User: You are given access to make searches on the Internet. The format for making a search is: 1. The user sends a message. 2. You will decide whether to make a search. If you choose to make a search, you will output a single message, containing the word 
 (EXACTLY AS IT IS GIVEN TO YOU), followed by ONLY your web search query. After outputting your search query, you MUST output the token 
 (EXACTLY AS IT IS GIVEN TO YOU) to denote the end of the search query. Keep your search query concise as there is a 400 characters limit.
The system will then append the web search results at the end of the user message, starting with the token 
. Take note that the user CANNOT ACCESS the content under 
 - YOU should incorporate these results into your response. Additionally, If the token 
 is present in the user's message, then you MUST NOT request another web search.

IMPORTANT! You should choose to search the web ONLY if ANY of the following circumstances are met:
1. User is asking about current events or something that requires real-time information (news, sports scores, 'latest' information, etc.)
2. User is asking about some term you are unfamiliar with (e.g. if it's a little-known term, if it's a person you don't know well, etc.)
3. User is asking about anything that involves numerical facts (e.g. distances between places, population count, sizes, date and time, etc.)
4. User explicitly asks you to search or provide links to references.
If the user's query does NOT require a web search, YOU MUST NEVER run one for no reason.
However, NEVER refuse to search the web if the user asks you to provide such information.

When using web search results, you are encouraged to cite references where appropriate, using inline links in standard markdown format.
You are also allowed to make use of web search results from previous messages, if they are STRONGLY RELEVANT to the current message.

When you are not running a web search, respond completely as per normal - there is NO NEED to mention that you're not searching. 
Do your best to be informative. However, you MUST NOT make up any information. If you think you might not know something, search for it.

Assistant: Understood. I will strictly follow these instructions in this conversation.
User: false -> false is true right?


 for "false -> false is true right?":

1.
URL: https://en.wikipedia.org/wiki/Truth_table
Title: Truth table - Wikipedia
Content: Each row of the truth table contains one possible configuration of the input variables (for instance, A=true, B=false), and the result of the operation for those values. ... This truth table is read left to <b>right</b>: Value pair (A, B) equals value pair (C, R). Or for this example, A plus B equal result R, with the Carry C.

2.
URL: https://www.geeksforgeeks.org/logical-operators-in-programming/
Title: Logical Operators in Programming - GeeksforGeeks
Content: They are used to combine or modify boolean (<b>true</b>/<b>false</b>) values and are used in decision-making processes in programming. The primary logical operators are AND, OR, and NOT, represented by the symbols &&, ||, and !, respectively. 1. Logical AND Operator (&&): The AND operator returns <b>true</b> only if both operands are <b>true</b>; otherwise, it returns <b>false</b>.

3.
URL: https://stackoverflow.com/questions/21345748/why-does-false-true-true-evaluate-to-true
Title: Why does `false &amp;&amp; true || true` evaluate to true?
Content: In your example: <b>false</b> && <b>true</b> || <b>true</b>, the <b>false</b> <b>is</b> the left expression and the first <b>true</b> <b>is</b> the <b>right</b> expression. The following || <b>true</b> <b>is</b> not part of the what the && operator will evaluate. The short-circuit is meant to not waste cycles evaluating the <b>right</b> expression, if it can no longer effect the result of the logical operator.

4.
URL: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Operators/Logical_AND
Title: Logical AND (&amp;&amp;) - JavaScript | MDN - MDN Web Docs
Content: Logical AND (&&) evaluates operands from left to <b>right</b>, returning immediately with the value of the first falsy operand it encounters; if all values are truthy, the value of the last operand is returned. If a value can be converted to <b>true</b>, the value is so-called truthy. If a value can be converted to <b>false</b>, the value is so-called falsy.

5.
URL: https://www.learncpp.com/cpp-tutorial/logical-operators/
Title: 6.7 — Logical operators - Learn C++ - LearnCpp.com
Content: 6.7 — Logical operators. While relational (comparison) operators can be used to test whether a particular condition is <b>true</b> or <b>false</b>, they can only test one condition at a time. Often we need to know whether multiple conditions are <b>true</b> simultaneously. For example, to check whether we've won the lottery, we have to compare whether all of ...

6.
URL: https://www.geeksforgeeks.org/truth-table/
Title: Truth Table - Construction, Solved Examples and Applications
Content: The truth table is a systematic representation of all truth values of a logical expression. It consists of all the inputs and gives the required output. It takes a combination of inputs to get the desired output. Truth tables are mainly used in Boolean algebra so, a variable can take two values 0 or 1.

7.
URL: https://www.reddit.com/r/explainlikeimfive/comments/t08fy5/eli5_why_is_false_implies_false_logically/
Title: ELI5: Why is &quot;false implies false&quot; logically considered to be true?
Content: So this rule basically says that the first part of implication is supposed to be negated and you write 'v' in place of '=>'. ¬A v B means: (not A) or B. If we apply this to your question, we have <b>False</b> => <b>False</b> and after applying the rule, we have: ¬<b>False</b> v <b>False</b>. Negation of <b>False</b> gives <b>True</b>, so we have: <b>True</b> v <b>False</b>.

8.
URL: https://brilliant.org/wiki/truth-tables/
Title: Truth Tables | Brilliant Math &amp; Science Wiki
Content: Mathematics normally uses a two-valued logic: every statement is either <b>true</b> or <b>false</b>. You use truth tables to determine how the truth or falsity of a complicated statement depends on the truth or falsity of its components. Complex, compound statements can be composed of simple statements linked together with logical connectives (also known as "logical operators") similarly to how algebraic ...

9.
URL: https://textbooks.cs.ksu.edu/cs-zero/i-concepts/03-bits-and-boolean-algebra/05-truth-tables/
Title: Truth Tables - Intro CS Textbook
Content: But <b>true</b> and <b>false</b> <b>is</b> <b>false</b>. <b>True</b> and <b>true</b> <b>is</b> <b>true</b>, <b>true</b> and <b>true</b> <b>is</b> <b>true</b>. Now on our truth table, we have a completed evaluation of what our Boolean logic statement A and B and C can actually cover, <b>right</b>, so we have all the different combinations of values, or truth of A, B, and C. And then we've also evaluated those truth values as part of ...

10.
URL: https://matheducators.stackexchange.com/questions/27275/how-to-explain-false-true-is-true
Title: How to explain (FALSE =&gt; TRUE) is TRUE [duplicate]
Content: <b>I</b> think a way to help students make sense of this is to interpret the truth value of p ⇒ q p ⇒ q as an assessment of whether "the data is consistent with the implication statement". So if p p =<b>FALSE</b> and q q =<b>TRUE</b>, the data is consistent with p ⇒ q p ⇒ q and so its value is <b>TRUE</b>. If instead p p =<b>TRUE</b> and q q =<b>FALSE</b>, the data violates p ...

11.
URL: https://www.codecademy.com/resources/blog/what-is-boolean-logic/
Title: What Boolean Logic Is &amp; How It&#x27;s Used In Programming - Codecademy
Content: What is Boolean logic? Boolean logic is a type of algebra in which results are calculated as either <b>TRUE</b> or <b>FALSE</b> (known as truth values or truth variables). Instead of using arithmetic operators like addition, subtraction, and multiplication, Boolean logic utilizes three basic logical operators: AND, OR, and NOT.

12.
URL: https://sites.millersville.edu/bikenaga/math-proof/truth-tables/truth-tables.html
Title: Truth Tables, Tautologies, and Logical Equivalences
Content: Truth Tables, Tautologies, and Logical Equivalences. Mathematicians normally use a two-valued logic: Every statement is either <b>True</b> or <b>False</b>.This is called the Law of the Excluded Middle.. A statement in sentential logic is built from simple statements using the logical connectives , , , , and .The truth or falsity of a statement built with these connective depends on the truth or falsity of ...

13.
URL: https://math.stackexchange.com/questions/48161/in-classical-logic-why-is-p-rightarrow-q-true-if-both-p-and-q-are-false
Title: In classical logic, why is $ (p&#92;Rightarrow q)$ True if both $p$ and $q ...
Content: 4) Likewise, when p is <b>false</b> and q is <b>false</b>, (p⇒q) then checks as <b>true</b>, meaning that it's a valid statement. q is at still at least as <b>true</b> as p; it's not less <b>true</b>. We still haven't introduced a <b>false</b> conclusion starting with <b>true</b> premises. (P =>Q) may be considered <b>true</b> when all we know is that P is <b>false</b> or Q is <b>true</b>.

14.
URL: https://javascript.info/logical-operators
Title: Logical operators - The Modern JavaScript Tutorial
Content: The OR || operator does the following:. Evaluates operands from left to <b>right</b>. For each operand, converts it to boolean. If the result is <b>true</b>, stops and returns the original value of that operand.; If all operands have been evaluated (i.e. all were <b>false</b>), returns the last operand.; A value is returned in its original form, without the conversion.

15.
URL: https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/operators/boolean-logical-operators
Title: Boolean logical operators - AND, OR, NOT, XOR
Content: When the left-hand operand evaluates to <b>false</b>, the operation result is <b>false</b> regardless of the value of the <b>right</b>-hand operand. However, even then, the <b>right</b>-hand operand is evaluated. ... .WriteLine(true ^ <b>true</b>); // output: <b>False</b> Console.WriteLine(true ^ <b>false</b>); // output: <b>True</b> Console.WriteLine(false ^ <b>true</b>); // output: <b>True</b> Console.WriteLine ...


Assistant: