin
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address (public key hash). In this book we refer to it as a "locking
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script" to acknowledge the much broader range of possibilities of this
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scripting technology. In most bitcoin applications, what we refer to as
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a locking script will appear in the source code as +scriptPubKey+.
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((("witnesses")))((("cryptographic puzzles")))You will also see the
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locking script referred to as a _witness script_ (see <<segwit>>) or
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more generally as a _cryptographic puzzle_. These terms all mean the
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same thing, at different levels of abstraction.
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An unlocking script is a script that "solves," or satisfies, the
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conditions placed on an output by a locking script and allows the output
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to be spent. Unlocking scripts are part of every transaction input. Most
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of the time they contain a digital signature produced by the user's
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wallet from his or her private key. ((("scriptSig")))Historically, the
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unlocking script was called _scriptSig_, because it usually contained a
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digital signature. In most bitcoin applications, the source code refers
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to the unlocking script as +scriptSig+. You will also see the unlocking
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script referred to as a _witness_ (see <<segwit>>). In this book, we
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refer to it as an "unlocking script" to acknowledge the much broader
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range of locking script requirements, because not all unlocking scripts
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must contain signatures.
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Every bitcoin validating node will validate transactions by executing
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the locking and unlocking scripts together. Each input contains an
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unlocking script and refers to a previously existing UTXO. The
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validation software will copy the unlocking script, retrieve the UTXO
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referenced by the input, and copy the locking script from that UTXO. The
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unlocking and locking script are then executed in sequence. The input is
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valid if the unlocking script satisfies the locking script conditions
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(see <<script_exec>>). All the inputs are validated independently, as
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part of the overall validation of the transaction.
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Note that the UTXO is permanently recorded in the blockchain, and
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therefore is invariable and is unaffected by failed attempts to spend it
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by reference in a new transaction. Only a valid transaction that
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correctly satisfies the conditions of the output results in the output
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being considered as "spent" and removed from the set of unspent
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transaction outputs (UTXO set).
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<<scriptSig_and_scriptPubKey>> is an example of the unlocking and
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locking scripts for the most common type of bitcoin transaction (a
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payment to a public key hash), showing the combined script resulting
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from the concatenation of the unlocking and locking scripts prior to
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script validation.
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[[scriptSig_and_scriptPubKey]]
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.Combining scriptSig and scriptPubKey to evaluate a transaction script
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image::images/mbc2_0603.png["scriptSig_and_scriptPubKey"]
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===== The script execution stack
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Bitcoin's scripting language is called a stack-based language because it
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uses a data structure called a _stack_. A stack is a very simple data
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structure that can be visualized as a stack of cards. A stack allows two
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operations: push and pop. Push adds an item on top of the stack. Pop
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removes the top item from the stack. Operations on a stack can only act
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on the topmost item on the stack. A stack data structure is also called
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a Last-In-First-Out, or "LIFO" queue.
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The scripting language executes the script by processing each item from
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left to right. Numbers (data constants) are pushed onto the stack.
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Operators push or pop one or more parameters from the stack, act on
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them, and might push a result onto the stack. For example, +OP_ADD+ will
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pop two items from the stack, add them, and push the resulting sum onto
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the stack.
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Conditional operators evaluate a condition, producing a boolean result
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of TRUE or FALSE. For example, +OP_EQUAL+ pops two items from the stack
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and pushes TRUE (TRUE is represented by the number 1) if they are equal
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or FALSE (represented by zero) if they are not equal. Bitcoin
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transaction scripts usually contain a conditional operator, so that they
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can produce the TRUE result that signifies a valid transaction.
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===== A simple script
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Now let's apply what we've learned about scripts and stacks to some simple examples.
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In <<simplemath_script>>, the script +2 3 OP_ADD 5 OP_EQUAL+
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demonstrates the arithmetic addition operator +OP_ADD+, adding two
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numbers and putting the result on the stack, followed by the conditional
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operator +OP_EQUAL+, which checks that the resulting sum is equal to
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+5+. For brevity, the +OP_+ prefix is omitted in the step-by-step
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example. For more details on the available script operators and
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functions, see <<tx_script_ops>>.
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Although most locking scripts refer to a public key hash (essentially, a
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Bitcoin address), thereby requiring proof of ownership to spend the
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funds, the script does not have to be that complex. Any combination of
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locking and unlocking scripts that results in a TRUE value is valid. The
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simple arithmetic we used as an example of the scripting language is
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also a valid locking script that can be used to lock a transaction
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output.
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Use part of the arithmetic example script as the locking script:
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----
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3 OP_ADD 5 OP_EQUAL
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----
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which can be satisfied by a transaction containing an input with the
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unlocking script:
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----
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2
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----
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The validation software combines the locking and unlocking scripts and
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the resulting script is:
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----
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2 3 OP_ADD 5 OP_EQUAL
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----
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As we saw in the step-by-step example in <<simplemath_script>>, when
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this script is executed, the result is +OP_TRUE+, making the transaction
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valid. Not only is this a valid transaction output locking script, but
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the resulting UTXO could be spent by anyone with the arithmetic skills
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to know that the number 2 satisfies the script.
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[TIP]
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====
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((("transactions", "valid and invalid")))Transactions are valid if the
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top result on the stack is +TRUE+ (noted as ++{0x01}++), any
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other nonzero value, or if the stack is empty after script execution.
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Transactions are invalid if the top value on the stack is +FALSE+ (a
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zero-length empty value, noted as ++{}++) or if script
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execution is halted explicitly by an operator, such as +OP_VERIFY+,
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+OP_RETURN+, or a conditional terminator such as +OP_ENDIF+. See
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<<tx_script_ops>> for details.
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====
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[[simplemath_script]]
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.Bitcoin's script validation doing simple math
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image::images/mbc2_0604.png["TxScriptSimpleMathExample"]
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[role="pagebreak-before"]
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The following is a slightly more complex script, which calculates ++2 +
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7 -- 3 + 1++. Notice that when the script contains several operators in
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a row, the stack allows the results of one operator to be acted upon by
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the next operator:
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----
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2 7 OP_ADD 3 OP_SUB 1 OP_ADD 7 OP_EQUAL
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----
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Try validating the preceding script yourself using pencil and paper.
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When the script execution ends, you should be left with the value +TRUE+
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on the stack.
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[[script_exec]]
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===== Separate execution of unlocking and locking scripts
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((("security", "locking and unlocking scripts")))In the original Bitcoin
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client, the unlocking and locking scripts were concatenated and executed
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in sequence. For security reasons, this was changed in 2010, because of
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a vulnerability that allowed a malformed unlocking script to push data
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onto the stack and corrupt the locking script. In the current
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implementation, the scripts are executed separately with the stack
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transferred between the two executions, as described next.
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First, the unlocking script is executed, using the stack execution
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engine. If the unlocking script is executed without errors (e.g., it has
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no "dangling" operators left over), the main stack is copied and the
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locking script is executed. If the result of executing the locking
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script with the stack data copied from the unlocking script is "TRUE,"
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the unlocking script has succeeded in resolving the conditions imposed
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by the locking script and, therefore, the input is a valid authorization
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to spend the UTXO. If any result other than "TRUE" remains after
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execution of the combined script, the input is invalid because it has
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failed to satisfy the spending conditions placed on the UTXO.
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[[p2pkh]]
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==== Pay-to-Public-Key-Hash (P2PKH)
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((("Pay-to-Public-Key-Hash (P2PKH)")))The vast majority of transactions
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processed on the Bitcoin network spend outputs locked with a
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Pay-to-Public-Key-Hash or "P2PKH" script. These outputs contain a
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locking script that locks the output to a public key hash, more commonly
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known as a Bitcoin address. An output locked by a P2PKH script can be
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unlocked (spent) by presenting a public key and a digital signature
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created by the corresponding private key (see <<digital_sigs>>).
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((("use cases", "buying coffee")))For example, let's look at Alice's
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payment to Bob's Cafe again. Alice made a payment of 0.015 bitcoin to
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the cafe's Bitcoin address. That transaction output would have a locking
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script of the form:
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----
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OP_DUP OP_HASH160 <Cafe Public Key Hash> OP_EQUALVERIFY OP_CHECKSIG
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----
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The +Cafe Public Key Hash+ is equivalent to the Bitcoin address of the
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cafe, without the Base58Check encoding. Most applications would show the
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_public key hash_ in hexadecimal encoding and not the familiar Bitcoin
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address Base58Check format that begins with a "1."
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The preceding locking script can be satisfied with an unlocking script
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of the form:
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----
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<Cafe Signature> <Cafe Public Key>
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----
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The two scripts together would form the following combined validation
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script:
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----
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<Cafe Signature> <Cafe Public Key> OP_DUP OP_HASH160
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<Cafe Public Key Hash> OP_EQUALVERIFY OP_CHECKSIG
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----
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When executed, this combined script will evaluate to TRUE if, and only
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if, the unlocking script matches the conditions set by the locking
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script. In other words, the result will be TRUE if the unlocking script
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has a valid signature from the cafe's private key that corresponds to
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the public key hash set as an encumbrance.
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Figures pass:[<a data-type="xref" href="#P2PubKHash1"
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data-xrefstyle="select: labelnumber">#P2PubKHash1</a>] and pass:[<a
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data-type="xref" href="#P2PubKHash2" data-xrefstyle="select:
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labelnumber">#P2PubKHash2</a>] show (in two parts) a step-by-step
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execution of the combined script, which will prove this is a valid
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transaction.((("", startref="Tsript06")))((("",
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startref="Stransact06")))
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[[P2PubKHash1]]
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.Evaluating a script for a P2PKH transaction (part 1 of 2)
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image::images/mbc2_0605.png["Tx_Script_P2PubKeyHash_1"]
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[[P2PubKHash2]]
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.Evaluating a script for a P2PKH transaction (part 2 of 2)
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image::images/mbc2_0606.png["Tx_Script_P2PubKeyHash_2"]
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[[digital_sigs]]
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=== Digital Signatures (ECDSA)
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@ -892,4 +572,3 @@ If you are implementing an algorithm to sign transactions in bitcoin,
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you _must_ use RFC 6979 or a similarly deterministic-random algorithm to
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ensure you generate a different _k_ for each transaction.((("",
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startref="Tdigsig06")))
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