PRODUCT FOR TUPLES Sketch of a recursive algorithm: Sketch of a recursive algorithm: 90CARTESIAN PRODUCT FOR TUPLES CARTESIAN PRODUCT FOR TUPLES Sketch of a recursive algorithm: Sketch of a recursive algorithm: into �rst and rest 90.1CARTESIAN PRODUCT FOR TUPLES CARTESIAN PRODUCT FOR TUPLES Sketch of a recursive algorithm: Sketch of a recursive algorithm: 1. Split the given tuples into �rst and rest 2. Let C product of the rest 90.2CARTESIAN PRODUCT FOR TUPLES CARTESIAN PRODUCT FOR TUPLES Sketch of a recursive algorithm: Sketch of a recursive algorithm: 1. Split the given tuples into �rst and rest 2. Let C

⟧.own([x]) ∗ ⟦rc τ ⟧.own([y])} x.cnt += 1; ? x.cnt += 1; let y = ptr::read(x) Goal Proof sketch {∃ℓ.?=ℓ∗∃?∈ℤ+¿,?∈ℚ∩¿.¿ℓ↦[?+1]++[?]∗sharedown(?,ℓ,?,?,?)} ? Rc::::clone Examples ? ℓ ↦[?+1]++[ ’∈ℚ∩¿.¿ℓ↦[?’]++[?]∗sharedown(?,ℓ,?,?’,?’)∗ ℓ↦[?’]++[?]∗sharedown(?,ℓ ,? ,?’,?’) } ?’ ?’ Proof sketch ⟦rc τ ⟧.own([x]) ⟦rc τ ⟧.own([y]) Q.E.D. {⋯} let y = ptr::read(x) Thank you ！

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the PARSEOPT module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more complicated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remember details.[71] But MergeSort is indeed an important those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the PARSEOPT module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more complicated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remember details.[71] But MergeSort is indeed an important those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more com­ plicated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remember details. [2] But MergeSort is indeed an important those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more compli­ cated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remem­ ber details. [2] But MergeSort is indeed an those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more com­ plicated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remember details. [2] But MergeSort is indeed an important those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more compli­ cated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remem­ ber details. [2] But MergeSort is indeed an those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more compli­ cated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remem­ ber details. [2] But MergeSort is indeed an those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to

convert them to integers or other data types when required. At the end of this section, we will sketch how an actual program might use the ᴘᴀʀsᴇoᴘᴛ module. We assume that we want to create a tool capable actual MergeSort algorithm at all, as it is a bit more compli­ cated, and whenever we may have seen a sketch of it somewhere, it is generally not easy to remem­ ber details. [2] But MergeSort is indeed an those newly inserted elements could overwrite still unprocessed elements. So, we will try to give a sketch of a very slow, unoptimized algorithm, which creates and returns a new sorted container first, to