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  1. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH

  2. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH

  3. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH
    #helldivers2 #helldivers #Palworld #discordserver #community #4gamer #discord #discordguild #guild #gaming #lfg #rainbowsixsiege #rainbow6 #Destiny2 #Battlefield #COD #ModernWarfareIII #mw3
    #callofduty #rorr #riskofrainreturns #gamer #warhammer40k

  4. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH
    #helldivers2 #helldivers #Palworld #discordserver #community #4gamer #discord #discordguild #guild #gaming #lfg #rainbowsixsiege #rainbow6 #Destiny2 #Battlefield #COD #ModernWarfareIII #mw3
    #callofduty #rorr #riskofrainreturns #gamer #warhammer40k

  5. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH
    #helldivers2 #helldivers #Palworld #discordserver #community #4gamer #discord #discordguild #guild #gaming #lfg #rainbowsixsiege #rainbow6 #Destiny2 #Battlefield #COD #ModernWarfareIII #mw3
    #callofduty #rorr #riskofrainreturns #gamer #warhammer40k

  6. The Sauna Gaming: • Adult • Gamer • Fun • Social • Memes • Music • Creators • Esports •
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/nzGmtBFyPH
    #helldivers2 #helldivers #Palworld #discordserver #community #4gamer #discord #discordguild #guild #gaming #lfg #rainbowsixsiege #rainbow6 #Destiny2 #Battlefield #COD #ModernWarfareIII #mw3
    #callofduty #rorr #riskofrainreturns #gamer #warhammer40k

  7. Moisture Gaming: • Adult • Gamer • Fun • Social • Memes • Creators • Esports
    We are an English speaking guild and are active most evenings (NA Time Western Central and Eastern; plus GB EU & Australia) and weekends.

    discord.gg/QhCBNsEuZF

    #discord #discordguild #guild #gaming #lfg #r6 #rainbowsixsiege #rainbow6 #Destiny2 #Battlefield #COD #MW2 #ModernWarfareIII #mw3 #mw2 #callofduty #callofdutymodernwarfareiii #riskofrain #riskofrain2 #rorr #riskofrainreturns #gamer #gamers #gaming #community

  8. LLMs and Specs

    I was trying to get a specification for a program at one point, to see if it was doing what I wanted. My LLM, Lyin’ Brian, created one for me.

    The background was that I had asked an LLM for a link to math book with the algorithm of, for example, a lower hull. I asked it to write it out in English, used that for the prompt.

    It found me https://cp-algorithms.com/geometry/convex-hull.html, and once I had it and checked it, I had Claude convert it to Go, and then I debugged it.

    Once I had that, I asked Claude for the specification, and got:

    Logical Specification for Lower Hull

    Here's a formal specification of what the lower hull algorithm should accomplish:

    Given: A finite set of points P = {p₁, p₂, ..., pₙ} in 2D space

    Output: An ordered sequence of points L = [l₁, l₂, ..., lₖ] representing the lower hull

    Postconditions (what must be true after execution):

    Subset property: L ⊆ P (all points in the lower hull are from the original set)

    Ordering property: l₁ has the minimum x-coordinate (leftmost), and lₖ has the maximum x-coordinate (rightmost). For all i < j, x(lᵢ) ≤ x(lⱼ) (x-coordinates are monotonically non-decreasing)

    Convexity property: For all consecutive triples (lᵢ, lᵢ₊₁, lᵢ₊₂) in L, the orientation must be counterclockwise (left turn). Formally: (lᵢ₊₁ - lᵢ) × (lᵢ₊₂ - lᵢ₊₁) > 0

    Minimality property: L is minimal — no point from P can be removed from L while still maintaining properties 2 and 3. (This ensures you have the actual hull, not just some counterclockwise path)

    Completeness property: All points on the lower convex hull boundary are included. Formally: for any point p ∈ P that lies on the lower boundary of the convex hull, p ∈ L

    Preconditions (assumptions):

    P contains at least 2 points
    Points are distinct (no duplicates)
    The meaning of Lower Hull is understood by all

    This successfully translated the program into a spec I could read. Not easily, though! It’s been a while since I did symbolic logic, back at Sun.

    So I worked it through with a pencil, paper and a trivial set of data, and that was really what I was asking for. It also told me that I needed to add code to check that the points really were distinct (no duplicates).

    Necessary and sufficient? I’m going to think more about that.

    #ai #artificialIntelligence #mathematics #programming #specifications
  9. LMs and Specs

    I was trying to get a specification for a program at one point, to see if it was doing what I wanted. My LLM, Lyin’ Brian, created one for me.

    The background was that I had asked an LLM for a link to math book with the algorithm of, for example, a lower hull. I asked it to write it out in English, used that for the prompt.

    It found me https://cp-algorithms.com/geometry/convex-hull.html, and once I had it and checked it, I had Claude convert it to Go, and then I debugged it.

    Once I had that, I asked Claude for the specification, and got:

    Logical Specification for Lower Hull

    Here's a formal specification of what the lower hull algorithm should accomplish:

    Given: A finite set of points P = {p₁, p₂, ..., pₙ} in 2D space

    Output: An ordered sequence of points L = [l₁, l₂, ..., lₖ] representing the lower hull

    Postconditions (what must be true after execution):

    Subset property: L ⊆ P (all points in the lower hull are from the original set)

    Ordering property: l₁ has the minimum x-coordinate (leftmost), and lₖ has the maximum x-coordinate (rightmost). For all i < j, x(lᵢ) ≤ x(lⱼ) (x-coordinates are monotonically non-decreasing)

    Convexity property: For all consecutive triples (lᵢ, lᵢ₊₁, lᵢ₊₂) in L, the orientation must be counterclockwise (left turn). Formally: (lᵢ₊₁ - lᵢ) × (lᵢ₊₂ - lᵢ₊₁) > 0

    Minimality property: L is minimal — no point from P can be removed from L while still maintaining properties 2 and 3. (This ensures you have the actual hull, not just some counterclockwise path)

    Completeness property: All points on the lower convex hull boundary are included. Formally: for any point p ∈ P that lies on the lower boundary of the convex hull, p ∈ L

    Preconditions (assumptions):

    P contains at least 2 points
    Points are distinct (no duplicates)
    The meaning of Lower Hull is understood by all

    This successfully translated the program into a spec I could read. Not easily, though! It’s been a while since I did symbolic logic, back at Sun.

    So I worked it through with a pencil, paper and a trivial set of data, and that was really what I was asking for. It also told me that I needed to add code to check that the points really were distinct (no duplicates).

    Necessary and sufficient? I’m going to think more about that.

    #ai #artificialIntelligence #mathematics #programming #specifications